Question

1) For a normal distribution curve with a mean of 7 and a standard deviation of 4, which of the following ranges of the variable will define an area under the curve corresponding to a probability of approximately 34%?

a) from 7 to 11 b)from –1 to 15 c) from 5 to 9 d) from 3 to 11

2) The average age of vehicles registered in the United States is 96 months. Assume the population is normally distributed with a standard deviation of 15 months. Find the probability that the mean age of a sample of 36 vehicles is between 98 and 100 months?

a) 15.7% b)44.5% c)6.4% d)28.8%

Answer #1

The average age of a vehicle registered in the United States is
8 years, or 96 months. If a random sample of 36 vehicles is
selected, find the probability that the mean of their age is
between 98 and 100 months? Assume the standard deviation for the
population is 15. Label the normal curve and shade in the correct
area desired

(A) The weight of cans of vegetables is normally distributed
with a mean of 1000 grams and a standard deviation of 50 grams.
What is the probability that the sample mean of weight for 10
randomly selected cans is more than 1040? (B) The age of vehicles
registered in a certain European country is normally distributed
with a mean of 98 months and a standard deviation of 15 months.
What is the probability that the sample mean of age for...

1.
the area under the normal distribution curve that lies within one
standard deviation of the mean is approxiamtely ____%.
2. for a normal distribution curve with a mean of 10 and a
standard deviation of 5, what is the range of the variable thay
defines the area under the curve correaponding to a probability of
approximately 68%?
true or false:
3. a probability can be greater than one, but not equal to
zero.
4. quartiles are used in box...

(12.17) The Normal distribution with mean ? ? = 24.9 and
standard deviation ? ? = 6.4 is a good description of the total
score on the Medical College Admission Test (MCAT). This is a
continuous probability model for the score of a randomly chosen
student.
Use Table A to find the probability of the event "the student
chosen has a score of 35 or higher". P P ("the student chosen has a
score of 35 or higher") ( ±...

a.) Assume that x has a normal distribution with the
specified mean and standard deviation. Find the indicated
probability. (Round your answer to four decimal places.)
μ = 4.4; σ = 2.2
P(3 ≤ x ≤ 6) =
b.) Consider a normal distribution with mean 34 and standard
deviation 2. What is the probability a value selected at random
from this distribution is greater than 34? (Round your answer to
two decimal places.)
c.) Assume that x has a normal...

assume the random variable X is normally distributed with mean
50 in standard deviation =7 compute the probability, be sure to
draw a normal curve with area corresponding to the probability
shaded
P(54 less than eaual to X less than equal to 66) =

The Standard Normal Distribution with a mean of 0 and a standard
deviation of 1 has been used to calculate areas under the normal
distribution curve. Originally, quality control analysts were
content to confine all data within +/- three
standard deviations from the mean. The Ford Motor Company in the
mid 1980s decided to try to confine all data within +/-
four standard deviations from the mean. Six Sigma,
the newest quality venture, is trying to confine all data within...

Assume the random variable X is normally distributed with mean
μ=50 and standard deviation σ=7.
Compute the probability. Be sure to draw a normal curve with the
area corresponding to the probability shaded.
What is P(56 ≤ X ≤ 66) ?

a. Draw a normal curve on which the mean (90 minutes) and the
standard deviation (7 minutes) are correctly located.
b. What percent of students used more than 90 minutes but less than
100 minutes to complete the exam? Show your work.
c. 10% of students used more than how many minutes to complete the
exam? Show your work

Assume that x has a normal distribution with the
specified mean and standard deviation. Find the indicated
probability. (Enter a number. Round your answer to four decimal
places.)
μ = 8; σ = 2
P(7 ≤ x ≤ 11) =
Assume that x has a normal distribution with the
specified mean and standard deviation. Find the indicated
probability. (Enter a number. Round your answer to four decimal
places.)
μ = 20; σ = 3.4
P(x ≥ 30) =

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 11 minutes ago

asked 16 minutes ago

asked 26 minutes ago

asked 30 minutes ago

asked 40 minutes ago

asked 48 minutes ago

asked 54 minutes ago

asked 57 minutes ago

asked 58 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago