Walleye is a common game fish. Adult walleye have a length with a mean of 44 cm and a standard deviation of 4 cm, and the distribution of lengths is approximately Normal. What fraction of fish are greater than 41 cm in length?

Select one O a. - 0.75 O b. 0.22??.077 O d. 0.75

Answer:b. 0.22

Step-by-step explanation:

Since the lengths of adult walleye fishes are normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ) / σ

Where

x = lengths of walleye fishes.

µ = mean length

σ = standard deviation

From the information given,

µ = 44 cm

σ = 4 cm

We want to find the probability or fraction of fishes that are greater than 41 cm in length. It is expressed as

P (x > 41) = 1 - P (x ≤ 41)

For x = 41,

z = (41 - 44) / 4 = - 0.75

Looking at the normal distribution table, the probability corresponding to the z score is 0.22