What point of views are utilized in Mercy House? What tenses? How did those POVs and tenses benefit and/or detriment the telling of the story? Did you ever find the narrator to be unreliable? If so, w
1. Assume the random variable x is normally distributed with mean μ=90 and standard deviation σ=4. Find the indicated probability.P(x<88
P(x<88)= (Round to four decimal places as needed.)
2.Assume the random variable x is normally distributed with mean μ=88 and standard deviation σ=4. Find the indicated probability.P(76<x<80)
P(76<x<80)=(Round to four decimal places as needed.)
3.In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 68.2 inches and a standard deviation of 3.0 inches. A study participant is randomly selected. Complete parts (a) through (d) below
(a) Find the probability that a study participant has a height that is less than 67 inches.The probability that the study participant selected at random is less than 67 inches tall is
4. The monthly utility bills in a city are normally distributed, with a mean of 100 and a standard deviation of 15. Find the probability that a randomly selected utility bill is (a) less than $, (b) between $ and $, and (c) more than $.
Question content area bottom
Part 1
(a) The probability that a randomly selected utility bill is less than $ i
5. The amounts of time per workout an athlete uses a stairclimber are normally distributed, with a mean of minutes and a standard deviation of minutes. Find the probability that a randomly selected athlete uses a stairclimber for (a) less than minutes, (b) between and minutes, and (c) more than minutes.
Question content area bottom
Part 1
(a) The probability that a randomly selected athlete uses a stairclimber for less than minutes is
enter your response here.
(Round to four decimal places as needed.)
The graphs are attached in a file 8
6.Use the normal distribution of SAT critical reading scores for which the mean is 503 and the standard deviation is 112. Assume the variable x is normally distributed.(
a)What percent of the SAT verbal scores are less than 675?
(b)If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 550?
a) Approximately enter your response here% of the SAT verbal scores are less than 675.(Round to
two decimal places as needed.)
7. A population has a mean μ=71 and a standard deviation σ=21. Find the mean and standard deviation of a sampling distribution of sample means with sample size n=49
.Part 1μx=enter your response here (Simplify your answer.)
8.The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual.For a sample of n=65, find the probability of a sample mean being greater than 226 if μ=225 and σ=5.8.
1For a sample of n=65, the probability of a sample mean being greater than 226 if μ=225 and σ=5.8 is enter your response here.
9. The heights of fully grown trees of a specific species are normally distributed, with a mean of 52.0 feet and a standard deviation of 5.00 feet. Random samples of size 15 are drawn from the population. Use the central limit theorem to find the mean and standard error of the sampling distribution. Then sketch a graph of the sampling distribution.
The mean of the sampling distribution is
μx
=
enter your response here
.
The standard error of the sampling distribution is
σx
=
enter your response here
.
(Round to two decimal places as needed.)
10. The weights of ice cream cartons are normally distributed with a mean weight of
10 ounces and a standard deviation of
0.5 ounce.
(a) What is the probability that a randomly selected carton has a weight greater than
10.18 ounces?
(b) A sample of
25 cartons is randomly selected. What is the probability that their mean weight is greater than
10.18 ounces?
The probability is
enter your response here
