QUESTION 8 If X be a normally distributed random variable with variance of 25 such that P(X > 20) = 0.0778, then find the mean. O 13.74 O 12.67 12.90 O 14.81

Q: If Y1, Y2, ... , Yn denote a random sample from the normal distribution with unknown mean u and…

A:

Q: Ch.6. "A carpet manufacturing company is comparing the tensile strengths of two different types of…

A: Given information:  Sample size:            nA =16                  &           nB = 9 Sample…

Q: 4. The continuous random variable X has a lognormal distribution if the random variable Y = In(X)…

A: import numpy as np sample = np.array([5.75, 5.73, 5.57, 5.67, 5.42, 6.02, 5.85, 5.39, 5.50, 5.37,…

Q: Use the Normal approximation to find the probability that the sample proportion of heads is (a)…

A:

Q: Given a normal distribution with mean 30 and standard deviation 5, the value of x that has a 40.52%…

A: Q4) Given data, Mean=30 sd=5 P(X<x)=40.52% P(X<x)=0.4052 P(Z<-0.24)=0.4052 z=-0.24

Q: A random sample of 10 subjects have weights with a standard deviation of 9.7246 kg. What is the…

A: We have given that  Sample size=n=10 Sample standard deviation=9.7246

Q: Q5: Let X be a random variable following a normal distribution with mean 14 and variance 4.…

A: Given, Mean μ = 14Variance σ2 = 4Standard deviation σ = 2 P(X-2 > c) = 0.95

Q: Let X be a random variable with a normal distribution. The mean is given by (mu) = 85 and (sigma) =…

A: We have to find given probability.

Q: For a random variable X with standard deviation 5, Variance of 2x + 4 is Question 4Select one: a.…

A: Answer is in the explanation box.Explanation:

Q: Waiting time for all passengers waiting for the arrival for an Amtrak train follows a uniform…

A: Given,A random variable X~U(10,46)with mean=28standard deviation=10.4

Q: ss MS MS df df between within Between F-value = Total = Within Between Within 14.20387 4. = 10…

A:

Q: Let X be a normal random variable. If the mean and standard deviation of X are 45 and 5,…

A: Given, Let X be a normal random variable.mean of X(μ) = 45standard deviation of X(σ) = 5and X = 55

Q: Assume thAt scores on a standardized test are known to follow a bell shaped distribution with a mean…

A: L

Q: Suppose that a random variable X follows a normal distribution with mean 10 and variance 25. Let Z…

A: From the provided information,

Q: (a) Can a binomial random variable X have a mean = 7 and the variance = 11. Why or why not? %3D

A: The probability distribution function of binomial random variable x is given by P(x)=n!x!…

Q: QUESTION 13 Random variable Expected valueu, variance 2 , and standard deviation o a) For the…

A: a) The following information is provided. X=x P(X=x) 0 116 1 416 2 616 3 416 4 116

Q: You run an F test (var.test) on your data and get a p value of 0.001. That means that: O both of…

A: Null hypothesis: H0: .The sample have same degrees of variance. Alternative hypothesis: H1: .The…

Q: Exercise 1.3. A normally distributed random variable has a mean of 449: a. If a score of 325 has a…

A:

Q: ariance of a Binomial Distribution with number of trials as 12 and probability of success being 1/3…

A: Variance of a Binomial Distribution with number of trials as 12 and probability of success being 1/3…

Q: 48. In a certain school, the probabilities of the number of students who are reported tardy are…

A: Note : - As per our policy we can answer only one question at a time, please make a new requests for…

Q: If X is normal with mean p and variance 4 where P(X >7.5) = 0.7734 Then p (mean) = 27 18 O -0.75 O 9…

A: We have to find population mean.

Q: A random sample of 10 subjects have weights with a standard deviation of 12.2153 kg. What is the…

A:

Q: Consider the following data related to the discrete random variable X: x 7 82 49 P(x)…

A: Given, Probability distribution of random variable X. We have to find out the variance of X, i.e…

Q: Suppose that Z is a normal random variable. Fine P(Z>1.91).

A: Solution:- from given information Suppose that Z is a normal random variable

Q: Let Y be a random variable with mean zero and variance o². What do we know about the quantity 1 (Yi…

A: Given that,  Y = 1n∑i=1nYi  Now,  1n∑i=1nYi - Y = 1n∑i=1nYi - 1n×nY = Y - Y = 0

Q: The sum of the squared deviation scores is SS = 20 for a sample of n = 6 scores. What is the…

A: The variance of the sample can be calculated as:

Q: Suppose the random variable X follows a normal distribution with mean 8 and variance 25. Thus the…

A: Given, Mean μ = 8Variance σ2 = 25Standard deviation σ = Variance = 25 = 5

Q: Calculate the mean, μ. The mean is (Round to two decimal places as needed.) Calculate the variance,…

A: It is given that the probabilities are 0.4, 0.3, 0.1 and 0.2 respectively that 0, 1, 2 and 3 power…

Q: A normally distributed random variable X with variance o=400 and P(X > 130) = 0.6554. Then the mean…

A: Let X be a continuous random variable and is normally​ distributed with a mean of μ and a standard…

Q: Question [5] The number of calories in a salad on the lunch menu is normally distributed with mean =…

A: Given data,Mean μ=100Variance σ2=16sd σ=4

Q: Let x be a random variable that represents the average daily temperature (in degrees Fahrenheit) in…

A: i)  Column I represents the z-intervals for the normal distribution, X~N75, 8 according to the…

Q: Question 9. Suppose that W, X, and Y are independent normal random variables, each with mean u= 0…

A:

Q: robabilities. Use Table B (Z-table) to find the probabilities listed here. In each instance, sketch…

A: Use Table B (Z-table) to find the probabilities.

Q: Assume the random variable X is normally distributed with mean u = 50 and standard deviation o= 7.…

A: GivenMean(μ)=50standard deviation(σ)=7

Q: Suppose that the probabilities are 0.3, 0.4, 0.1, and 0.2, respectively, that 0, 1, 2, or 3 power…

A: According to the given information in this question We need to find mean and variance

Q: Suppose the random variable X had a population mean u=20 and a population standard deviation o=9. If…

A: Given that: X is normally Distributed with mean µ = 20.0 and standard deviation σ = 9.0 By using…

Q: Suppose the random variable X has a population mean of u=20 and a population standard deviation o=9.…

A: Given Data Population Mean,μ = 20 Population Standard Deviation,σ = 9 sample size…

Q: Listed below are systolic blood pressure measurements (mm Hg) taken from the right and left arms of…

A: Hypothesis to be tested: H0​: μd = 0 H1​: μd ≠ 0 Here, difference d is defined as the measurement…

Q: Xis a normal random variable having mean 12 and variance 11. What is the probability that Xlies…

A: Let mean=μ=12, variance=σ2=11

Q: The normal random variable X has mean 4 and variance 1.22. Find the probability hat: * * X < 2.5 X…

A: Given that.   X~N( μ , ?)   μ=4 , ?=1.22   Z-score =( x - μ )/?

Q: 4. Assume that the life of laptop brand X is normally distributed. It was found that the average…

A: As per company guidelines I solved only first question .thank you  Given X~μμ,σAverage μ= 5 year…

Q: Which value for x will result in the greatest relative frequency given discrete random variable X,…

A: Correct answer is (D) x=0 Reason:

Q: For a normally distributed random variable, the population mean is 4.32 and population standard…

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.