Question

An average scanned image occupies 1.7 megabytes of memory with a standard deviation of 0.7 megabytes. If you plan to publish 76 images on your website, use the Central Limit Theorem to approximate the probability that their total size is between 125 and 130 megabytes. Answer to the nearest 0.001.

Probability =

Answer #1

An average scanned image occupies 0.8 megabytes of memory with
a
standard deviation of 0.3 megabytes. If you plan to publish 64
images on your web site, what
is the probability that their total size is between 50 megabytes
and 60 megabytes?

2. The human body temperature has an average of 98.6° F and
standard deviation of 0.62° F. [10pts] a. State the Central Limit
Theorem. b. Find the probability that 1 randomly selected person
has less than 98.2° F. c. If 106 people are randomly selected, find
the probability that the average temperature for the sample is
98.2° F or lower. d. Given the results, what can you conclude about
this event?

he distribution of male weight in the United States has a
standard deviation of roughly s =
25 lbs. The average weight μ varies from state to state. Suppose
you randomly select 100 males
In Texas and ask their weights, and you compute the average
weight ?# 2222 of the n = 100 males.
a) Assuming that the standard deviation of weight in Texas is 25
lbs, what does the Central
Limit Theorem tell you the (approximate) distribution of ?#...

The population has mean μ=29 and standard deviation σ=9.
This distribution is shown with the black dotted line.
We are asked for the mean and standard deviation of the
sampling distribution for a sample of size 34. The Central Limit
Theorem states that the sample mean of a sample of size n is
normally distributed with mean μx¯=μ and σx¯=σn√.
In our case, we have μ=29, σ=9, and n=34. So,
μx¯=29
and
σx¯=934‾‾‾√=1.5
This distribution is shown with the red...

A certain mutual fund invests in both U.S. and foreign markets.
Let x be a random variable that represents the monthly
percentage return for the fund. Assume x has mean
μ = 1.7% and standard deviation σ = 0.7%.
(a) The fund has over 125 stocks that combine together to give
the overall monthly percentage return x. We can consider
the monthly return of the stocks in the fund to be a sample from
the population of monthly returns of...

15. Men average 5’10” in height, with a standard deviation of
2”. If we take x-bars from groups of 10 men, what would be the
average and standard deviation of
x-bar?
a. 70, 0.2
b. 70, 0.63
c. 22.1, 0.2
d. 22.1, 0.63
28. An invoice has 7 different defects that it can contain. 400
invoices are checked and 80 defects are found. The DPU
is
a. 80 / 400
b. 80 / (400 x 7)
c. 400 / 80...

Assume the average life-span of those born in the U.S. is 78.2
years with a standard deviation of 16 years. The distribution is
not normal (it is skewed left). The good people at Live-Longer-USA
(fictitious) claim that their regiment of acorns and exercise
results in longer life. So far, 40 people on this program have died
and the mean age-of-death was 84.9 years. (a) Calculate the
probability that a random sample of 40 people from the general
population would have...

The average height of an adult American woman is 64 inches.
Assume that σ= 3.1 inches. A sample of 39 adult American women was
taken. What is the probability that the x¯ was less than 65 inches
for this sample?
A. Can’t work this; normality of x¯ not
satisfied
B. 0.6265
C. 0.9780
D. 0.0220
The number of eggs that a female house fly lays during her
lifetime is normally distributed with mean 840 and standard
deviation 96. Random samples...

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