Using the data on “data for test” tab for questions 1-20 answer the following qu
ID: 2927857 • Letter: U
Question
Using the data on “data for test” tab for questions 1-20 answer the following questions. This data is for the Delicious Donut company and contains information for a sample of its stores. Note, please use excel to calculate percentiles, quartiles and median.
What variables are quantitative?
Review (# stars)
Total Profit
Dozens sold each day
B and C are correct
A, B and C are correct
What best describes the variable “Other Featured Items”
Qualitive, Ordinal
Quantitative, Ratio
Qualitive, Nominal
Qualitive, Interval
How many quantitative variables are there?
7
8
2
3
These data are best described as:
A timeseries
A cross-sectional
A cross-sectional timeseries
None of the above describe the data
Consider yourself an employee of the Delicious Donut Donut company,
This data is then primary data
This data is then secondary data
This data is both primary and secondary data
This data is neither primary or secondary data
You have decided to build the histogram for the number of employees (see below)
Number of Employees
2-3
4=5
6-7
8-9
10-12
What is the frequency for 6-7 employees?
7
23
10
12
Using the above histogram, what is the relative frequency for 8-9 employees?
0.1
0.3
0.7
0.2
Build a scatter diagram for Total Profit and Complaints, which answer best describes the graphic?
As the number of complaints increases total profit decreases
As the number of complaints decreases total profit increase
As the number of complaints increases total profit increases
There is no apparent relationship between the number of complaints and total profit
Both A and B are correct
Which Stem and Leave display is correct for variable “Sales of featured item each day”?
A
C
0
8 9
0
8 9
1
0 0 0 0 0 1 2 3 3 3 4 4 5 5 6 7 8 8
1
0 0 0 0 0 1 2 3 3 3 4 4 5 5 6 7 8 8
2
1 2 2 3 3 3 3 3 4 4 4 6 6 9 9 9 9
2
1 2 2 3 3 3 3 3 4 4 4 6 6 9 9 9 9
3
0 0 0
3
0 0
B
D
0
8 9
0
8 9
1
0 0 0 0 1 2 3 3 3 4 4 5 5 6 7 8 8
1
0 0 0 0 1 1 2 3 3 3 4 4 5 5 6 7 8 8
2
1 2 2 3 3 3 3 3 4 4 4 6 6 9 9 9 9
2
1 2 2 3 3 3 3 3 4 4 4 6 6 9 9 9 9
3
0 0 0
3
0 0 0
A
B
C
D
Pie charts are best used when you want to
Highlight the actual data
Compare proportions for categorical data
When you want to compare two variables
All of the above are correct
What is the average Number of Employees?
5.3
8.1
6.4
7.1
What is the median Review (# stars) score?
2.5
2.79
4.2
1.8
What is the range for Profit from Featured Item Sales?
$789
$715
$138
$465
What is the 35th percentile for Dozens sold each day?
6.00
14.65
5.65
8.25
What is the mode for Pastry Type?
11
Gluten Free
10
Can’t calculate it
What is the variance for Complaints?
13.00
5.93
3.34
11.15
What is the correlation between Dozens Sold Each Day and Total Profit?
0.97
0.03
0.24
0.30
Which of the following statements is correct?
Total Profit is less dispersed than Profit from Featured Item Sales
Total Profit is more dispersed than Profit from Featured Item Sales
Total Profit is more dispersed than Profit from Pastry Sales
Both B and C are correct
The interquartile range for Sales of Featured Item Each Day is?
22
11
8
17
The standard deviation for Profit From Pastry Sales is?
66.45
196.32
1198.56
34.62
The probability that a student gets an “A” in a given course is 0.3. The probability that a student is female in the course is 0.6. The probability that a student gets an A or is female is 0.7. What is the probability a student is female and gets an A.
0.18
0.33
0.42
0.20
An automobile dealer has three locations. One in Lincoln, another in Omaha, and the final one in Kansas City. The dealer sells Fords and Toyotas at each location. The chart below shows the probability that a car is sold from that location. In the next column is the probability the car sold from that location is a Ford. What is the probability that a car sold from any location is a Ford?
Location
Location Probability
Probability a Ford
Omaha
0.35
0.5
Lincoln
0.25
0.6
Kansas City
0.4
0.3
0.350
0.445
0.555
0.467
A convenience store in the south has found that the probability that a soda sold in the store is a Coke is 0.6. The probability that the soda is any other brand is 0.4. The probability that the soda is a diet soda given it is a coke is 0.3. The probability that it is a diet soda given it is any other brand is 0.6. What is the probability that any given soda sold is a diet soda?
0.42
0.24
0.18
0.66
A certain password must be 5 characters long. The first 2 characters must be letters, the second 2 characters must be numbers. The last number can be a letter or a number. How many different passwords can be created?
17,576,000
2,433,600
676,000
1,757,600
There are 25 finalists in a drawing. First prize is a trip to Hawaii, second prize is a trip to Chicago. Third prize is a trip to Kansas City. How many different ways can the prizes be awarded?
2,300
24,360
1,140
13,800
A company has 50 employees but only 6 parking places in this location. The rest of the employees must take a shuttle into the work location. Each month the company randomly assigns the parking spots to their employees. How many different ways can these parking spots be assigned?
3,838,380
11,441,304,000
15,890,700
50,063,860
Event A and Event B are independent events. P(A) = 0.7 P(B) = 0.4. What is P(A|B)?
0.28
0.7
0.4
0.57
Which of the following is not a true statement?
The sum of all probabilities for the events in the sample space must equal 1.
The probability of an event must be between 0 and 1.
The compliment of an event is equal to the probability of that event.
If the probability of an event equals 0, that event will not occur.
Use the following table for questions 29 and 30 The table details students enrolled in a course at Bellevue University.
Residential
Online
Total
Male
16
12
28
Female
24
8
32
Total
40
20
60
What is the probability that a student taking the course is male?
0.40
0.60
0.57
0.47
What is the probability that a student is female given the course is residential?
0.60
0.40
0.47
0.53
A salesman has 30 appointments this week. The probability of making a successful sale is 0.58. What is the probability the salesman will make at least 18 sales for the week (assume Binomial distribution)?
0.144
0.511
0.346
0.489
What is the probability the salesman will make exactly 19 sales?
0.780
0.125
0.220
0.062
What is the probability that the salesman will make less than 12 sales?
0.036
0.075
0.015
0.142
Use the following probability distribution for questions 34 and 35. It details the probabilities for number of sales at a small used car lot each day.
Sales
Probability
0
0.14
1
0.19
2
0.23
3
0.2
4
0.14
5
0.1
What is the expected value for number of car sales each day?
2.72
1.69
2.00
2.31
What is the standard deviation of the sales each day?
2.31
1.52
0.23
2.71
Use this table for question 36. This table is the relative frequency distribution of daily sales (tire repaired) at a local tire repair shop.
Tire repaired Xi
Relative Freq.
1
0.067
2
0.133
3
0.200
4
0.267
5
0.333
What is the probability of four tires repaired in a day?
0.267
0.033
0.121
0.201
Real estate agent has 0.40 probability of closing a deal (making a sale) with each buyer. If the agent has 15 appointments with potential buyers. What is the expected number of sales she would make from 15 appointments? (Binomial probability is applied).
5.3
6.0
4.3
3.3
Real estate agent has 0.40 probability of closing a deal (making a sale) with each buyer. If the agent has 15 appointments with potential buyers. What is the Standard Deviation of number of sales she would make from 15 appointments? (Binomial probability is applied).
1.897
1.002
1.661
1.032
A local bar keeps records of Happy Hour (5:00 P.M. to 6:00 PM), number of customers arriving. On average, 7 customers arriving during the happy hour. Let’s assume these arrivals follow the Poisson distribution. On a given day, what is probability of exactly 4 customers will arrive during the Happy Hour?
0.0082
0.0351
0.0563
0.0912
A local bar keeps records of Happy Hour (5:00 P.M. to 6:00 PM), number of customers arriving. On average, 7 customers arriving during the happy hour. Let’s assume these arrivals follow the Poisson distribution. On a given day, what is probability of at most 2 customers will arrive during the Happy Hour?
0.0296
0.0212
0.0103
0.0190
Americans watch (streaming) an average 80 minutes of Netflix per day. Let’s assume daily streaming of Netflix minutes follows a normal distribution with a standard deviation of 15 minutes. What is the probability of that a randomly selected American will be streaming no more than 92 minutes of Netflix today?
0.7355
0.7881
0.8912
0.9225
Americans watch (streaming) an average 80 minutes of Netflix per day. Let’s assume daily streaming of Netflix minutes follows a normal distribution with a standard deviation of 15 minutes. How many minutes an American should watch (streaming) Netflix so that he/she is in the top 3% with respect to the minutes he/she watches Netflix?
A. More than 101
B. More than 102
C. More than 105
D. More than 108
The number of Milk Duds in a yellow 5 oz. box of Milk Duds is normally distributed with a mean of 20 Milk Duds and a standard deviation of 3 Milk Duds. What is the probability that a box of Milk Duds will have no more than 22 Milk Duds in it?
0.7475
0.7056
0.6989
0.7018
The number of Milk Duds in a yellow 5 oz. box of Milk Duds is normally distributed with a mean of 20 Milk Duds and a standard deviation of 3 Milk Duds. What is the probability that a box of Milk Duds will have between 16 to 24 Milk Duds?
0.7822
0.6903
0.7902
0.8176
The speed at which a bottle of milk is filled and sealed is uniformly distributed and takes between 120 to 145 seconds. What is the probability that a bottle of milk can be filled and sealed in exactly 126 seconds?
A. 0
B. 0.33
C. 0.11
D. 0.10
The speed at which a bottle of milk is filled and sealed is uniformly distributed and takes between 120 to 145 seconds. What is the probability that a bottle of milk can be filled and sealed less than 126 seconds?
A. 0.33
B. 0.44
C. 0.24
D. 0.22
The speed at which a bottle of milk is filled and sealed is uniformly distributed and takes between 120 to 145 seconds. What is the probability that a bottle of milk can be filled and sealed between 125 and 142 seconds?
0.68
0.52
0.58
0.39
For problems 48-50, Suppose a truck battery runs for an average of 10,000 miles before it wears out and that battery life follows an exponential distribution.
What is the probability that battery runs no more than 8,000 miles before it wears out?
0.5507
0.1212
0.2103
0.3190
What is the probability that battery runs between 8,000 miles to 12,000 miles before it wears out?
0.5012
0.1222
0.1481
0.2261
What is the probability that battery runs at least 12,000 miles before it wears out?
A. 0.3012
B. 0.4351
C. 0.5355
D. 0.2558
Number of Employees
2-3
4=5
6-7
8-9
10-12
Explanation / Answer
Ans:
1)The probability that a student gets an “A” in a given course is 0.3. The probability that a student is female in the course is 0.6. The probability that a student gets an A or is female is 0.7. What is the probability a student is female and gets an A?
P(A)=0.3
P(female)=0.6
P(A or female)=0.7
P(A or female)=P(A)+P(female)-P(A and female)
0.7=0.3+0.6-P(A and female)
P(A and female)=0.9-0.7=0.2
2)An automobile dealer has three locations. One in Lincoln, another in Omaha, and the final one in Kansas City. The dealer sells Fords and Toyotas at each location. The chart below shows the probability that a car is sold from that location. In the next column is the probability the car sold from that location is a Ford. What is the probability that a car sold from any location is a Ford?
Probabilty that car sold is ford from any location=0.5*0.35+0.6*0.25+0.3*0.4=0.175+0.15+0.12=0.445
3)A convenience store in the south has found that the probability that a soda sold in the store is a Coke is 0.6. The probability that the soda is any other brand is 0.4. The probability that the soda is a diet soda given it is a coke is 0.3. The probability that it is a diet soda given it is any other brand is 0.6. What is the probability that any given soda sold is a diet soda?
P(diet soda)=P(diet soda/coke)+P(diet soda/any other)*P(any other)
=0.3*0.6+0.6*0.4
=0.18+0.24=0.42
4)Event A and Event B are independent events. P(A) = 0.7 P(B) = 0.4. What is P(A|B)?
P(A/B)=P(A and B)/P(B)=P(A)*P(B)/P(B)=P(A)=0.7
5)Which of the following is not a true statement?
The sum of all probabilities for the events in the sample space must equal 1.
The probability of an event must be between 0 and 1.
The compliment of an event is equal to the probability of that event.(FALSE)
If the probability of an event equals 0, that event will not occur.
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