Question

Miles per gallon of a vehicle is a random variable with a uniform distribution from 23 to 47. The probability that a random vehicle gets between 28 and 36 miles per gallon is?

Answer 1

The probability that a random vehicle gets between 28 and 36 miles per gallon is 0.3333.

What's probability?

Probability is an area of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely a statement is to be true. The probability of an event is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.

Given that,

a = 23

b = 47

P(c < x < d) = (d - c) / (b - a)

P(28 < x < 36) = (36 - 28) / (47 - 23) = 0.3333

Probability = 0.3333

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