(7) If the probability of a student graduating is 0.95, find the probability that more than 472 students students graduating among 500 students.   (8) If the probability of a student receiving financial aid is 0.72, find the mean and variance of the number of students receiving financial aid among 40000 students.   (9) There are 300 questions on a multiple choice exam. For each question there are 5 choices to choose from, and there is only one correct choice for each question. Find the mean (expected value) and variance for the number of questions you answer correctly by making random guess.

Q: Fifty five percent of the students in a class of 135 of planning to go to graduate school, Find…

A: Answer: From the given data, Fifty five percent of the students are planning to go to graduate…

Q: A professor wants to determine how the GPAs of his students in his statistics class differ from the…

A: The objective of the question is to identify the appropriate statistical test that the professor…

Q: Here are 6 celebrities with some of the highest net worths (in millions of dollars) in a recent…

A: Approach to solving the question:  Detailed explanation: Examples: Key references:

Q: What is the variance of a set of 6 numbers: 1, 2, 3, 4, 5, 6?

A: The variance is calculated as the average of the squared differences of each number from the mean.

Q: According to the Department of Education, 60% of college students enjoy taking Statistics. Suppose…

A: Let  X be the number of students who enjoy taking Statistics in a sample of 200. Given n = 200…

Q: About 74​% of all female heart transplant patients will survive for at least 3 years. Eighty female…

A: Given,sample size (n)=80sample proportion(p^)=0.74mean(μ)=p^=0.74standard…

Q: The variance of the scores on a skill evaluation test is 123,201 with a mean of 1528 points.   If…

A: The population mean is,  The variance of the scores on a skill evaluation test is, The standard…

Q: The probability that the sample proportion surviving for at least 3 years will be less than 67% isO…

A: Given P=0.73 q=0.27 n=80

Q: When a data set has one or two values that are much higher than all of the others which of our 3…

A: As Mean is found by adding all the values and dividing by the number of values So if one or two…

Q: A researcher studying stress is interested in the blood pressure measurements of chief executive…

A: 1) The researcher is testing whether mean is different from 136. Hence, the null hypothesis and…

Q: When I am taking a Simple Random Sample, what do I do if say I take 23 samples from a range of 93…

A: The random number table is used to obtain the sample random sample which provides each member of the…

Q: Here are 6 celebrities with some of the highest net worths​ (in millions of​ dollars) in a recent​…

A: The number of observations is n = 6.

Q: A student takes a multiple choice exam with 10 questions, each with four possible selections for the…

A: Given that, A student takes a multiple choice exam with 10 questions, each with four possible…

Q: Twelve percent of U.S. employees who are late for work blame oversleeping. You randomly select four…

A:

Q: When solving a problem related to one sample and the confidence interval of variance. Which table…

A:

Q: Suppose when a data set with 32 values is treated as a "population", the value of the (population)…

A: Given that  Population Variance = 145.2  n = 32

Q: find the mean, variance, and standard deviation   Twenty-one percent of U.S. employees who are late…

A: The value of mean is 0.84, which is obtained as follows:

Q: The mean height of male college students in a large city is 68 inches and the standard deviation is…

A: Solution

Q: Suppose that we know that 33.8% of the people born in the United States between 1936 and 1951 have…

A: The given situation follows binomial distribution. The proportion of people born in United States…

Q: Suppose a professor wants to know if students in her statistics class have a good grasp of basic…

A: Given: Sample size n=6 Sample mean x¯=∑i=1nXin=62+92+75+68+83+956=79.167 Sample standard deviation…

Q: Would it be unusual for the sample mean to be less than 2 ?

A: Would it be unusual for the sample mean to be less than 2 ?

Q: About 70​% of all female heart transplant patients will survive for at least 3 years. Sixty female…

A: Given n=60 Population proportion=0.70 p=0.66

Q: The variance of the scores on a skill evaluation test is 123,201 with a mean of 1528 points. If 343…

A:

Q: About 73​% of all female heart transplant patients will survive for at least 3 years. Ninety female…

A:

Q: study found that 1.21% of Social Security recipients are too young to vote. If 800 Social Security…

A: Given that  A study found that 1.21% of Social Security recipients are too young to vote. P = 0.0121…

Q: If a set of exam scores forms a symmetrical distribution, what can you conclude about the students’…

A: The set of exam scores forms a symmetrical distribution.

Q: A final exam in Science 150  has a mean of 80 with a standard deviation of 8. If 25 students are…

A: Given: μ = 80 σ = 8 n = 25

Q: The owner of a chain of mini-markets has two stores, Store 1 and Store 2, in one city. She recently…

A: a)Consider   is the population mean value of the differences of the sales of stores 1 and 2.That is,…

Q: Here are 6 celebrities with some of the highest net worths (in millions of dollars) in a recent…

A: Sure, let's break down each calculation and what it tells us about the net worths:1. Range: The…

Q: Here are 6 celebrities with some of the highest net worths (in millions of dollars) in a recent…

A: The range is the difference between the highest and lowest values in the dataset. In this case, the…

Q: The mathematics achievemnet test cscore of 750 students were found to have a mean and variance of…

A: It is given that  Mean, μ = 600 Variance, σ2 = 4900 Standard deviation, σ = 70 Sample size, n = 750…