In: Statistics and Probability
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 !!
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