Question

Suppose the numbers of a particular type of bacteria in samples of 1 millilitre (mL) of drinking water tend to be approximately normally distributed, with a mean of 81 and a standard deviation of 9. What is the probability that a given 1-mL sample will contain more than 102 bacteria? (Round your answer to four decimal places.)

Answer #1

7. A normal random variable x has mean μ = 1.7
and standard deviation σ = 0.17. Find the probabilities of
these X-values. (Round your answers to four decimal
places.)
(a) 1.00 < X <
1.60
(b) X > 1.39
(c) 1.25 < X < 1.50
8. Suppose the numbers of a particular type of bacteria in
samples of 1 millilitre (mL) of drinking water tend to be
approximately normally distributed, with a mean of 81 and a
standard deviation of 8. What...

2.Suppose the life of a particular brand of calculator battery
is approximately normally distributed with a mean of 75 hours and a
standard deviation of 9 hours. Complete parts a through c.
a. What is the probability that a single battery randomly
selected from the population will have a life between 65 and
85hours?
P(65≤ overbar x≤85)=
(Round to four decimal places as needed.)

Suppose the life of a particular brand of calculator battery is
approximately normally distributed with a mean of 75 hours and a
standard deviation of 9 hours. Complete parts a through c.
a. What is the probability that a single battery randomly
selected from the population will have a life between 70 and 80
hours? P(70 < or = x overbar < or = 80) = 0.4246 (Round
to four decimal places as needed.)
b. What is the probability that...

Suppose a random sample of n = 16 observations is selected from
a population that is normally distributed with mean equal to 102
and standard deviation equal to 10.
a) Give the mean and the standard deviation of the sampling
distribution of the sample mean x.
mean =
standard deviation =
b) Find the probability that x exceeds 106. (Round your
answer to four decimal places.)
c) Find the probability that the sample mean deviates from the
population mean μ...

Suppose the life of a particular brand of calculator battery is
approximately normally distributed with a mean of
80 hours and a standard deviation of 11 hours. Complete parts a
through c.
a. What is the probability that a single battery randomly selected
from the population will have a life between
and hours?
75
85
P(75 ≤ x ≤ 85) = (Round to four decimal places as needed.)
b. What is the probability that randomly sampled batteries from the
population...

(A) The amount of tea leaves in a can from a
particular production line is normally distributed with μ (mean) =
110 grams and σ (Standard deviation) = 5 grams.
(i) What is the probability that a
randomly selected can will contain less than 105
grams of tea
leaves?
(ii) If a sample of 9 cans is selected, what is
the probability that the sample mean of the
content “tea leaves” to be more than 115
grams?
(B) In a...

1. Suppose a population is known to be normally distributed with
a mean, μ, equal to 116 and a standard deviation, σ, equal to 14.
Approximately what percent of the population would be between 102
and 144?
2. Suppose a population is known to be normally distributed with
a mean, μ, equal to 116 and a standard deviation, σ, equal to 14.
Approximately what percent of the population would be between 102
and 130?
3. Suppose a population is known...

A particular variable measured on the US population is
approximately normally distributed with a mean of 124 and a
standard deviation of 20. Consider the sampling distribution of the
sample mean for samples of size 1.
Enter answers rounded to three decimal places.
According to the empirical rule, in 95 percent of samples the
SAMPLE MEAN will be between
the lower-bound of ___ and the upper-bound of ___.

At a computer manufacturing company, the actual size
of a particular type of computer
chips is normally distributed with a mean of 2 centimeters and a
standard deviation of 0.2
centimeter. A random sample of 14 computer chips is taken.
a. What is the probability that the sample mean will be between
1.99 and 2.01
centimeters?
b. What is the probability that the sample mean will be below 1.95
centimeters?
c. Above what value do 2.5% of the sample means...

1. The weights of 9 year old male children are normally
distributed population with a mean of 73 pounds and a standard
deviation of 12 pounds. Determine the probability that a random
sample of 21 such children has an average less than 72
pounds.
Round to four decimal places.
2. A normally distributed population has a mean of 80 and a
standard deviation of 17. Determine the probability that a random
sample of size 26 has an average greater than...

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