Question

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.

Find *P*_{43}, which is the score separating the
bottom 43% from the top 57%.

*P*_{43} =

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.

Answer #1

B) Here we need to find

So

Hence

Using z table we get such that

So

C) Here we need to find x such that

Using z table we get

So

Hence

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 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....

A particular fruit's weights are normally distributed, with a
mean of 451 grams and a standard deviation of 39 grams.
If you pick 14 fruits at random, then 18% of the time, their
mean weight will be greater than how many grams? 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

A particular fruit's weights are normally distributed, with a
mean of 740 grams and a standard deviation of 19 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 686 grams and a standard deviation of 24 grams.
The heaviest 18% of fruits weigh more than how many grams?
Give your answer to the nearest gram.

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