Question

Suppose that a crate is filled with 100 apples. The weight of the crate is 0.5kg. The weight of an apple is Gaussian distributed with a mean of 0.2kg and standard deviation 0.03kg. Let X be the weight of the crate full of apples.

(a) Find the probability density function of X

(b) What is the probability that X is more than 22kg?

(c) What is the probability that X is exactly 22kg?

Answer #1

The mean weight for crates of apples are normally distributed
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pounds. Considering 40 crates of apples, what is the probability
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The diameters of apples from an orchard in Washington are
normally distributed. The mean is 3.2 inches with a standard
deviation of 1.1 inches. Assume x is a random variable that
represents the diameter of a Washington apple.
a. Is this random variable x an example of a discrete or
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b. What is the probability that the diameter of a single apple
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1.9 inches or less?
3.6 inches or more?
Between 1.9 and...

3. A grocery store manager is told by the wholesaler that the
apples in a large shipment have a mean weight of 6 ounces and a
standard deviation of 1 ounce. The manager randomly selects 100
apples.
a. assuming the wholesaler’s claim is true, find the probability
that the mean weight of the sample is more than 5.9 ounces
b. the manager plans to return the shipment if the mean weight
is less than 5.75 ounces. Assuming the wholesaler’s claim...

Q:
You sample 36 apples from your farm’s harvest of over 200,000
apples. The mean weight of the sample is 112 grams (with a 40-gram
sample standard deviation). What is the probability that the mean
weight of all 200,000 apples is within 100 and 124 grams?
NEED HELP ! THANKS

Oliver’s Organic Food Store is about to purchase a large
shipment of apples
from an orchard. Oliver is picky about the size of the apples, and
wants the
mean weight among the apples he is about to purchase to be very
close to
150 grams.
When the shipment arrives, Oliver will randomly select n = 9 apples
and
compute the sample mean weight among them. He has decided that if
the
sample mean weight is less than 145 grams or...

Let X be normallyh distributed with a mean of 100 and standard
deviation of 25 a)what is the probability that X will be at most
120 b)suppose a sample of 30 students were selected,what is the
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Suppose that the weight of seedless watermelons is normally
distributed with mean 6.6 kg. and standard deviation 1.4 kg. Let X
be the weight of a randomly selected seedless watermelon. Round all
answers to 4 decimal places where possible.
What is the probability that a randomly selected watermelon will
weigh more than 6 kg?
What is the probability that a randomly selected seedless
watermelon will weigh between 6.2 and 7.1 kg?
The 90th percentile for the weight of seedless watermelons...

Victoria wants to estimate the mean weight of apples in her
orchard. She'll sample m apples and make a 95% confidence interval
for the mean weight. She is willing to use o = 15 grams as an
estimate of the standard deviation, and she wants the margin of
error to be no more than 5 grams.
Which of these is the smallest approximate samole soze
required to obtain the desired margin of error?
Choose 1 answer;
A. 5 apples
B....

Suppose that the weight of an newborn fawn is Uniformly
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randomly selected. Round answers to 4 decimal places when possible.
a. The mean of this distribution is b. The standard deviation is c.
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Suppose that the weight of seedless watermelons is normally
distributed with mean 6 kg. and standard deviation 1.6 kg. Let X be
the weight of a randomly selected seedless watermelon. Round all
answers to 4 decimal places where possible.
a. What is the distribution of X? X ~ N(,)
b. What is the median seedless watermelon
weight? kg.
c. What is the Z-score for a seedless watermelon weighing 6.6
kg?
d. What is the probability that a randomly selected watermelon will...

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