Question

Fatima conducts emissions inspections on cars. She finds that 6%, percent of the cars fail the inspection. Let C be the number of cars Fatima inspects until a car fails an inspection. Assume that the results of each inspection are independent.

Required:
Find the probability that the first failed inspection occurs on Fatima's 5th inspection.

Answer 1

Answer:

.05

Step-by-step explanation:

khan

Answer 2

The probability that the first failed inspection occurs on Fatima's 5th inspection is to be considered as the 0.05.

Calculation of the probability;

Since

Here x follow geometric (0.06)

So it can be like

p(x=4)

$=0.94^4\times 0.06$

= 0.05

Hence, The probability that the first failed inspection occurs on Fatima's 5th inspection is to be considered as the 0.05.

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