Question 27 - Week 1 Practice

Question 27

00:00Est. 1 min

Marks:+2.000.00

Passage

An analyst is responsible for conducting emissions inspections on bikes. During the inspections, the analyst found that

10\%

of the bikes fail the inspection. Let

X

be a geometric variable which denotes the number of bikes the analyst inspects until a bike fails an inspection. Assume that the results of each inspection are independent. Based on the above data, answer the given subquestions.

Question

What is the probability that the first failed inspection occurs on the analyst's

5^{\text{th}}

inspection? Enter the answer correct to three decimal places.

Comprehension

Easy Difficulty

25 February 2024

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