The following table represents the joint probability distribution the number of phone calls received per hour by operator A and operator B at a call center. A = 1 A = 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 B=3 0.017 0.1 0.05 В -4 0.1 0.01 0.02 0.01 PA (A = a) 0.393

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a. Determine the probability of A receiving 1 call and B receiving 2 calls.

b. What is the probability that at least five calls were received in total by both operators?

c. If during a particular hour B received at most two phone calls, what is the probability that A received four phone calls?

**Note: Answer in exact fraction or rounded to at least 4 decimal places

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.
A = 1
A = 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
B= 3
0.017
0.1
0.05
В - 4
0.1
0.01
0.02
0.01
PA (A = a)
0.393
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. A = 1 A = 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 B= 3 0.017 0.1 0.05 В - 4 0.1 0.01 0.02 0.01 PA (A = a) 0.393
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