a. Determine the probability of A receiving 1 call and B receiving 2 calls. Answer in fraction or in exact decimals b. What is the probability that at least five calls were received in total by both operators? Answer in fraction or in exact decimals c. If during a particular hour B received at most two phone calls, what is the probability that A received four phone calls? Answer in exact fraction or rounded to at least 4 decimal places

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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The following table represents the joint probability distribution of the number of phone calls received per hour by operator A and operator B at a call center.
А— 1
А- 2
A= 3
A= 4
PB (B= b)
B=1
0.07
0.06
0.11
0.04
B=2
0.05
0.02
0.351
В -3
0.017
0.1
0.05
B=4
0.1
0.01
0.02
0.01
PA(A= a)
0.393
a. Determine the probability of A receiving 1 call and B receiving 2 calls.
Answer in fraction or in exact decimals
b. What is the probability that at least five calls were received in total by both operators?
Answer in fraction or in exact decimals
c. If during a particular hour B received at most two phone calls, what is the probability that A received four phone calls?
Answer in exact fraction or rounded to at least 4 decimal places
Transcribed Image Text:The following table represents the joint probability distribution of the number of phone calls received per hour by operator A and operator B at a call center. А— 1 А- 2 A= 3 A= 4 PB (B= b) B=1 0.07 0.06 0.11 0.04 B=2 0.05 0.02 0.351 В -3 0.017 0.1 0.05 B=4 0.1 0.01 0.02 0.01 PA(A= a) 0.393 a. Determine the probability of A receiving 1 call and B receiving 2 calls. Answer in fraction or in exact decimals b. What is the probability that at least five calls were received in total by both operators? Answer in fraction or in exact decimals c. If during a particular hour B received at most two phone calls, what is the probability that A received four phone calls? Answer in exact fraction or rounded to at least 4 decimal places
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