Question

# Consider the probability distribution shown below. x 0 1 2 P(x) 0.05 0.50 0.45 Compute the...

Consider the probability distribution shown below.

 x 0 1 2 P(x) 0.05 0.5 0.45

Compute the expected value of the distribution.

Consider a binomial experiment with

n = 7 trials

where the probability of success on a single trial is

p = 0.10.

(a) Find

P(r = 0).

(b) Find

P(r ≥ 1)

by using the complement rule.

Compute the standard deviation of the distribution. (Round your answer to four decimal places.)

A baker is deciding how many batches of muffins to make to sell in his bakery. He wants to make enough to sell every one and no fewer. Through observation, the baker has established a probability distribution.

x P(x)
1 0.10
2 0.30
3 0.40
4 0.20

What is the probability the baker will sell exactly one batch? (Enter an exact number as an integer, fraction, or decimal.)

P(x = 1) =

Consider each distribution. Determine if it is a valid probability distribution or not, and explain your answer.

 (a) x 0 1 2 P(x) 0.24 0.64 0.12

No. The probabilities do not sum to 1.No. The probabilities sum to 1.    Yes. The probabilities sum to 1.Yes. The probabilities do not sum to 1.

 (b) x 0 1 2 P(x) 0.24 0.64 0.13

Yes. The probabilities do not sum to 1.No. The probabilities sum to 1.    Yes. The probabilities sum to 1.No. The probabilities do not sum to 1.