Suppose that Xhas a normal distribution, Find E[ekx].

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a standard…

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Q: Given µ=70.5 and o=4.6 of normal distribution, find а. р(65 80) d. p(x < 65)

A: Note: according to our guidelines we can answer only first three subparts

Q: About w% of the area under the curve of the standard normal distribution is between z=-1.302 and…

A: standard normal curveX~N(0,1)μ=0σ=1we have to find out the p(-1.302&lt;Z&lt;1.302)=?

Q: Suppose X is a non-standard normal variable, with a mean of 193, and std deviation of 11 (i.e.…

A: Given: X~N(193,11) z=0.01 The value of X is obtained as below:…

Q: What is the z-score for an exam mark of 80

A: Given that μ = 71 and σ = 6 And we have to find the z score for an exam mark of 80.

Q: Find z so that 90% of the standard normal curve is between -z and z.  Choose the closest answer.

A: Solution: Let

Q: x = 7203.191, s = 543.5400, n = After normal probability plot diagnostic, norm = 30.

A: We have given that,  Sample mean (x̄) = 7203.191 , standard deviation (s) = 543.5400 and sample size…

Q: Let X follow a normal distribution with mean 5.3 and unknown standard deviation. If P(X < 11.6) =…

A: From the given information, let X follows a normal distribution with mean of 5.3 and standard…

Q: How are different chi-square distributions identified?

A: There are different types of chi square distribution tests.Tests of goodness of fit- This test is…

Q: Let x be a random variable that represents the level of glucose in the blood (milligrams per…

A:

Q: What z-score is equal to z0.05? Draw a normal curve as part of your work.

A: Givenz0.05=

Q: Assume that adults have IQ scores that are normally distributed with μ=38 and a standard deviation…

A:

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a standard…

A: The provided information are: μ=100σ=15 X=IQ scores of adults X~N(μ=100,σ=15) to calculate the…

Q: Suppose X is a non-standard normal variable, with a mean of 120, and std deviation of 9 (i.e.…

A:

Q: e gas mileage of a certain vehicle make has a normal distribution such that N(25,3). Find the gas…

A: N [25,3]The population mean = 25The population standard deviation = 3

Q: Assume that IQ scores are normally distributed with μ = 100 and σ = 15 What percent of IQ scores…

A: The normal distribution is the most useful theoretical distribution for continuous variables.  For…

Q: Let X be a variable with normal distribution with mean ? = 36.8 ℃ and standard deviation ? = 0.4 ℃.…

A: We want to find probability of temperature reaches more than 40° c

Q: Assume that a randomly selected subject is given a bone density test. Those test scores are normally…

A: Given, Mean = 0 Standard deviation = 1   The objective is to find the probability that a given score…

Q: Let X represent the weight in pounds of a king salmon caught at the mouth of certain river and…

A: Given problem Given that   Let X represent the weight in pounds of a king salmon caught at the…

Q: Assume that x has a normal distribution with mean =4 and standard deviation q=2. Find (3<x<6)

A: Given   x has a normal distribution  mean μ=4  standard deviation σ=2 Find p(3&lt;x&lt;6)=?

Q: assume that X is normally distributed with a mean 1550 and standard deviation of 75. find the…

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Q: The number of minutes that a battery lasts in use on a certain brand's cordless drill follows a…

A: Given Data: Let X represent the random variable   X~ Normal (135, 8.4)

Q: For a recent English exam, use the Normal model N(73, 9.2) to find the proportion of scores under…

A: From the provided information. Mean (x) = 73 And standard deviation (s) = 9.2 Let Y be a random…

Q: Derive the MGF of Cauchy’s distribution.

A: The pdf of Cauchy distribution is, f(x)=1π(1+x2) ;-∞≤x≤∞

Q: Suppose that x is normally distributed with a mean of 20 and a standard deviation of 15. What is P(x…

A: given data, normal distribution, μ=20σ=15p(X≥55.40)=?

Q: make a normal curve for this  p= (x/n) (100)   = (17/19) (100)  = 89.47

A: The following information is provided in the question n = 19 p = 0.8947 We know, When X follows…

Q: Assume that X is normally distributed with a mean of 12 and a standard deviation of 4. Determine…

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Q: 7. Find the area under the standard normal curve between (-1.35) and the mean?

A: For standard normal curve the Mean is 0 and standard deviation is 1.   Find the area between -1.35…

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=100and a standard…

A: From the provided information, Mean (µ) = 100 Standard deviation (σ) = 20 Let X be a random variable…

Q: Assume that ex has a normal distribution with a specify mean and standard deviation mean =18…

A: Obtain the standard z-score for the random variable X equals 30. The standard z-score for the…

Q: A distribution is given as X~U (2,10). What is the 75th percentile? What is the 40th percentile?…

A: It is given that the X follows Uniform distribution with a as 2 and b as 10. X ~ U (2, 10).

Q: Total plasma volume is important in determining the required plasma component in blood replacement…

A: (b)   Identify the conditions that are necessary for the calculations.   The correct option is…

Q: Suppose X is a non-standard normal variable, with a mean of 139, and std deviation of 15 (i.e.…

A: The mean and the standard deviations are 139 and 15, respectively.