Question

In: Statistics and Probability

2. The ACME Co. has a customer service center that keeps track of the number of...

2. The ACME Co. has a customer service center that keeps track of the number of super genius coyotes that called for either help, support, or comp

X 0 1 2 3 4 5 6 7
P(X) 0.06 0.18 0.29 0.17 0.09 0.07 0.04

a. Find the missing probability that makes the table a probability distribution.

b. Define the random variable X. X represents......

c. Find the mean, the variance, and the standard deviation. If necessary, round your answer to the nearest hundredth.

Mean:

Variance:

Standard Deviation:

d. Based on the results of the data, how many service representatives should ACME Co. employ?

e. Find the probability that at most 2 super genius coyotes called the customer service center in a random 1-hour period during the day

f. Find the probability that at least 4 super genius coyotes called the customer service center in a random 1-hour period during the day.

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