In a convenient store, the number of tellers (X) busy with customers at 12:00 noon varies from day to day. Past records indicate that the probability distribution of X is as follows: Number of Tellers (X) P(X) 0 0.029 1 0.049 2 0.078 3 0.155 4 0.212 5 0.262 6 0.215 a. What is the probability that fewer than 5 tellers are busy at 12:00 noon? b. What is the mean, variance, and standard deviation of the given data? Use three decimals.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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In a convenient store, the number of tellers (X) busy with customers at 12:00 noon varies from day to day.
Past records indicate that the probability distribution of X is as follows:
Number of Tellers (X)
P(X)
0
0.029
1
0.049
2
0.078
3
0.155
4
0.212
5
0.262
6
0.215
a.
What is the probability that fewer than 5 tellers are busy at 12:00 noon?
b. What is the mean, variance, and standard deviation of the given data? Use three decimals.
Transcribed Image Text:In a convenient store, the number of tellers (X) busy with customers at 12:00 noon varies from day to day. Past records indicate that the probability distribution of X is as follows: Number of Tellers (X) P(X) 0 0.029 1 0.049 2 0.078 3 0.155 4 0.212 5 0.262 6 0.215 a. What is the probability that fewer than 5 tellers are busy at 12:00 noon? b. What is the mean, variance, and standard deviation of the given data? Use three decimals.
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