approximate 0.954 confidence interval for u, the mean of the gamma distribution. Hint: Use the random variable (X-43)/(432/25)/2 = 5X/23- 10. %3!

Q: Consider a normally distribr deviation of 10. Find P(90<

A: mean =85 standard deviation =10 to find P(90&lt;X&lt;100)

Q: X is a binomially distributed random variable with n= 10 and p= 0.25 Find the mean and variance…

A: Answer: From the given data, X follows binomial distribution, sample size (n) = 10 P = 0.25  and q =…

Q: Make a normal probability plot of the residuals and discuss its appearance. Inspect the residual…

A: In a simple linear regression model, the residual plot gives us the graphical…

Q: The random variable X has a uniform distribution with values between 11 and 21. What is the mean…

A:

Q: Find the value of the standard normal random variable given P(z > #) = 0.2073. (Use a table or…

A: The given random variable is a standard normal random variable. The objective is to find out the…

Q: The temperature of heated water is in a coffeemaker is a continuous random variable that follows a…

A:

Q: Determine the Binomial distribution for which the mean is 4 and variance 3 and find its mode.

A:

Q: The net weight of a can of salmon is a random variable with a mean of 6.07 ounces and a standard…

A:

Q: Suppose you have a distribution, X, with mean = 15 and standard deviation = 6. Define a new random…

A: It is given that  Mean of X, E(X) = 15 Standard deviation of X, SD(X) = 6 Variance of X, Var(X) = 62…

Q: person catches a cold during the cold and flu season is 0.4Assume that 10 people are chosen at…

A: This is the case of binomial, as there are only two possible outcomes which are independent and…

Q: Suppose that the random variable X  has a normal distribution with mean 0 and variance 800.  What is…

A: given the random variable X follows normal distribution mean(μ) =0variance =800we know the formula…

Q: Let X be a binomial distribution with n = 30 and p = .6 then the variance is

A: The variable of interest is x.

Q: Let X be a random variable representing the number of times that you have to roll two dice until you…

A: Here, the given context follows negative binomial distribution with k = 10 and p = 118 (probability…

Q: Suppose a random sample of exponential random variables X1, ..., Xn is taken. Find the meanand…

A: Step 1:The sample mean, denoted by ˉXˉ, of a random sample of exponential random variables…

Q: P(x) 0.645 1. 0.297 0.052 0.005 0.001 0.000 2345

A: We have to use following formulae , Standard deviation : σ = ∑( x - μ)2p(x) Where , μ is mean μ =…

Q: X is the Binomial Random Variable which counts the number of students who passed an exam. If the…

A: Given n=81 P=0.85

Q: Let ? be a continuous random variable with Uniform distribution having mean 1 and variance 4/3.…

A:

Q: The random variable X has a normal distribution with a variance of 16 and an unknown mean. If the…

A: Given Data: X is a random variable   Variance (X)=16   X~ Normal (μ, 16) P(x&gt;65)=0.025

Q: The distance the tires can run until wear- out (X) is a normally distributed random variable with a…

A: Answer: From the given data, X : The distance the tires can run until wear- out X is normally…

Q: Let the random variable X follow a normal distribution with a mean of 18 and a standard deviation of…

A:

Q: Suppose that asthma affects 1 in every 20 children in a population. You take an SRS of 250 children…

A: Let, p= getting affected by asthma =120=0.05 n= sample size= 250 X = number of affected children.…

Q: Consider a random variable X that follows a uniform distribution with a= 3 and b = 8 Find the…

A: Answer: From the given data, A random variable X follows uniform distribution with parameters a = 3…

Q: Explain why P(X = 2) = P(X = 3) in a binomial distribution where n = 5 and p = 0.5.

A: We have given the following statement about the binomial distribution.

Q: X is a binomial random variable with n= 20 and p= 0.46 Find the mean and variance for X?

A: Answer: Using the given data, X follows binomial distribution with n = 20 and p = 0.46 X ~ Binomial…

Q: The probability that a z-score will be between -1.4 and -1.04 is?

A: The objective of this question is to find the probability that a z-score will fall between -1.4 and…

Q: Determine the binomial distribution for which the mean is 4 and variance 3 and find its mode.

A:

Q: The random variable X has a uniform distribution with values between 15 and 25. What is the mean…

A: X follows Uniform distribution (15, 25)

Q: f X is a binomial random variable, where there are 196 trials, and p = 0.252 find the standard…

A: Given that  X is a binomial random variable. Number of trails (n) = 196 p=0.252   We know that  q=…

Q: Find the mean the of the probability distribution of the random variable if P(X) = x-3/15 for X= 7,8…

A: Formula : μ = E(x) = Σx * p(x)

Q: The random variable X has a uniform distribution with values between 13 and 21. What is the mean?…

A: Given,A random variable X~U(a=13 , b=21)f(x)=1b-a; a≤x≤bf(x)=121-13f(x)=18  ;  13≤x≤21

Q: A sample of final exam scores is normally distributed with a mean equal to 20 and a variance equal…

A: Given that a sample of final exam scores is normally distributed with mean, and variance, .

Q: died a third CPU and found that its speed is a continuous random variable that follows a normal…

A: P(X&gt;3)=1-Pz&lt;3-3.60.8=1-Pz&lt;-0.75=1-0.2266=0.7734