Question

1. A particular fruit's weights are normally distributed, with a mean of 601 grams and a...

1. A particular fruit's weights are normally distributed, with a mean of 601 grams and a standard deviation of 24 grams.
If you pick one fruit at random, what is the probability that it will weigh between 562 grams and 610 grams.

2.  A particular fruit's weights are normally distributed, with a mean of 784 grams and a standard deviation of 9 grams.
The heaviest 7% of fruits weigh more than how many grams? Give your answer to the nearest gram.

3. The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 31 liters, and standard deviation of 7 liters.

A) What is the probability that daily production is less than 31.5 liters?

B) What is the probability that daily production is more than 26 liters?
Warning: Do not use the Z Normal Tables...they may not be accurate enough since WAMAP may look for more accuracy than comes from the table.

4. A distribution of values is normal with a mean of 158.1 and a standard deviation of 27.7.
Find P27, which is the score separating the bottom 27% from the top 73%.
P27 =
Enter your answer as a number accurate to 1 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

5.  The combined SAT scores for the students at a local high school are normally distributed with a mean of 1473 and a standard deviation of 298. The local college includes a minimum score of 2337 in its admission requirements.
What percentage of students from this school earn scores that fail to satisfy the admission requirement?
P(X < 2337) =  %
Enter your answer as a percent accurate to 1 decimal place (do not enter the "%" sign). Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.