1/Suppose that about 84% of graduating students attend theirgraduation. A group of 37 students is randomly chosen, and let X bethe number of students who attended their graduation.
Please show the following answers to 4 decimalplaces.
- What is the distribution of X? X ~ ? B U NÂ Â (,)
- What is the probability that exactly 29 number of students whoattended their graduation in this study?
- What is the probability that at least 29 number of students whoattended their graduation in this study?
- What is the probability that more than 29 number of studentswho attended their graduation in this study?
- What is the probability that between 26 and 31 (including 26and 31) number of students who attended their graduation in thisstudy?
2/A company prices its tornado insurance using the followingassumptions:
• 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 ofthe number of tornados in any other calendar year.
Using the company's assumptions, calculate the probability thatthere are fewer than 4 tornadoes in a 23-year period
3/A local bakary has determined a probability distribution forthe 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 givenday?
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 thediscrete probability distribution?
What is the probability of selling at most 10 cheesecakes?
4/Find the mean of the following probability distribution? Roundyour 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 byschool-aged children and young adults. She collected the followingdata.
| 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 nearesttenth, if necessary.
( ) hours
Find the five-number summary.
.
