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?
1 answer:
Answer:
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
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