(2) If a random variable has a normal distribution with mean 77.5 and standard deviation 12.4 find the probabilities that it will take on a value a. less than 55.1; b. greater than 84.3;

Q: A population has a standard deviation of 25 and a mean of 300. Given a random sample of size 100,…

A:

Q: In a large population of college-educated adults, the mean IQ is 112 with standard deviation 25.…

A:

Q: A sample of size 15 will be drawn from a population with mean 125 and standard deviation 28. a.…

A: a) sample size = 15 < 30 And it is not mention about the distribution of sample. So, It is…

Q: 5) If X has a normal distribution with mean 1 and variance 4, the P(X²-2X<8)=?

A: Given data: If X has a normal distribution  mean=  1 and variance = 4 To find; P(X²-2X&lt;8)=?

Q: Assume the returns of a stock follow a normal distribution with a mean return of 18% and a standard…

A:

Q: Suppose that the breaking strength of a rope (in pounds) is normally distributed, with a mean of 100…

A: Suppose that the breaking strength of a rope (in pounds) is normally distributed, with a mean of 100…

Q: Find the probability that the value of an item drawn at random from a normal distributiontion with…

A:

Q: Salaries at a large corporation are normally distributed with a mean of $45,000 and a standard…

A: The normal distribution shows the probability value using the standard score or raw score. It is…

Q: For a random variable that is normally distributed, with mean of 80 and standard deviation of 10,…

A:

Q: The manager of a computer help desk operation has collected enough data to conclude that the…

A: Given, Mean = μ = 8.21 Standard deviation = σ = 2.14 Sample size = n = 40 The x is normally…

Q: An experiment needs a 1.41cm thick aluminum cylinder. Suppose that the thickness of a cylinder has a…

A:

Q: 2. A sample of size 20 will be drawn from a population with mean 6 and standard deviation 3. a. Is…

A: Given Datan = 20mean = 6standard Deviation = 3

Q: If a random variable X has the normal distribution with mean 9 and standard deviation 2, about what…

A: Given data, mean=9 sd=2 P(X&lt;5)=?

Q: 1. The mean weight of 5-year-old children is 39.5 pounds, and the standard deviation is 3.2 pounds.…

A: Given that  X~N(μ= 39.5 , σ= 3.2 ) μ= 39.5 , σ= 3.2 , n=52

Q: Given a normal distribution (X) with mean = 100 and standard deviation (σ) = 10,  w hat is the…

A: X follows a Normal distribution with mean = 100 and S.D = 10 Then z=(x-mean)/SD = (x-100)/10…

Q: 2.) A ski gondola in Vail, Colorado that carries skiers up a mountain bears a plaque stating that…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: 1. Given a normal distribution with a standard deviation of 14, what is the mean if 40% of the…

A: Solution: See the hand written solution

Q: In a recent​ year, the scores for the reading portion of a test were normally​ distributed, with a…

A:

Q: if X is normally distributed random variable with a mean of 80 and a standard deviation of 12, then…

A: GivenMean(μ)=80standard deviation(σ)=12

Q: A manufacturer produces a commodity where the length of the commodity has approximately normal…

A: Mean = 17.4 Standard deviation = 1.2 Sample size = 48

Q: If a random variable has a normal distribution with mean 77.5 and standard deviation 12.4 find the…

A: From the provided information, Mean (µ) = 77.5 Standard deviation (σ) = 12.4 X~N (77.5, 12.4)

Q: If X is a normally distributed random variable with mean -61 and standard deviation 22, find the…

A: Solution: From the given information, X follows normal distribution with a mean µ=61 and a standard…

Q: a population has a normal distribution with a mean of 50 and a stadnard deviation of 10. if a random…

A: Given,mean(μ)=50standard deviation(σ)=10sample size(n)=9

Q: Given a normal distribution (X) with mean = 100 and standard deviation (σ) = 10,  w hat is the…

A: We have to find given probability..

Q: Given a normal distribution (X) with mean = 100 and standard deviation (σ) = 10, w hat is the…

A: Let X be the random variable and it follows the normal distribution with mean μ and standard…

Q: 1. In a biomedical research study, it was determined that the survival time, in weeks, of an animal…

A:

Q: 2. Given a random variable X having a normal distribution with -40 and o-5, find the probability…

A:

Q: Which of the following probability values corresponds to values of a normal random variable within…

A: The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical…

Q: 21 The life of a drill bit has a mean of 16 hours and a standard deviation of 2-6 hours. Assuming a…

A: Given, Mean μ = 16Standard deviation σ = 2.6

Q: For a normal random variable with mean 16.5 and standard deviation 0.8, find a point of the…

A: From the provided information, Mean (µ) = 16.5 Standard deviation (σ) = 0.8 Let X be a random…

Q: 1. The scores on a national achievement exam are normally distributed with a mean of 500 and a…

A:

Q: 4) The police response to emergency calls x, is normally distributed with mean of 10 minutes and a…

A: From the provided information, Population mean (µ) = 10 Population standard deviation (σ) = 2 Let X…

Q: A company produces lightbulbs whose life follows a normal distribution, with a mean of 1,200 hours…

A: Given: A company produces lightbulbs whose life follows a normal distribution, with a mean of 1,200…

Q: Suppose the random variable Z follows a standard normal distribution. Then the value of…

A:

Q: A population of Gala apples has a mean m=0.40 lbs and a standard deviation s=0.16 lbs. For a sample…

A: Solution: Let X be the variable. From the given information, m=0.40, s=0.16 and n=20.

Q: 1. If a normal distribution has a population mean of 50, what is the expected value of the…

A: Given that, Normal distribution is used.

Q: Given the population of men has normally distributed weights with a mean of 172 lb and a standard…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: Suppose that the breaking strength of a rope (in pounds) is normally distributed, with a mean of 100…

A:

Q: Suppose x is a normally distributed random variable with a mean of 12 and a standard deviation of 3.…

A: Given,      Meanμ=12      Standard deviationσ=3

Q: Given a normal distribution (X) with mean = 100 and standard deviation (σ) = 10,  w hat is the…

A: Given data,μ=100σ=10P(X&lt;81)=?

Q: Suppose a random variable X is best described by a normal distribution with =60 and et=14 Find the…

A: Given  Mean (mu) = 60 Variance(σ2)= 144 Standard deviation(σ)=√144= 12 Raw score(x) = 96

Q: 21. The life of a drill bit has a mean of 16 hours and a standard deviation of 2-6 hours. Assuming a…

A:

Q: (b)The daily withdrawals from an ATM located at a service station is normally distributed with a…

A: x=5000σ=800

Q: Given a normal distribution (X) with mean = 100 and standard deviation (σ) = 10,  w hat is the…

A:

Q: A. The average cost per household of owning a brand new car is 5,000. Suppose that we randomly…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 11. If the scores for an 1Q Test have a mean of 100 and a standard deviation of 15, find the…

A: We have to find given probability.

Q: For a normal random variable with mean 19,500 and standard deviation 400, find a point of the…

A:

Q: 1. The average number of milligrams (mg) of cholesterol in a cup of a certain brand of ice cream is…

A: Given,mean(μ)=680standard deviation(σ)=40

Q: 1. The breaking strength of a rivet has a mean value of 10,000 psi and a standard deviation of 500…

A: Given: μ=10,000σ=500 a. The probability that the sample mean breaking strength for a random sample…

Q: 1. The average salary of senior high school teachers is P 21,200. Assume a normal distribution with…

A: (1) Let X denote the salary of high school teachers follows normal distribution. That is, The…