Question

Fionn observed that 91\%91%91, percent of the background checks he processes are for potential employees who have already interviewed. Let BBB be the number of background checks Fionn processes to get his first background check for a potential employee who has not yet interviewed for the job. Assume that the interview statuses are independent. Find the probability that the 8^{\text{th}}8 th 8, start superscript, start text, t, h, end text, end superscript background check that Fionn processes is the first for which the potential employee has not yet interviewed.

Answer 1

Answer:

0.05

Step-by-step explanation:

checked via khan academy

Answer 2

Rounding to the nearest hundredth, 0.06 = 6% probability that the first new customer places the 5th order.

What is probability?

Probability is the extent to which an event is likely to occur, measured by the ratio of the favourable cases to the whole number of cases possible.

We want to find that the first order placed by a new customer is the 5th.

We have that:

8% = 0.08 probability that an order is placed by a new customer.

1 - 0.08 = 0.92 = 92% probability that an order is placed by an old customer.

Probability that the first order placed by a new customer is the 5th:

First four all old, each with 0.92 probability.

Firth new, with 0.08 probability. So

$p=(0.94)^4\times 0.08=0.0573$

Rounding to the nearest hundredth, 0.06 = 6% probability that the first new customer places the 5th order.

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