Question 2 An online retailer has limited the maximum number of hand-sanitizers per order to 6. The probability distribution of the size of a random order of hand-sanitizers, X, is as follows: 2 3 5 0.16 0.37 0.13 1 Xi P(X = x₁)| 0.13 Compute the expected value: E[X] = 4 0.2 (Round the answer to 2 decimals) 6 0.01 Total 1

Q: points of the population proportion of 15% is closest to (Use normal approximation): replacement.…

A: Given P=15%=0.15 1-p=0.85

Q: Let X be a discrete random variable with PMF Px(X) = { (0.5, x=2) (0.3, x=5) (0.2, x=6) (0,…

A: Let X be a discrete random variable with PMF Px(X) , and CDF F(X), the CDF is defined as F(X) = P(X…

Q: The discrete random variable Xhas the probability distribution given by: 7 9 12 13 15 P(X=x) u/2…

A: The discrete random variable x has the probability distribution function given by, X=x 7 9 12 13…

Q: According to a study, the length of pregnancy is normally distributed with a mean of 269 days and a…

A: GivenMean(μ)=269standard deviation(σ)=14.7

Q: Assume that the probability of a being born with Genetic Condition B is �=1/6. A study looks at a…

A: the probability of a being born with Genetic Condition B is (p)=1/6sample size(n)=532

Q: We randomly select four cards from a standard deck of 52 cards and count X, the number of Diamonds…

A:

Q: Find the probability, P(Z > -0.77) for a standard normal variable Z. 20 Find the probability,…

A:

Q: John plays a roulette 5 times; each time betting on red. The probability of red is 18/38=9/19. Let X…

A: For a random variable X~B(n,p), the pmf is P(X=x)=nCxpxqn-x ; x=0,1,2...n,         p=probability…

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

A: Given Mean=0 Standard deviations=1

Q: 4P2] Let Z be a standard normal variable. Find the following probabilities: 3. P (Z > 2.15) = 4. P…

A:

Q: 7% of US adults have blood type O-negative. Suppose we take a random sample of 50 US a X represent…

A: Note: Please repost 2nd question as i can author only 1 question as per my policy. Given…

Q: Nlustration 17.3. The normal rate of infection of a certain dis ease in animals is known to be 40%.…

A:

Q: Suppose the random variable X has the following probability distribution. x:0, 2, 4 P(x=x)=0.2 0.1…

A: From the provided information The probability distribution table is as follow: X 0 2 4…

Q: If a random variable X has the gamma distribution with a = 2 and ẞ= 1, find P(1.7<X<2.3).

A: P(1.7&lt;x&lt;2.3)=16.24%Explanation:Given: X has a gamma distribution withα=2β=1 Probability…

Q: For number 5: Based on a hamster breeder's experience, the number of live pups in a litter of a…

A: Given prob. distribution is X=x 3 4 5 6 7 8 9 P(X=x) 0.04 0.10   0.31 0.22 0.05 0.02

Q: Assume that the probability of a being born with Genetic Condition B is �=19/30. A study looks at a…

A: probability of a being born with Genetic Condition B (p)=sample size(n)=970

Q: Let X be a continuous random variable with uniform distribution, and with A = 24, B = 99. What is…

A:

Q: 1) Assume the following joint probability distribution: P(x,y) 1 X 3 5 сл 2 0.1 0 0.1 y 5 0.3 0.1…

A: First we calculate the conditional distribution of x/y= 5  We find P(x/y=5) for every value of x.…

Q: Assume that the probability of a being born with Genetic Condition B is p=5/12. A study looks at a…

A: P(born with genetic condition) = p = sample size (n) = 584x = no. of volunteers with genetic…

Q: Round all of your final answers to four decimal places if necessary. The probability distribution of…

A:

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: Assume that the probability of a being born with Genetic Condition B is �=1/6. A study looks at a…

A: From the provided information,Probability of a being born with Genetic Condition B is p =1/6Sample…

Q: Consider a random variable Y that follows an exponential distribution with a rate parameter of 0.5.…

A: Answer: The cumulative distribution function (CDF) for an exponential distribution with rate…

Q: (G) Determine the proportion of the distribution that iscontained within the interval (u - 30, µ +…

A: (G) Empirical rule (68 – 95 – 99.7 rule): For a bell shaped distribution (normal) the empirical rule…

Q: The table below gives the probability distribution for a discrete random variable X. X 0 1 2 3 4 5 p…

A: X012345p0.290.16?0.200.140.05

Q: Suppose X is a normal random variable, and E(X) = 2. Find the probability that X will be within 2…

A: Suppose X is a normal random variable, and E(X) = 2.

Q: Assume that the random variable X is normally distributed with mean μ = 120 and standard deviation o…

A: Mean==120Standard deviation==13

Q: Let X be a random variable with probability distribution as follows: 3 f (x) | 1 1 1 3 Find the…

A:

Q: The daily consumption of electric power is a random variable X having a gamma distribution with…

A: Given: Alpha = 1 Beta = 2 Consider X be the random variable that is following gamma distribution.

Q: For the experiment above, let X denote the number of diamonds that are drawn. For this random…

A:

Q: The World Bank records the prevalence of HIV in countries around the world. According to their data,…

A:

Q: born with Genetic Condition B is �=19/20. A study looks at a random sample of 901 volunteers. Find…

A: To find the most likely number of the 901 volunteers to have Genetic Condition B, we can multiply…

Q: Let X be a continuous random variable with uniform distribution, and with A = 36, B = 81. What is…

A: GivenA random variable X~U(36,81)f(x)=181-36f(x)=145    ;   36≤x≤81

Q: A random variable X is normally distributed with a mean of ( 18 ) and a variance of ( 18.49 ) . The…

A: From the provided information, Mean (µ) = 18 Variance (σ2) = 18.49 Standard deviation (σ) = √18.49 =…

Q: For a random variable with the given probability distribution. 2. 3 4. fix) 0.41 0.37 0.16 0.05 0.01…

A: Given data,   P(0≤x≤2)-(P(X≥3))=?

Q: Consider a drug testing company that provides a test for marijuana usage. Among 250 tested subjects,…

A: Given, among 250 tested subjects, results from 28 subjects were wrong. i.e. n=250 and X=28…

Q: Consider the probability distribution shown for the random variable x found below. Complete part a…

A: We want to find σ2= ?

Q: [4P1] Let Z be a standard normal variable. Find the following probabilities: P (Z -1.23) =

A: Find probability for given data by using z score table..

Q: Consider the joint probability distribution of X and Y: x = 0 x = 1 P(y) _y = 0 y = 1 P(x) 0.5 0.2…

A:

Q: 1. A random variable x has the probability distribution as follows: 2 4 P(x) 1/15 k/15 k/5 4/15 k/15…

A:

Q: The length of adult King Cobra snakes is normally distributed with µ = 22 feet and σ = 2.5 feet.…

A:

Q: distribution given by: 1 2 3 4 P(X = x) 3v 2v 0.4 V a. Determine the following probability: P(X=1) =…

A:

Q: A Poisson distribution with  λ =7.4 λ =7.4 and x=5 Use the probability distribution identified…

A: given data poisson distributionλ = 7.4x = 5for poisson distributionP(x=X) = e-λλxx!

Q: [5P2A] Let Z be a standard normal variable. Find the following probabilities: 3. P (Z > 2.05) = 4.…

A: We have to find given probability..