Question

Question 9 A particular fruit's weights are normally distributed, with a mean of 792 grams and a standard deviation of 36 grams. The heaviest 12% of fruits weigh more than how many grams? Give your answer to the nearest gram. Question Help: Message instructor T2 Calculator Submit Question

Answer 1

Solution:

Given that,

mean = $\mu$ =792

standard deviation = $\sigma$ = 36

Using standard normal table,

P( Z > z) = 12%

P(Z > z) = 0.12

1 - P( Z < z) = 0.12

P(Z < z) = 1 - 0.12

P(Z < z) = 0.88

z = 1.17

Using z-score formula,

x = z * $\sigma$ + $\mu$

x = 1.17 * 36 + 792

x = 834.12