1. At a convenience store, customers are equally likely to pay with credit card as with debit. Over the last 2 hours, 11 people have paid with credit and 15 with debit. What is the probability the next customer pays with a credit card?

2. If 2/3 of a population is taller than 62 inches, what is the probability that in a randomly selected group of 4 people, all 4 are taller than 12 inches?

3. Two six-sided dice are rolled and the sum is observed. Define events A and B as follows: Event A: The sum is odd. Event B: The sum is less than 9.

b.

4 bookstore owner needs to display an author's work. If the author has written 17 books and theowner can only display 10 of them, how many different displays are possible, without regard to the order?

5 password has 3 letters followed by 4 digits. How many different passwords are possible?

What is the probability of correctly guessing the password in the previous problem?

6 There are 25 basketball players to be chosen in the first round of the draft. In how many ways can the first 10 be chosen?

7 Decide if the random variable is discrete or continuous?

a. concentration of alcohol in a wine bottle b. number of parking tickets given in a day

10. Decide if the following distribution is a probability distribution.x01234

P(x) 0.11 0.05 0.72 0.08 0.05 11. Below is a frequency table for number of siblings as reported by 100 respondents.

#ofsiblings0 1 2 3 4 5 6Frequency13 27 29 18 6 5 2

Make a probability distribution for the data.

Compute the mean, variance, and standard deviation.

What is the probability a randomly selected person has 2 siblings?

What is the probability a randomly selected person has at least 3 siblings?

Statistics-

In a particular county, 63% of all jury trials involve theft. Also, on any given day 4 jury panels are selected.

What is the probability that out of 20 trials over half involve theft?

Find the probability that 5 juries are selected tomorrow.

Find the probability that no more than 3 juries are chosen tomorrow.

A recent poll reveals 41% of voters approve of the president's foreign policy.

Out of 50 people, what is the probability exactly 23 people approve?

Find the mean, variance, and standard deviation.

Sales history shows an insurance company opens 42 new policies per week, on average.

12. What is the probability that 45 new policies are opened next week?

13. What is the probability that at most 40 new policies are opened next week?

14. What is the probability that at least 50 new policies are opened next week?

15. What is the probability that between 40and 50 new policies are opened next week?

FORMULA FOR EACH, how to solve step by step and how to use on excel calculator