Approximately 18% of the calls to an airline reservation phone line result in a

Question

Approximately 18% of the calls to an airline reservation phone line result in a reservation being made.

(a) Suppose that an operator handles 10 calls. What is the probability that none of the 10 calls result in a reservation? (Give the answer to 3 decimals places.)

(b) What assumption did you make to calculate the probability in Part (a)?

-Calls are dependent___

-Calls are independent___

(c) What is the probability that at least one call results in a reservation being made? (Give the answer to 3 decimals places.)

Explanation / Answer

Ans:

a)Given that

n=10 and p=0.18

P(none)=(1-0.18)^10=0.137

b)Calls are independent.

c)P(atleast one)=1-P(none)=1-0.137=0.863

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