Question

6. Assume that the weights of coins are normally distributed with a mean of 5.67 g and a standard deviation 0.070 g. A vending machine will only accept coins weighing between 5.48 g and 5.82 g. What percentage of legal quarters will be rejected by the machine? Give your answer in the percentage format (using % symbol), rounded to two decimal places.

7. Assume that values of variable x are normally distributed, with the mean μ = 16.2 and the standard deviation σ = 1.9. Find the probability that x is greater than 14.1. Round your answer to four decimal places.

8. Use the standard normal distribution to find the indicated probability. Find P(−1.10 < z < −0.36). Round your answer to four decimal places.

9. Central Limit Theorem. Car repair bills are normally distributed with a mean of 270 dollars and a standard deviation of 20 dollars. If 64 of these repair bills are randomly selected, find the probability that they have an average cost of more than 276 dollars. Show your answer in the percentage form (using % symbol), rounded to two decimal places.

Answer #1

Find the indicated probability: Assume that the weights of
candies are normally distributed with a mean of 5.67 g and a
standard deviation 0.070 g. A vending machine will only accept
candies that are weighing between 5.48 g and 5.82 g. What
percentage of candies will be rejected by the machine? Give your
answer in the percentage format (using % symbol), rounded to two
decimal places. HINT: Percentage = probability = area under the
curve; Percentage rejected = 100% –...

Suppose certain coins have weights that are normally distributed
with a mean of 5.271 g and a standard deviation of 0.079 g. A
vending machine is configured to accept those coins with weights
between 5.181 g and 5.361 g.
a. If 300 different coins are inserted into the vending
machine, what is the expected number of rejected coins?
The expected number of rejected coins is __________. (Round to
the nearest integer.)
b. If 300 different coins are inserted into the...

Suppose certain coins have weights that are normally distributed
with a mean of 5.159 g and a standard deviation of 0.079 g. A
vending machine is configured to accept those coins with weights
between 5.029 g and 5.289 g. If 270 different coins are inserted
into the vending machine, what is the probability that the mean
falls between the limits of 5.029 g and 5.289 g?

3. Weights of quarters are normally distributed with a mean of
5.67 g and a standard deviation of 0.06 g. Some vending machines
are designed so that you can adjust the weights of quarters that
are accepted. If many counterfeit coins are found, you can narrow
the range of acceptable weights with the effect that most
counterfeit coins are rejected along with some legitimate
quarters.
3. a) If you adjust your vending machines to accept
weights between 5.60 g and 5.74...

3. Weights of quarters are normally distributed with a mean of
5.67 g and a standard deviation of 0.06 g. Some vending machines
are designed so that you can adjust the weights of quarters that
are accepted. If many counterfeit coins are found, you can narrow
the range of acceptable weights with the effect that most
counterfeit coins are rejected along with some legitimate
quarters.
3. a) If you adjust your vending machines to accept
weights between 5.60 g and 5.74...

Suppose certain coins have weights that are normally distributed
with a mean of 5.854 g and a standard deviation of 0.071 g. A
vending machine is configured to accept those coins with weights
between 5.744 g and 5.964 g.
a. If 280 different coins are inserted into the
vending machine, what is the expected number of rejected coins?

Suppose certain coins have weights that are normally distributed
with a mean of 5.938 g and a standard deviation of 0.078 g. A
vending machine is configured to accept those coins with weights
between 5.848 g and 6.028 g.
If 260 different coins are inserted into the vending machine,
what is the expected number of rejected coins?

Suppose certain coins have weights that are normally distributed
with a mean of 5.629 g and a standard deviation of 0.056 g. A
vending machine is configured to accept those coins with weights
between 5.559 g and 5.699 g.
a. If 280 different coins are inserted into the vending
machine, what is the expected number of rejected coins?

Suppose certain coins have weights that are normally distributed
with a mean of 5.517 g and a standard deviation of 0.055 g. A
vending machine is configured to accept those coins with weights
between 5.427 g and 5.607 g
a. If 260 different coins are inserted into the vending
machine, what is the expected number of rejected
coins?
The expected number of rejected coins is? (Round to the
nearest integer.)

Suppose certain coins have weights that are normally distributed
with a mean of 5.414 g and a standard deviation of 0.069 g. A
vending machine is configured to accept those coins with weights
between 5.294 g and 5.534 g. a. If 280 different coins are inserted
into the vending machine, what is the expected number of rejected
coins? The expected number of rejected coins is ---Round to the
nearest integer

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