Let X represent the number of times a student washes his/her car during October.

ID: 3258369 • Letter: L

Question

x | 0 1 2 3 4

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p(x) | 0.2 0.4 0.2 0.1 0.1

What is the probability that a student washes his/her car at least once in October? Round to one decimal.

What is the probability that a student washes his/her car at most twice in October? Round to one decimal.

Find the probability the student washes less than 3.1 cars in October. Round to one decimal.

What is the probability that student washes more than one car, but less than four cars in October? Round to one decimal.

(a)

Probability that student never washes is car in the month of october, P(0) = 0.2

Hence probability that student washes his/her car at least once in october = 1 - P(0) = 1 - 0.2 = 0.8

(b)

probability student washes his/her car at most twice in october = p(0) + p(1) + p(2)

= 0.2 + 0.4 + 0.1
= 0.7

(c)

Probability that student washes less than 3.1 cars = p(0) + p(1) + p(2) + p(3)
= 0.2 + 0.4 + 0.2 + 0.1
= 0.9

(d)

probability that student washes more than one car, but less than four cars in October = p(2) + p(3) + p(4)
= 0.2 + 0.1 + 0.1
= 0.4

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