Question

The weights of a certain type of captured fish can be described by a bell-shaped distribution (symmetric and unimodal) with a mean of 1050 grams and a standard deviation of 375 grams. What is the probability of fish that have weights above 675g

Answer 1

0.913716

Explanation:

Given a normal distribution :

Mean, x = 1050

Standard deviation, σ = 375

The Zscore = (x - mean) / σ

Zscore = (675 - 1050) / 275

Zscore = - 1.364

The probability :

P(Z > - 1.364)

P(Z > - 1.364) = 1 - P(Z < - 1.364) = 1 - 0.086284

P(Z > - 1.364) = 0.913716