Question

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?

Answer #1

µ = 5.938

σ = 0.078

we need to calculate probability for ,

P ( 5.848 < x <
6.028 )

=P( (5.848-5.938)/0.078 < (X-µ)/σ < (6.028-5.938)/0.078
)

P ( -1.154 < Z <
1.154 )

= P ( Z < 1.154 ) - P ( Z
< -1.154 ) =
0.8757 - 0.1243 =
0.7514

Probability of rejecting coins = 1 - 0.7514 **=
0.2486**

expected number of rejected coins = 260*0.2486 = 64.626 ≈
**65 coins (answer)**

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 5.191g and a standard deviation of 0.068 g. A
vending machine is configured to accept those coins with weights
between 5.121 g and 5.261 g. If 260 different coins are inserted
into the vending machine, what is the expected number rejected
coins.

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 5.629 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 5.395 g and a standard deviation of 0.058g.A vending
machine is configured to accept those coins with weights between
5.325g and 5.465 g
If 290 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 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

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?

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...

Assume that the weights of quarters are normally distributed
with a mean of 5.70g and a standard deviation of .075g. A vending
machine will only accept coins weighing between 5.25g and 5.75g.
Approximate, what percentage of legal quarters will be
accepted?
74.75%
90.50%
25.25%
90.88%

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 3 minutes ago

asked 5 minutes ago

asked 6 minutes ago

asked 9 minutes ago

asked 22 minutes ago

asked 25 minutes ago

asked 32 minutes ago

asked 35 minutes ago

asked 39 minutes ago

asked 39 minutes ago

asked 47 minutes ago

asked 50 minutes ago