Answer the following questions: 1. What is the probability that exactly two tellers are busy at 12:00 noon? 2. What is the probability that at least three tellers are busy at 12:00 noon? 3. What is the probability that fewer than the four tellers are busy at 12:00 noon?

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 one of the banks in Davao City, the number of tellers (X) are busy
with customers at 12:00 noon that varies from day to day. Past records
indicate the probability distribution of X below,
Number of Tellers (X)
Probability P(X)
0.095
1
0.265
0.285
3
0.205
4
0.150
Answer the following questions:
1. What is the probability that exactly two tellers are busy at 12:00
noon?
2. What is the probability that at least three tellers are busy at 12:00
noon?
3. What is the probability that fewer than the four tellers are busy at
12:00 noon?
4. What is the probability that, at least to two, but fewer than four
tellers are busy at 12:00 noon?
5. Solve and interpret the mean and variance of the probability
distribution?
Transcribed Image Text:In one of the banks in Davao City, the number of tellers (X) are busy with customers at 12:00 noon that varies from day to day. Past records indicate the probability distribution of X below, Number of Tellers (X) Probability P(X) 0.095 1 0.265 0.285 3 0.205 4 0.150 Answer the following questions: 1. What is the probability that exactly two tellers are busy at 12:00 noon? 2. What is the probability that at least three tellers are busy at 12:00 noon? 3. What is the probability that fewer than the four tellers are busy at 12:00 noon? 4. What is the probability that, at least to two, but fewer than four tellers are busy at 12:00 noon? 5. Solve and interpret the mean and variance of the probability distribution?
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