Question

1/Suppose that about 84% of graduating students attend their graduation. A group of 37 students is randomly chosen, and let X be the number of students who attended their graduation.

Please show the following answers to 4 decimal places.

1. What is the distribution of X? X ~ ? B U N  (,)
2. What is the probability that exactly 29 number of students who attended their graduation in this study?
3. What is the probability that at least 29 number of students who attended their graduation in this study?
4. What is the probability that more than 29 number of students who attended their graduation in this study?
5. What is the probability that between 26 and 31 (including 26 and 31) number of students who attended their graduation in this study?

2/A company prices its tornado insurance using the following assumptions:
• In any calendar year, there can be at most one tornado.
• In any calendar year, the probability of a tornado is 0.13.
• The number of tornadoes in any calendar year is independent of the number of tornados in any other calendar year.
Using the company's assumptions, calculate the probability that there are fewer than 4 tornadoes in a 23-year period

3/A local bakary has determined a probability distribution for the number of cheesecakes that they sell in a given day.

X= #sold
	0	5	10	15	20
Probability	0.13	0.17	0.27	...?	0.18

What is the probability of selling 15 cheesecakes in a given day?
What is the probability of selling at least 10 cheesecakes?
What is the probability of selling 5 or 15 chassescakes?
What is the peobaility of selling 25 cheesecakes?
Give the expected number of cheesecakes sold in a day using the discrete probability distribution?
What is the probability of selling at most 10 cheesecakes?

4/Find the mean of the following probability distribution? Round your answer to four decimal places.

xx	P(x)P(x)
0	0.175
1	0.2119
2	0.2073
3	0.2239
4	0.1819

μμ =

5/

A researcher gathered data on hours of video games played by school-aged children and young adults. She collected the following data.

4	5	13	13	16	11	3	15	1	8
13	8	14	0	1	1	3	12	4	6
6	12	14	5	13	10	11	8	13	2
13	4	11	15	2	5	7	13

Find the range.
( ) hours
Find the standard deviation. Round your answer to the nearest tenth, if necessary.
( ) hours
Find the five-number summary.

Min	Q1	Median	Q3	Max

.

Answer 1