Question

The gas bills in March is normally distributed with a mean of $84, and a standard deviation of $16.

What percent of homes have a gas bills between $ 50 and $ 60?

Answer #1

Solution :

Given that,

mean = = 84

standard deviation = = 16

P ( 50 < x < 60 )

P ( 50 - 84 / 16) < ( x - / ) < ( 60 - 84 / 27)

P ( - 34 / 16 < z < - 24 / 16 )

P (-2.12 < z < -1.5)

P ( z < - 1.5 ) - P ( z < -2.12)

Using z table

= 0.0668 - 0.0170

= 0.0498

Probability = 0.0498 = 4.98%

Natural Gas bills in a certain city have mean $80.86. Assume the
bills are normally distributed with standard deviation $14.71. Find
the value that separates the lower 70% of the bills from the
rest.
Write only a number as your answer. Round to two decimal places.
Do not write any units.

A set of 1400 scores is normally distributed with a mean = 84
and standard deviation = 6.
How many students scored higher than 84?
How many students scored between 78 and 90?
How many students scored between 72 and 96?
How many students scored between 84 and 90?
How many students scored lower than 78?
How many students scored lower than 90?

1) X is normally distributed with a mean of 60 and a standard
deviation of 12.
a) Find the probability that X is less than 42
b) Find the probability that X is more than 70.
2) Weights of Yellow Labradors are normally distributed with
a mean of 55 pounds and a standard
deviation of 6.2 pounds. What proportion of Yellow Labradors
weigh between 50 and 60 pounds?

Electricity bills in a certain city have mean $87.57. Assume the
bills are normally distributed with standard deviation $14.97. A
sample of 80 bills was selected for an adult. Find the 53
percentile for the sample mean. Write only a number as your answer.
Round to two decimal places (for example: 42.81). Do not write any
units.

The monthly untily bills in a city are normally distributed
with a mean of $100 with standard deviation of $15. find the
probability that a randomly selected utility bill is less than $65?
between $80 and $90? and more than $100?

The scores on a math test are normally distributed. If the mean
is 72 and the standard deviation is 6, what is the range of 98% of
the scores?
54-84
54-90
60-84
66-84

A random variable is normally distributed with a mean of μ = 70
and a standard deviation of σ = 10
What is the probability the random variable will assume a value
between 50 and 90? (Round your answer to three decimal places.)
What is the probability the random variable will assume a value
between 60 and 80? (Round your answer to three decimal places.)

Men's heights are normally distributed with mean of 69.3 in and
standard deviation of 2.4 in. Women's heights are normally
distributed with mean of 63.8 in and standard deviation of 2.6 in.
The U.S. Navy requires that fighter pilots have heights between 62
in and 78 in.
a) Find the percentage of women meeting the height requirement.
__________ percent (round to the nearest tenth)
b) Find the percentage of men meeting the height requirement.
__________ percent (round to the nearest...

Men's heights are normally distributed with mean of 69.3 in and
standard deviation of 2.4 in.
Women's heights are normally distributed with mean of 63.8 in
and standard deviation of 2.6 in.
The U.S. Air Force requires that fighter pilots have heights
between 64 in and 77 in.
a) Find the percentage of women meeting the height requirement.
__________ percent (round to the nearest tenth)
b) Find the percentage of men meeting the height requirement.
__________ percent (round to the...

Phone bills for residents of Shangri-La are normally
distributed, with a mean of 98.75 gold coins and a standard
deviation of 10.21 gold coins. Random samples of 48 phone bills are
drawn from the population and the mean of each sample is
determined. Find the standard error of the mean of the
indicated sampling distribution

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 3 minutes ago

asked 4 minutes ago

asked 4 minutes ago

asked 7 minutes ago

asked 12 minutes ago

asked 13 minutes ago

asked 18 minutes ago

asked 33 minutes ago

asked 50 minutes ago

asked 54 minutes ago

asked 59 minutes ago

asked 1 hour ago