2. Suppose that X has a hypergeometric distribution with N= 2,000, K= 800, and n= 200. Find the probability P(X<70) based on the corresponding hypergeometric distribution and approximate normal distribution. Is the normal approximation reasonable?

Q: Suppose that X has a hypergeometric distribution with N = 2,000, K = 800, and n = 200. Find the…

A: Given,  X has a hypergeometric distribution with N = 2,000, K = 800, and n = 200. We have to find…

Q: at the random variable X has a normal distribution. It e comma please)

A: *Answer:

Q: 2 If x is normally distributed with a mean of 5 and standard deviation of 2, find the P(x>8).

A: Given X is normal distribution Mean = 5 Standard deviation = 2

Q: Let H be the discrete r.v. that represents the number of heads obtained when a fair coin is flipped…

A: Given information- We have given that a fair coin is flipped for one time. Let, H be the discrete…

Q: Consider the Parcto distribution with Cumulative distribution func- tion: (G)". F(X) = 1 Compute its…

A: variance = 3

Q: Suppose that X has a hypergeometric distribution with N = 2000, k = 800 and n=200. Find the…

A: Given data: X has a hypergeometric distribution  with, N = 2000 k = 800 n =200

Q: .Suppose that X has a Weibull distribution with parameters a and ß. Integrate to find the momer…

A:

Q: 2. Suppose Y has a standard normal distribution. Define U = Y. Show that U has a gamma distribution…

A: Given that  Suppose Y has a standard normal distribution. Define U = Y ^ 2 . Show that U has a gamma…

Q: If np(is greater than or equal to)5, estimate P(fewer than 5) with n=13 and p=0.4 by using the…

A:

Q: Let Xhave a binomial distribution with parameters n = 25 and p=.4. Calculate P (9 < X < 12) using…

A: X have a binomial distribution with parameter n=25 and p=0.4 By using normal approximation…

Q: Suppose X has a gamma distribution with the following parameters: mean u- 41.5692 ms B = o /u =…

A:

Q: Find the area under the Standard Distribution Curve  To the right of Z=1.92 and to the left of…

A: The density of a standard normal distribution is defined as, f(z)=12πe-z22,-∞&lt;z&lt;∞.    The…

Q: Suppose x has a distribution (not nessarily normal) with mean 50 and standard deviation 8. According…

A: Solution: 1. From the given information, X has mean µ=50 and a standard deviation σ=8.

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…

A: The standard normal variable is z, which follows the normal distribution with the mean of 0 and…

Q: 3. Suppose that X has a Poisson distribution with h = 80. Find the probability PCX< 70) based on the…

A: Given: X has a Poisson distribution with h = 80.

Q: Suppose a random variable X has the following pdf. 12 (x² - x) 0<x <1 0 < x <1 fx (x)= otherwise The…

A:

Q: Given that x has a Poisson distribution with u= 1.7, what is the probability that x = 1? P(1) (Round…

A:

Q: Let x be a continuous random variable that has a normal distribution with a mean of 50 and a…

A:

Q: 5. Suppose that X has an exponential distribution with parameter A. Prove that Y = VX has a Weibull…

A:

Q: Explain a situation in which the criteria for using the approximation would be met, ie. np ≥ 5 and…

A: Ans .  The mean μ of a binomial = np. The standard deviation of a binomial = √np(1−p) For a normal…

Q: Let X and Y have a bivariate normal distribution with parameters P₁ = 5.4, p= 0.70and given Y = 6,…

A: Given that μ1=5.4, σ1=1.5, μ2=5.10, σ2=2, ρ=0.70

Q: Suppose that X has a hypergeometric distribution with N = 2,000, K = 800, and n= 200. Find the…

A:

Q: 2. Suppose that X has a hypergeometric distribution with N = 2,000, K = 800, and n= 200. Find the…

A: X has a hypergeometric distribution N=2000 K=800 n=200 P(X&lt;=70)=? For hypergeometric and normal…

Q: For a binomial distribution with n=8 and P=0.5, find P=(3<X<6) and P(X=4) using the normal…

A: Binomial distribution: A discrete r.v. X taking values 0,1,2,3, …., n is said to follow a binomial…

Q: S. Suppose that X has a Poisson distribution with h= 80. Find the probability P(X< 70) based on the…

A: given: random variable x follow Poisson distribution with parameter h=80  Then to find probability…

Q: Suppose that X has a Poisson distribution with h = 80. Find the probability P(x is less than or…

A: Given, X ~ Poisson (λ = 80)   The probability mass funnction is given by: f(x, λ) = P (X = x) = λx…

Q: 2. Suppose that X has a hypergeometric distribution with N= 2,000, K = 800, and n= 200. Find the…

A: Hyper geometric distribution : The hypergeometric distribution may be a separate likelihood…

Q: 3. Suppose that a random variable X has a continuous distribution for which the p.d.f. is as…

A:

Q: Suppose that X~bin(75,0.2). Using the normal approximation to the binomial distribution, P(14.< X <=…

A: GivenX~Binomial(75,0.2)

Q: for the binomial distribution with n=24 and p=0.6, state whether or not it is suitable to use the…

A:

Q: Assume the readings on thermometers are normally distributed with a mean of 0°C and a standard…

A: Let X denote the readings on thermometer. Given that X follows N(mean = 0, SD = 1) i.e standard…

Q: Assume that X has a normal distribution with mean u= 15.2 and the standard deviation is o= 0.9.,…

A: Given: μ=15.2, σ=0.9 The corresponding z-value needed to be computed are: Thus,

Q: Suppose that X has a hypergeometric distribution with N = 2,000, K= 800, and n= 200. Find the…

A:

Q: Suppose you take independent random samples from populations with means µi and µz. Furthermore,…

A: Given, two independent random samples with population means μ1 and μ2 n1,n2 are sample sizes and X1,…

Q: A random variable, X, has a normal distribution with mean equal to 1000 and standard deviation equal…

A: Given data,μ=1000σ=100P(X&gt;x)=0.2578x=?

Q: Given a normal distribution with u = 20 and o = 6, find the value of x that has %3D 0.1711 of the…

A: Let X follows Normal(mean = 20, SD = 6), then Z = (X - mean)/SD follows N(0,1)

Q: 27. The normal approximation to the Poisson distribution X with mean is X ~ N() X ~ N(4) c N(4) D X~…

A: for Poisson distribution X mean λ=14

Q: 3. Suppose that X has a Poisson distribution with h= 80. Find the probability PCX< 70) based on the…

A: Here use normal approximation with continuity correction factor

Q: Suppose that X follows a binomial distribution with n = 100 and p = 0.1. If F(x) is the cumulative…

A: Since n = 100 is large X can be approximated to normal distribution with parameters.

Q: Suppose a random variable X has a Bernoulli distribution for which the parameter O is unknown (0…

A: We want to find the fisher information of Bernoulli distribution.

Q: For a sample of 42 rabbits, the mean weight is 5 pounds and the standard deviation of weights is 3…

A: According to central limit theorem, for large sample (&gt;30) or if the population follows normal…

Q: For a binomial distribution with n=8 and P=0.5, find P=(3≤X≤6) and P(X=4) using the normal…

A:

Q: Suppose that X-bin(65,0.2). Using the normal approximation to the binomial distribution, P(12.< X <…

A:

Q: 5- Given a normal distribution with u = 25 and o = 4, the area under the normal curve between x1 =…

A: We have to find given probability.

Q: If np≥5 and nq≥5​, estimate P(fewer than 3) with n=13 and p=0.4 by using the normal distribution as…

A: From the provided information, Sample size (n) = 13 Probability (p) = 0.4 Now,

Q: Suppose that X-bin(75,0.2). Using the normal approximation to the binomial distribution P(14 < X <…

A: Given,n=75p=0.2mean(μ)=np=75×0.2=15standard deviation(σ)=np(1-p)σ=75×0.2×1-0.2σ=3.4641

Q: 2. Show that in a Lorentzian distribution the half width is r.

A: Introduction -   The Lorentizan function is the singly peaked function given by L(x)…

Q: Suppose that a random variable X has a hypergeometric distribution with parameters n = 36, N = 50,…

A: