Question

The amount of soda in a 16-ounce can is normally distributed with a mean of 16 ounces and a standard deviation of .5 ounce. What is the probability that a randomly selected can will have greater than 15 ounces and less than 16.5 ounces? Round your answers to four decimal places.

.1587 |
||

.9772 |
||

.8185 |
||

.8413 |
||

.9500 |

Answer #1

The amount of cereal dispensed into "16-ounce" boxes of
Captain Crisp cereal was normally distributed with mean
16.18 ounces and standard deviation 0.25 ounces.
a. What proportion of boxes are "underfilled"?
That is, what is the probability that the amount dispensed into a
box is less than 16 ounces? Give your answer to 4 decimal
places.
b. Find the probability that exactly 3 out of 9
randomly and independently selected boxes of cereal contain less
than 16 ounces. Give your...

The average amount of a beverage in randomly selected 16-ounce
beverage can is 16.18 ounces with a standard deviation of 0.38
ounces. If a random sample of eighty 16-ounce beverage cans are
selected, what is the probability that mean of this sample is less
than 16.1 ounces of beverage? Answer: (round to 4 decimal
places)

The average amount of a beverage in randomly selected 16-ounce
beverage can is 15.8 ounces with a standard deviation of 0.5
ounces. If a random sample of thirty-six 16-ounce beverage cans are
selected, what is the probability that the mean of this sample is
less than 15.7 ounces of beverage? Answer: (keep 4 decimal
places)

The average amount of a beverage in randomly selected 16-ounce
beverage can is 15.96 ounces with a standard deviation of 0.5
ounces. If a random sample of sixty-five 16-ounce beverage cans are
selected, what is the probability that the mean of this sample is
less than 16.05 ounces of beverage? Answer: (keep 4 decimal
places)

The average amount of a beverage in randomly selected 16-ounce
beverage can is 16.18 ounces with a standard deviation of 0.4
ounces. If a random sample of sixty-five 16-ounce beverage cans are
selected, what is the probability that the mean of this sample is
less than 16.1 ounces of beverage? Answer: (keep 4 decimal places)

A soda machine dispenses normally distributed amounts of soda
with a mean of 20 ounces and a standard deviation of 0.2 ounce. Are
you more likely to randomly select one bottle with an amount more
than 20.3 ounces or are you more likely to select a sample of eight
bottles with a mean amount more than 20.3 ounces? Explain.

he average amount of a beverage in randomly selected 16-ounce
beverage can is 16.18 ounces with a standard deviation of 0.4
ounces. If a random sample of sixty-five 16-ounce beverage cans are
selected, what is the probability that the mean of this sample is
less than 16.1 ounces of beverage? Answer: (keep 4 decimal
places)

A soda machine dispenses normally distributed amounts of soda
with a mean of 20 ounces and a standard deviation of 0.2 ounce. Are
you more likely to randomly select one bottle with more than 21.3
ounces or are you more likely to select a sample of eight bottles
with a mean amount of more than 21.3 ounces? Explain.

The weights of ice cream cartons are normally distributed with a
mean weight of 8 ounces and a standard deviation of 0.5 ounce. (a)
What is the probability that a randomly selected carton has a
weight greater than 8.12 ounces? (b) A sample of 36 cartons is
randomly selected. What is the probability that their mean weight
is greater than 8.12 ounces? (a) The probability is nothing.
(Round to four decimal places as needed.)

The foreman of a bottling plant has observed that the amount of
soda in each 30-ounce bottle is actually a normally distributed
random variable, with a mean of 30.3 ounces and a standard
deviation of 0.28 ounce. If a customer buys a carton of six
bottles, what is the probability that the mean amount of the six
bottles will be greater than 30 ounces? a. 0.9956 b. 0.8577 c.
0.1423 d. 0.0044

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