Question

In: Statistics and Probability

Use the normal distribution of fish lengths for which the mean is 8 inches and the...

Use the normal distribution of fish lengths for which the mean is 8 inches and the standard deviation is 2 inches. Assume the variable x is normally distributed.

What percent of the fish are longer than 11 inches?

If 300 fish are randomly​ selected, about how many would you expect to be shorter than 77 inches ?

​Approximately ?? percentage of fish are longer than 11 inches?

please help !!

Solutions

Expert Solution

Here,

X ~ Normal(8, 22)

i)

The percent of the fish are longer than 11 inches = 100*P(X>11) = 100*0.0668 = 6.68% 7%

ii)

If 300 fish are randomly​ selected,

Expected number of fishes to be shorter than 77 inches = 300*P(X<7) = 300*0.3085 = 92.55 93


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