# Statistic probability | Probability homework help

3. A particular fruit’s weights are normally distributed, with a mean of 223 grams and a standard deviation of 8 grams.

If you pick one fruit at random, what is the probability that it will weigh between 219 grams and 234 grams? Round to 4 decimal places.

4. A particular fruit’s weights are normally distributed, with a mean of 433 grams and a standard deviation of 23 grams.

5. The heaviest 17% of fruits weigh more than how many grams? Round to 4 decimal places.

The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 36 liters, and standard deviation of 8.4 liters. Round all answers to 4 decimal places.

a.  What is the probability that daily production is less than 22.5 liters? First find the z-score.

z =

P( x < 22.5) =

b.  What is the probability that daily production is more than 40.9 liters? First find the z-score.

z =

P(x > 40.9)=

6. A distribution of values is normal with a mean of 69 and a standard deviation of 88.4.

Find P29, which is the score separating the bottom 29% from the top 71%.
P29 =