Home Maths Probability General A car hire firm has 2 cars which it hires ou…
Maths Probability General Single Correct MCQ
Published on: August 13, 2026

A car hire firm has 2 cars which it hires out day by day. The number of demands for a car on each day is distributed as a P.D. with mean 1.5. Then the proportion of days on which the demand is refused is (e -1.5 = 0.2231)

A
0.7823
B
0.2711
C
0.2717
D
0.2177

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Text Solution

Verified by Experts
The correct answer is:
D

λ λ = 1.5

X = {0, 1, 2, 3, ----- ∞ ∞ }

P(X>2) = 1-[P(X=0) + P(X=1) +P(X=2)

= 1 - (0.2231 + 1.5 x 0.2231 + x 0.2231)

= 1 - 0.2231 (1 + 1.5 + 1.125)

= 1 - 3.625 x 6.2231

= 1 - 0.8087

= 0.2177

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