Question

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?

Answer= (Round your answer to 4 decimal places.)

B) What is the probability that daily production is
**more** than 26 liters?

Answer= (Round your answer to 4 decimal places.)

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 *P*_{27}, which is the score separating the
bottom 27% from the top 73%.

*P*_{27} =

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.

Answer #1

PART A: A particular fruit's weights are normally distributed,
with a mean of 451 grams and a standard deviation of 29 grams. The
heaviest 14% of fruits weigh more than how many grams? Give your
answer to the nearest gram.
B) Assume that z-scores are normally distributed with a
mean of 0 and a standard deviation of 1.
If P(−b<z<b)=0.4434P(-b<z<b)=0.4434, find
b.
C) A distribution of values is normal with a mean of 21.1 and a
standard deviation of 88.3....

A particular fruit's weights are normally distributed, with a
mean of 228 grams and a standard deviation of 13 grams. If you pick
one fruit at random, what is the probability that it will weigh
between 207.2 grams and 218.9 grams?
(If you get two values that are the same, please regenerate the
problem or contact the instructor if you are unable to do so.)
Answer = (Round to four decimal places.)
Warning: Do not use the Z Normal Tables...they may...

A) A particular fruit's weights are normally
distributed, with a mean of 483 grams and a standard deviation of
21 grams.
If you pick one fruit at random, what is the probability that it
will weigh between 479 grams and 485 grams?
B) A particular fruit's weights are normally
distributed, with a mean of 478 grams and a standard deviation of
28 grams.
The heaviest 6% of fruits weigh more than how many grams? Give your
answer to the nearest...

1/ A particular fruit's weights are normally distributed, with a
mean of 352 grams and a standard deviation of 28 grams.
If you pick 9 fruits at random, then 9% of the time, their mean
weight will be greater than how many grams?
Give your answer to the nearest gram.
2/A manufacturer knows that their items have a lengths that are
skewed right, with a mean of 7.5 inches, and standard deviation of
0.9 inches.
If 50 items are chosen...

A particular fruit's weights are normally distributed, with a
mean of 299 grams and a standard deviation of 10 grams. The
heaviest 3% of fruits weigh more than how many grams? Answer =
(Give your answer to the nearest gram.)

A particular fruit's weights are normally distributed, with a
mean of 204 grams and a standard deviation of 5 grams. The heaviest
16% of fruits weigh more than how many grams? Give your answer to
the nearest gram.

A particular fruit's weights are normally distributed, with a
mean of 760 grams and a standard deviation of 39 grams. The
heaviest 8% of fruits weigh more than how many grams? Give your
answer to the nearest gram.

A particular fruit's weights are normally distributed, with a
mean of 300 grams and a standard deviation of 7 grams.
The heaviest 15% of fruits weigh more than how many grams?
Give your answer to the nearest gram.

A particular fruit's weights are normally distributed, with a
mean of 273 grams and a standard deviation of 17 grams. The
heaviest 4% of fruits weigh more than how many grams? Give your
answer to the nearest gram.

A particular fruit's weights are normally distributed, with a
mean of 691 grams and a standard deviation of 29 grams.
The heaviest 7% of fruits weigh more than how many grams?
Give your answer to the nearest gram

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