Question 1 2 pts A student believes that there is a 90% probability of getting a

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Question 1 2 pts

A student believes that there is a 90% probability of getting an A on the next test. This would be considered:

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Question 2 2 pts

Given the following information, find the probability that a randomly selected student will be very short. Number of students who are very short: 45, short: 60, tall: 82, very tall: 21

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Question 3 2 pts

Given the following information, find the probability that a randomly selected dog will be a poodle. Number of dogs who are poodles: 31, golden retrievers: 58, beagles: 20, pugs: 38

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Question 4 2 pts

Given that there is a 28% chance it will rain on any day, what is the probability that it will rain on the first day and be clear (not rain) on the next two days?

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Question 5 2 pts

Consider the following table. What is the probability of no?

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Question 6 2 pts

Consider the following table. What is probability of yes, given green?

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Question 7 2 pts

A card is randomly selected from a standard deck of 52 cards. What is P(face card)?

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Question 8 2 pts

In a sample of 400 customers, 140 say that service is poor. You select two customers without replacement to get more information on their satisfaction. What is the probability that both say service is poor?

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Question 9 2 pts

In a sample of 528 customers, 237 say they are happy with the service. If you select three customers without replacement for a commercial, what is the probability they will all say they are happy with the service?

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Question 10 2 pts

A salesperson purchases the deli's specialty sandwich one day, and a mechanic purchases the deli's specialty sandwich the next day. How would you classify these events?

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Question 11 2 pts

A company sells 14 types of crackers that they label varieties 1 through 14, based on spice level. What is the probability that one purchase results in a selection of a cracker with an even number or a number less than 5?

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Question 12 2 pts

Of the shirts produced by a company, 6.5% have loose threads, 9.5% have crooked stitching, and 3% have loose threads and crooked stitching. Find the probability that a randomly selected shirt has loose threads or has crooked stitching.

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Question 13 2 pts

Randomly select a customer that drives to our store. Randomly select a customer who is 14 years old. Are these events mutually exclusive?

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Question 14 2 pts

In a sample of 780 adults, 209 said that they liked sugar cereals. Three adults are selected at random without replacement. Find the probability that all three like sugar cereals.

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Question 15 2 pts

In a sample of 80 adults, 28 said that they would buy a car from a friend. Three adults are selected at random without replacement. Find the probability that none of the three would buy a car from a friend.

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Question 16 2 pts

A sock drawer has 17 folded pairs of socks, with 8 pairs of white, 5 pairs of black and 4 pairs of blue. What is the probability, without looking in the drawer, that you will first select and remove a black pair, then select either a blue or a white pair?

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Question 17 2 pts

An investment advisor believes that there is a 60% chance of making money by investing in a specific stock. If the stock makes money, then there is a 50% chance that among those making money, they would also get a dividend. Find the probability that the investor makes money and receive a dividend.

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Question 18 2 pts

An investment advisor believes that there is a 60% chance of making money by investing in a specific stock. If the stock makes money, then there is a 50% chance that among those making money, they would also get a dividend. Find the probability that the investor makes money and receive a dividend.

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Question 19 2 pts

A smartphone company found in a survey that 6% of people did not own a smartphone, 15% owned a smartphone only, 26% owned a smartphone and only a tablet, 32% owned a smartphone and only a computer, and 21% owned all three. If a person were selected at random, what is the probability that the person would own a smartphone only or a smartphone and computer?

Explanation / Answer

1)Subjective probability

2)probability that a randomly selected student will be very short =45/(45+60+82+21)=0.2163 ~21.6%

3) probability that a randomly selected dog will be a poodle=31/(31+58+20+38)=0.2109 ~21.1%

4) probability that it will rain on the first day and be clear (not rain) on the next two days

=0.28*(1-0.28)*(1-0.28)=0.1451 ~14.5%

5)

probability of no =51/87

6)

probability of yes, given green =14/42

7)

P(face card) =12/52=

8)

probability that both say service is poor =(140/400)*(139/399)=0.1219~ 12.19%

9)

probability they will all say they are happy with the service =(237/528)*(236/527)*(235/526)

=0.0898 ~8.98%

10)

Independent

11)

probability that one purchase results in a selection of a cracker with an even number or a number less than 5 =(9/14)*100=64.3%
12)

probability that a randomly selected shirt has loose threads or has crooked stitching=6.5+9.5-3=13

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