An executive in a company makes on an average of 5 telephone calls per hour at a cost of Rs. 2 per cell. the probability that in any hour the cost of the calls exceeds a sum of Rs. 4 is?
Answers
Given : An executive in a company makes on an average of 5 telephone calls per hour at a cost of Rs. 2 per cell.
To find : the probability that in any hour the cost of the calls exceeds a sum of Rs. 4
Solution:
average of 5 telephone calls per hour at a cost of Rs. 2 per cell.
λ = 5
P(x) = λˣ e^(-λ) / x!
in any hour the cost of the calls exceeds a sum of Rs. 4
=> Calls exceed by 4/2 = 2
probability = 1 - P(0) - P(1) - P(2)
= 1 - 5⁰e⁻⁵/0! - 5¹e⁻⁵/1! - 5²e⁻⁵/2!
= 1 - e⁻⁵( 1 + 5 + 25/2)
= 1 - e⁻⁵(37/2)
= 1 - 0.12465
= 0.87535
0.87535 is the probability that in any hour the cost of the calls exceeds a sum of Rs. 4
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