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17) A sales firm receives an average of three calls per hour on its toll-free nu

ID: 3043363 • Letter: 1

Question

17) A sales firm receives an average of three calls per hour on its toll-free number. For any given hour, find the probability that it wil receive at least three calti. A) 0.5768 B) 0.1891 C) 0.4232 D) 0.6138 18) A local fire station receives a n average of 0.55 rescue calls per day. Find the mean number of rescue calls per day A) 0.10 B)0.89 C) 0.55 D) 0.08 19) A local fire station receives an average of 0.55 rescue calls per day. Find the probability that on a randomly selected day, the fire station will receive fewer than two calls. A) 0.894 B) 0.106 C) 0.317 D) 0.087 0) For a recent period of 10 years, there were 680 Atlantic typhoons. Find the standard deviation of typhoons per year B) 7.4 C) 68 D) 680 A) 5.3

Explanation / Answer

solution:-

17. option A.0.5768

formula = P(X=x) = (x-e- ) / x!

18. option C. 0.55

19. option A. 0.894

P(X<2) = P(x=1) + P(x=2)

=( (0.55)0 e-0.55 ) / 0! + ( (0.55)1 e-0.55 ) / 1!

= 0.854

20. option C. 68

680 / 10 = 68

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