Question

Telemarketing. the probability that a call will reach a live person is 0.2. the calls are independent. (a) a telemarketer places 5 calls. what is the probability that none of them reaches a live person.

Answer 1

Solution: Telemarketing. the probability that a call will reach a live person is 0.2. the calls are independent. (a) a telemarketer places 5 calls. what is the probability that none of them reaches a live person.

Answer: The given random experiment can be considered as binomial experiment with probability of success = 0.2 and number of trials = 5

Therefore, we have:

`n=5,p=0.2,q=(1-p)=1-0.2=0.8`

Let x be the number calls that reach to live person.

We have to find
`P(x=0)`

Using the binomial probability distribution, we have:

`P(x=0)=\binom{5}{0}0.2^(0) (1-0.2)^(5-0)`

`=1 * 1 * 0.8^(5)`

`=0.3277`

Therefore, the probability that none of them reaches a live person is 0.3277