For items 1-3, please refer to the problem below: The average grade of the students in Statistics is 87 with a standard deviation of 2.15. Assume that the variable is normally distributed. 1. What is the probability that the grade of a student is greater than 90? 2. If a student is selected at random, what is the probability that the grade of the student will be below 86? 3. If a random sample of 50 students is chosen, what is the probability that the average grade is not less than 85?

Q: Suppose you have a population of adult male basketball players and you know their mean height is 190…

A: given data normal distributionμ = 190 cmσ = 7.2 cm

Q: Suppose that the population IQ scores are normally distributed with mean value 100.0 and standard…

A: For the normally distributed IQ scores, it is given that: μ=100.0 and σ=15.0. For n no. of sampled…

Q: The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation…

A: (a)   Obtain the probability that pregnancy will last 307 days or longer. The probability that…

Q: A large population has a mean of 60 and a standard deviation of 8. A sample of 50 observations is…

A: GivenMean(μ)=60standard deviation(σ)=8sample size(n)=50

Q: Suppose that you want to determine the number of people who will attend a conference this year. In…

A: Given information: The investigator wants to determine the umber of people who will attend a…

Q: 4. In a sample, 77% of adults say they prefer to get their news online. Seventeen adults are…

A: Given that n=17

Q: 4. If P(X) =, what are the possible values of X for it to be a probability distribution? А. О, 2, 3…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: the mean for test 1 is 50. and the standard deviation is 7. then the probability that a group of 49…

A: Mean(μ)=50 standard deviation(σ)=7

Q: A particular fruit's weights are normally distributed, with a mean of 582 grams and a standard…

A: Obtain the standard z-score for the random variable X equals 548. The standard z-score for the…

Q: A particular fruit's weights are normally distributed, with a mean of 702 grams and a standard…

A: Introduction: Define X as the random variable of interest here, denoting the weight of a randomly…

Q: Suppose that the distribution of the scores of students in Statistics Assignment 1 is roughly…

A: GivenMean(μ)=85standard deviation(σ)=5sample size(n)=16

Q: If the mean of a list of numbers is 16.7 and the standard deviation is 0,

A: Mean is a measure of central tendency. It is one of the most important measures to find out around…

Q: In an certain species of newt, offspring are born either green or black. Suppose that 60% of these…

A: Given Information:Sample proportion() = 60% =0.6Sample size (n) = 185

Q: Ex. 13. If the probability of a defective bolt is 0.2, find (i) mean (ii) standard deviation for the…

A: Givenp=0.2sample size(n)=400

Q: A baseball team has 31 players, 8 of whom bat left-handed. Suppose that the manager of this team is…

A: A baseball team has 31 players, 8 of whom bat left-handed. Suppose that the manager of this team is…

Q: A researcher wishes to estimate the average height of men for a certain region of the country. If…

A: Probability is the measure determine the likelihood of an event. Event is the outcome of an…

Q: 2. Assume that, among residents of a large (over 6,000) Florida subdivision, the population mean age…

A: From the given information, The mean age is 65 and standard deviation is 2 years.

Q: r a standardized psychology examination intended for psychology majors, the historical data show…

A: Given: The corresponding z score can be calculated as: The distribution will be normal as the…

Q: A population has a mean of u = 30. If 3 points are added to each score, what is the mean for the new…

A: Given :  Mean(μ)=30 and N=3

Q: High school girls average 80 text messages daily. Assume the population standard deviation is 15…

A: Given information:

Q: If the mean of the number of sales of houses is fifty-six, and the standard deviation is thirty-six,…

A: We have given, The mean number of sales of houses is x¯=56. And the standard deviation is σ=36.

Q: The average number of pounds of red meat a person consumes each year is 196 with a standard…

A: We are given,μ = 196σ = 22n = 60

Q: In a population, the mean is known to be 1.27 and the standard deviation is known to be 0.351.…

A: The population mean is 1.27; μ=1.27 The population standard deviation is 0.351;σ=0.351 The sample…

Q: 1. A box contains tickets 1, 1, 2, 2, 3. (The average of the tickets is 1.8 and the standard…

A: Given Information: There are five tickets in the box. (1, 1, 2, 2, 3) The average of the tickets is…

Q: In an certain species of newt, offspring are born either green or black. Suppose that 60% of these…

A: It is given that  p = 60% = 0.60 n = 94 X ~ Bin( n = 94, p = 0.60 )

Q: In order to compare the average heights of children in 5th grade in two different states in US., one…

A: 1) Here, the variances are considered as not equal. The standard error of the difference of two…

Q: A large normally distributed population has a mean of 502 and a standard deviation of 25. If the…

A: Given,sample size(n)=36mean(μ)=502standard deviation(σ)=25

Q: school conducted an IQ test to 32 randomly selected students. The standard deviation in the same…

A:

Q: a. What is the distribution of ¤? ¤ - N( b. For the group of 12, find the probability that the…

A: a. The mean is 160, standard deviation is 22, and sample size is 12. The distribution of x¯ follows…

Q: normal population had a mean of 70 and a standard deviation of 12. You select a random sample of 9.…

A: given data normal distributionμ = 70σ = 12n = 9 P(x¯<66) = ?

Q: Suppose a claim is made that the mean age of members of a golf club is 52 years. The population…

A: Given: μ = 52 σ = 6 n = 50 X = 56 Formula Used: Test-statistic Z = X-μσn

Q: Answer the problem and show your solution: The IQs of Grade 11 students in Pulot National High…

A: Solution-: Given: μ=98,σ=8 We find, P( score of grade 11 students is higher than 110)=?

Q: CAN SOMEONE HELP ME SOLVE THIS WORD PROBLEM?

A: It was stated that for a standardized psychology examination intended for psychology majors, the…

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

A:

Q: In order to compare the average heights of children in 5th grade in two different states in US., one…

A:

Q: Solve the problem. Assume that mountain lions' weights are normally distributed with a mean of 62.6…

A: We have given that,  X be the random variable from normal distribution with mean (μ) = 62.6 ,…

Q: The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean…

A: Given: X is the number of calories consumed. Population mean μ=2929 Population standard deviation…

Q: A professor knows that her statistics students' final exam scores have a mean of 79 and a standard…

A:

Q: Suppose 50% of the bumblebee bats are female. 25 bumblebee bats are selected at random and the…

A: Given that n =25 , p= 0.5

Q: A grocer finds that the cantaloupes in his store have weights with mean 0.7 kg and standard…

A: Given, Mean weight of cantaloupes is 700 gm. Standard deviation is 53 gm

Q: Nutritionist Nina decided to work in a gym one summer. She really wanted to use her knowledge of…

A: Solution: Let X be the age distribution of participants in the spinning classes. From the given…

Q: Jessica knows that the average profit of manufacturing plants nationwide each year is $100,000 with…

A: Given information: μ=100,000σ=16,000n=35

Q: Suppose the average amount of money that people spend on their pets per month is 47 dollars, with a…

A: From the Standard Normal table, the bottom of 30% is -0.5244. The average amount of money spent on…

Q: Find the probability that the mean weight of a sample of 25 bookbags will exceed 7 pounds.

A: Here use central limit theorem and standard normal distribution table for probability from z score