Question

1/The time it takes me to wash the dishes is uniformly distributed between 6 minutes and...

1/The time it takes me to wash the dishes is uniformly distributed between 6 minutes and 14 minutes.
What is the probability that washing dishes tonight will take me between 9 and 10 minutes?
Give your answer accurate to two decimal places.

2/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 0.29 0.26 0.27 ...? 0.06

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?

3/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 0.08.
• 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 2 tornadoes in a 14-year period.

4/The owner of a small deli is trying to decide whether to discontinue selling magazines. He suspects that only 10.7% of his customers buy a magazine and he thinks that he might be able to use the display space to sell something more profitable. Before making a final decision, he decides that for one day he will keep track of the number of customers that buy a magazine. Assuming his suspicion that 10.7% of his customers buy a magazine is correct, what is the probability that exactly 6 out of the first 12 customers buy a magazine?

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