Question

A survey shows that during the COVID-19 pandemic, young Canadians work out an average of 43 minutes with a standard deviation of 12 minutes every two days. The work out time is normally distributed.

find the probability that a young Canadian works out between 22 and 52 minutes every two days.

a) 0.6915

b) 0.7734

c) 0.0401

d) 0.7333

Answer 1

Let X be the work out time.

Then it is given that

We need to find the probability that a young Canadian works out between22 and 52 minutes every two days.

That is, we need to find  

From standard normal table, P(-1.75<z<0.75)= 0.7333

Required Probability= 0.7333

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