1. Jim finds an irregularly shaped five-sided rock. He labels each side and toss
ID: 3119317 • Letter: 1
Question
1. Jim finds an irregularly shaped five-sided rock. He labels each side and tossed the rock 100 times. The results are in the following table.
Side 1 2 3 4 5
Frequency 32 18 15 13 22
Find the emperical probability that the rock will land on side 4 if tossed again.
2. On the lottery, where one number is chosen, determine the probability that you would win if you have a choice of 46 numbers to choose from
3. A couple plans to have three children.Find the probability that the couple has a) no boys b) at least one girl, c) either exactly 2 girls or 2 boys.
4. An inspector is checking a sample of lightbulbs for defects. The following table summarizes her findings.
Wattage Good Defective Total
20 80 15 95
50 100 5 105
100 120 10 130
Total 300 30 330
Find the probability that the light bulb is good given that it is 50 watts.
5. Identify the sampling technique used to obtain the sample.
Every 15th CD player coming off an assembly line is checked for defects.
6. Use the frequency distribution to determine a) the total number of observations b) the width of each class c) the midpoint of the 2nd class, and d) the modal class.
Class Frequency
9-15 3
16 - 22 6
23- 29 1
30 - 36 0
37 - 43 3
44 - 50 5
Use the frequency distribution to determine a) the total number of observations b) the width of each class c) the midpoint of the 2nd class, and d) the modal class.
Class Frequency
9-15 3
16 - 22 6
23- 29 1
30 - 36 0
37 - 43 3
44 - 50 5
7.
Explanation / Answer
1. out of the 100 tries, it landed on side four 13 times
so the prob of landing on side 4 = 13/100
2. Since there are 46 nos to choose from and only occurrence of one no. Can lead you to win so the probability that you would win is 1/46
3. The possibility are 3 boys, 3 girls, 2b and 1g, 2 g and 1 b,
There are 4 possibilities.
A) 1/4
B) atleast one girl means there can be one or more than one girl. Ans is 3/4
C)1/4+1/4 =1/2
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