A sample of n = 20 observations is drawn from a normal population with µ = 980 and o = 240. Find each of the following: A. P(X > 1065) Probability = B. P(X < 899) Probability = C. P(X > 920) Probability =

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A: The expected value for the mean of .

Q: Suppose X is a binomial random variable with n=100 and p=D0.3. Estimate P(X=40) by using the normal…

A: The normal distribution can be used as an approximation to the binomial distribution, under certain…

Q: If all the possible random samples withn 36 scores are selected from a normal population with u- 80…

A: sample mean=E(X¯)=E∑i=1nXi/n=∑i=1nμn=nμn=μsample mean=μ=80

Q: a. A sample of n = 25 scores is selected from a population with μ = 62 and σ = 12.  If the sample…

A: Given Information ' n = 25 μ = 62 and σ = 12 Sample mean M = 56

Q: In a region the energy consumption for a family per month averages 1145 kWh and one standard…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Q: Given the discrete uniform population shown to the right, find the probability that a random sample…

A: Given  The discrete uniform population to the right f(x)   =   1/3  x=4,12,20                0…

Q: If the random variable X is normal with mean 2 and standard deviation 2, n what is P(X² – 4X < 1). -

A:

Q: A sample of n= 16 observations is drawn from a normal population with u = 1000 and o=200. Calculate…

A: Given data,n=16μ=1000σ=200P(X&gt;1050)=?

Q: If z is a standard normal variable, find the probability when z is less than 1.98

A: Given that, Z score = 1.98 Left tailed

Q: Given the normally distributed random variable x with μ =25 and P(x ≤ 10) = .0778, find σ.

A: Given,mean(μ)=25P(X≤10)=0.0778

Q: Suppose the heights of Australian adult males are normally distributed with a population mean of 174…

A:

Q: A study of the annual growth of certain cactus showed that, 81 of them, selected at random in a…

A: From the provided information, Population standard deviation (σ) = 4.1 mm Margin of error (E) = 1.1…

Q: Given that 40% of employed persons are in favour of the implementation of t h e flexi-week, in a…

A:

Q: (d) Compute the standard deviation of the random variable X. %3D hits

A: Let X denotes the number of hits.

Q: A normally distributed population has mean 57,800 and standard deviation 750.  a) The probability…

A: Given,mean(μ)=57,800standard deviation(σ)=750

Q: Suppose a company produces lightbulbs with a mean lifetime of 1000 hours and a standard devlation of…

A: Given Data: Let X represent the random variable   X~ Normal (1000, 502)

Q: Let a random variable X has an exponential distribution with a mean of 10. (a) Compute P(-10-10 or…

A: a. From the given information, The random variable X has an exponential distribution with mean of…

Q: let Y be a random variable that can either be equal to 0 to 1. let p(Y=1)=p,what is E(|Y-p|)?

A:

Q: Suppose you have a chi-square random variable, Y, with 10 degrees of freedom. What is the smallest…

A: Given: Y~χ102   PY&gt;k&lt;0.05  ................(1)

Q: Find E(X), Var(X), and the standard deviation of X, where X is the random variable whose probability…

A: According to given data: The value of E(X): EX=149+249+319EX=49+89+39EX=159EX=1.66

Q: If a random variable X has the gamma distribution with a=2 and B=1, find P(1.6<X<2.5).

A:

Q: Given a random variable X having a normal distribution with population mean=40 and standard…

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

Q: Suppose you have a chi-square random variable, Y, with 20 degrees of freedom. What is the smallest…

A: Solution: Let Y be the chi-square random variable with 10 degrees of freedom

Q: Let X and Y be two independent random variables, each of which follow a normal distribution with the…

A: Given information: X~N+μ, σ Y~N-μ, σ

Q: Solve the following items. 1. The weight of goats at a farm is normally distributed with a mean of…

A: 1) Mean = 60 kg , SD = 10 kg      Weight on truck = 650 kg , Number of goats = 10      Total weight…

Q: In a certain city, the daily consumption of water (in million liters) approximately follows a gamma…

A:

Q: For a normal population with µ = 40 and σ = 15, find each of the following: p (X > 45) p…

A:

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 that two independent random samples of sizes 11 and 16 were taken from normal populations…

A: Normal Distribution: A continuous random variable X is said to follow Normal distribution with…

Q: The body temperatures of adults have a mean of 98.6° F and a standard deviation of 0.60° F. If 36…

A: Given that, Mean = 98.6 Standard deviation = 0.60 Sample size, n = 36

Q: According to Chebyshev's theorem, the probability that any random variable assumes a value within 3…

A: Given that the random variable X has mean μ and variance σ2. Consider,…

Q: ormal population with µ = 40 and σ = 15, find each of the following: d. What score (x) would cut…

A: Given that  Normal distribution with Mean (μ) = 40 Standard deviation (σ) = 15   We know that…

Q: Find E[X], and Var[X], when "X" is a normal random variable with pa- rameter µ and o? respectively.

A: Normal Distribution: A continuous random variable X is said to follow Normal distribution with…

Q: on average, research shows that people gain one to three pounds over the winter months. Let x denote…

A: Given : research shows that people gain one to three pounds over the winter months   Let x denote…

Q: Let a random variable X has an exponential distribution with a mean of 10. (a) Compute P(-10-10 or…

A: The mean of the exponential distribution is 10.

Q: The 10th percentile implies that the probability is 0.1.…

A: Since 10th percentile means 0.1, find the value from the table which is very close to 0.1. According…

Q: The body temperatures of adults have a mean of 98.6° F and a standard deviation of 0.71° F. If 30…

A: From the provided information, Mean (µ) = 98.6 Standard deviation (σ) = 0.71

Q: At a certain high school, the distribution of backpack weight is approximately normal with mean 19.7…

A: Introduction: A sample of 5 backpacks is randomly selected, each of the selected backpacks is…

Q: The random sample X is normally distributed with mean 50 and standard deviation 18. If n=324,…

A: SolutionLet X be the random variable normally distributed with mean 50 and standard deviation 18.Let…

Q: A sample of n = 16 scores is selected from a population with μ = 100 and σ = 32. If the sample mean…

A: From the provided information,

Q: Let X be a random variable with mean 4 and standard deviation o. What is E[X2]?

A:

Q: Suppose a population has a mean of 450 and a variance of 900. If a random sample of size 100 is…

A:

Q: Consider a random sample from the distribution of Binomial, Poisson, Exponential, Gamma, and normal.…

A: The MSE of statistic is obtained as given below: Let  T4 =∑X (n + 1). Let Xi~Bn,p, the p.m.f of Xi…

Q: For a population with o = 12, how large a sample is necessary to have a standard error that is less…

A:

Q: Assume that blood pressure readings are normally distributed with a mean of 122 and a standard…

A: Note: Please repost other question only i can author only one question as per my policy. Given…

Q: To test H0​: μ=50 versus H1​: μ<50​, a random sample of size n=23 is obtained from a population…

A: Given dataHo: μ=50Ha:μ&lt;50n=23x=46.6s=11.8

Q: e that the heights of women are normally distributed with a mean of 63.6 inches and a standard…

A: Mean =63.6Standard deviation = 2.5Sample size = 100

Q: Suppose x is a normally distributed random variable with mean u =0 and standard deviation o = 1.…

A: We'll use formula here and using table we will find the value here . and after that convert that…

Q: If X has the Beta distribution with parameters a and ß, what is the probability that X equals .50

A: Given that X follows Beta(α, β)