N office manager receives reports from employees via email. The probability model describes the number of emails the manager may receive in a day. Email Received 0 1 2 3 4 5 P (X) 0.05 0.15 0.35 0.25 0.15 0.05 How many emails would you expect the manager to receive each day?

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Mathematics

22 April, 06:21

N office manager receives reports from employees via email. The probability model describes the number of emails the manager may receive in a day. Email Received 0 1 2 3 4 5 P (X) 0.05 0.15 0.35 0.25 0.15 0.05 How many emails would you expect the manager to receive each day?

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Stephen · Answer 1

The correct answer is 2.45.

Step-by-step explanation:

Probability model of an office manager regarding reports from employees is given by:

X = 0; P (X) = 0.05

X = 1; P (X) = 0.15

X = 2; P (X) = 0.35

X = 3; P (X) = 0.25

X = 4; P (X) = 0.15

X = 5; P (X) = 0.05

Now expectation of number of emails that the manager would receive is given by X * P (X)

= 0 * 0.05 + 1 * 0.15 + 2 * 0.35 + 3 * 0.25 + 4 * 0.15 + 5 * 0.05

= 0 + 0.15 + 0.70 + 0.75 + 0.60 + 0.25

= 2.45