.If a random variable X has the gamma distribution with α = 2 and β = 1, find P(1.8 < X < 2.4).

Q: 1. Let X be a random variable that represents the wait time, in minutes, at a bank. Assume that X…

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Q: is a normal random variable with mean 20 and stadard deviation 50. Find the probability that 15

A: Answer the population mean = 20The population standard deviation = 50Using formula:P [A&lt;Z&lt;B] =…

Q: A small ferry runs every half hour from one side of a large river to the other. The number of cars X…

A: The objective of the question is to define the random variable M, which represents the money…

Q: Shirley Ferguson, an insurance broker, believes that for a particular contact the probability of…

A: Given: Probability of success (p) = 0.4 PX=x=0.4        x = 10.6        x =0 X ~ Bernoulli 0.4)

Q: Suppose we have a normal distribution with µ = 10

A: Let X be a random variable which follows a normal distribution with mean μ and standard deviation…

Q: The random variable Y have a geometric distribution with a mean of 5.The probability that P(Y=4) is

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Q: Suppose Y is a random variable with a normal distribution and mean (μ) equal to 100, and standard…

A: GivenA random variable Y ~Normal(100,15)Mean(μ)=100standard deviation(σ)=15

Q: The probability that a person who exercises and eats well has a heart attack is predicted to be 0.5…

A: We know that if; Y~Binomial(n,p)Then the expected value of Y is;E(Y)=npand the standard deviation of…

Q: A random sample of n = 25 scores is obtained from a normal population with µ = 30 and σ = 6. What is…

A: The sample size is 25, population mean is 30 and population standard deviation is 6. The probability…

Q: The lifetime risk of developing pancreatic cancer is about one in 78 (1.28%). Let X = the number of…

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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: Suppose a certain canned good company has an average of at most 4% canned good weighing less than…

A: Given that Sample size =150    A random sample of 150 such packages the proportion weighing less…

Q: Suppose the time it takes for guests to wait for an elevator at the lobby of a certair office…

A: concepts and reasonuniform distribution is a continuous probability distribution.it is defined…

Q: 2. A random variable follows a normal distribution with mean 12k and variance o?. The probability…

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

Q: Service time for a customer coming through a checkout counter in a retail store is a random variable…

A: Given Information: Means μ1=μ2=0.5 Standard deviations σ1=σ2=1.0 Sample sizes n1=11, n2=19 Required:…

Q: A random variable Z is normally distributed with mean and variance are 0 and 1 respectively.…

A: Solution

Q: normal distribution has a mean of u= 28 and o= 4. If one score is randomly selected from the…

A: Given that  A normal distribution has a mean of u= 28 and o= 4.  By using standard normal…

Q: Suppose that a die rolled twice. What are the possible values that the following random variables…

A: Here a die is rolled twice. So possible outcomes are  36 which are {(1,1), (1,2), (1,3), (1,4),…

Q: Let Y be a normally distributed random variable with mean = 0 and variance a = 1.Use the method of…

A: Let's start by finding the cumulative distribution function (CDF) of U. We want to find P(U ≤ u),…

Q: Q6- Assume the probability that a maple tree at age 5 grows less than 140 cm is equal to 0.2. If the…

A: Given Data: Let X represent the height of the maple tree P(x&lt;140)=0.2 σ=81=9

Q: uppose that unknown to a geneticist, there are 6 out of 12 genes that play a significant role in…

A: Dear Student, As per the guidelines, i can asnwer only one question(or 3 subparts of it) . Kindly…

Q: Suppose that the random variable X represents the length of a punched part in meters. Let Y be the…

A: Expected value:For a discrete random variable X, the expected value is the mean of the distribution.…

Q: A random variable follows a normal distribution with mean 12k and variance σ 2 . The probability…

A: Given that : A random variable follows a normal distribution with mean 12k and variance σ2. The…

Q: X is normally distributed with ?=14 and ?= 4.   Find the probability that x is between 1 and 18.

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Q: 2. Suppose taht the time, in hours, taken to repair a heat pump is a random variable X ahving a…

A: Solution:

Q: A random sample of size 225 is taken from a population with a mean of 10 and variance 4. Find the…

A: Given n=225 Mean=10 Variance=4

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: A random variable that is normally distributed with μ = 210 and σ = 20. What is the probability that…

A: Mean = 210 Standard deviation = 20 Sample size = 4

Q: Q1. In the manufacturing process of optical storage disks there is a problem of contamination. The…

A: Given Information Average number of particles per centimeter λ= 2.1 Area of disk = 10 cm2 Average…

Q: 1. Service time for a customer coming through a checkout counter in a retail store is a random…

A: Given that,The customers in the first line are The customers in the second line are The distribution…

Q: Suppose that the probability that a patient admitted in a hospital is diagnosed with a certain type…

A: The conditions for a random variable to follow binomial probability are as follows:The number of…

Q: A random variable follows a binomial distribution with a probability of success equal to 0.68. For a…

A: