A random variable X is distributed as normmal with mean ụ - 0.8 and standard deviation G0.003. If P (X< K) = 0.95, then K 0.80658 None of these 0.80493 0.80987

Q: The PMF of a discrete random variable X is given below; where a is an integer, and k is an unknown…

A: Given :  The PMF of a discrete random variable X is given below; where a is an integer, and k is an…

Q: Given that X is a continuous random variable that has a uniform probability distribution, and 0…

A: A random variable X~U(0,1)f(x)=1 ; 0&lt;x&lt;1

Q: Let Y be a continuous random variable that is normally distributed with mean, u = 30 and standard…

A:

Q: The random variable X has a Poisson distribution and is such that P(X)= 2 = 3P(X= 4). Find these,…

A: Assuming P(X=2)=3P(X=4) x~Poi(x),λ&gt;0P[x=x]=e−λλxx!P[x=2]=e−λλ22!P[x=4]=e−λλ44!∴ Assuming…

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: A random variable X is distributed as normal with mean µ = 0.8 and standard deviation o = 0.004. If…

A: Given Mean =0.8 Standard deviation=0.004

Q: Use normal approximation to a Binomial Distribution (X) having n=500 trials and p = 0.025 for…

A:

Q: Let X be a continuous random variable that is normally distributed with mean, µ = 15 and standard…

A: GivenMean(μ)=15standard deviation(σ)=2.8

Q: Q1\A/ Consider a discrete random variable X whose pmf is given by: Find: 1-E[ X ] and Var( X )? f(x)…

A: Given p.m.f. is  f(x)=13                    x=-1,0,1     =0                        otherwise

Q: Let X be a normal random variable, with E(X)= 10, E(X²) = 200. Find the value c> 0 such that P(-20…

A:

Q: A random variable, X, is distributed normal and defined as X-N(u, o). The standard normal…

A:

Q: A discrete uniform population Si , x = 2, 4 , f(x) : 6 , 8 0, elsewhere find the probability that a…

A: Given a discrete uniform population, fx=14,   x=2,4,6,80,     elsewhere The mean and standard…

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

A: variance = 3

Q: Let x be a continuous random variable that is normally distributed with a mean of 25 and a standard…

A: GivenMean(μ)=25standard deviation(σ)=4

Q: (i) Use normal approximation to a Binomial Distribution (X) having n=500 trials and p = 0.025 for…

A: Given that n= 500 , p=0.025 Here, we need to use normal approximation to a Binomial Distribution (X)…

Q: Let the random variable X represent the profit made on a randomly selected day by ai certain store.…

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: Scores of the first test in Econ 261 follow a normal distribution with mean 70 and standard…

A:

Q: The average value of gasoline purchased by customers at a gas station is 11.5 gallons with a…

A:

Q: A normal distribution has a mean of u = 60 with o = 8. If one score is randomly selected from this…

A: Mean = 60 Standard deviation = 8

Q: 0<x<1 f (x) = {2-x 1<x<2 18x<2 otherwise

A: Chebyshev’s theorem = P (|x - μ| ≤k2 ) ≥1-1k2

Q: *An actuary determines that the claim size for a certain class of ac- cidents is a random variable,…

A: it can be solved by

Q: A box has a large number of items of which their weights are distributed normally with a mean of 44…

A: GivenMean(μ)=44standard deviation(σ)=15

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

A:

Q: A box has a large number of items of which their weights are distributed normally with a mean of 50…

A:

Q: p.d.f. h(x) of the random variable x is defined by h(x) =3/(4(1-x²)),-1<x< 1,Calculate the standard…

A:

Q: A random sample of size n 100, from a population with standard deviation g=8.4 is used to te Ho:H=75…

A: Given: n=100,σ=8.4

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

A:

Q: The PMF for X- the number of major defects on a randomily selected gas stove of a certain type is…

A:

Q: Scores of the first test in Econ 261 follow a normal distribution with mean 70 and standard…

A: Solution: Let X be the scores of the first test in Econ 261. From the given information, X follows…

Q: Suppose that independent observations z1,, Bernoulli distribution with pmf f(z\p) = p* (1 – p)'- on…

A:

Q: Scores of the first test in Econ 261 follow a normal distribution with mean 70 and standard…

A: Standardized z-score:   The standardized z-score represents the number of standard deviations the…

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: A random sample of size n; - 13 is selected from a normal population with a mean of 75 and a…

A:

Q: Use normal approximation to a Binomial Distribution (X) having n=500 trials and p = 0.025 for…

A:

Q: i. Compute the exact value of P(4<=X<=8) and ii. Normal approximation to P(4<=X<=8)

A: Given: X~Binomialn=10, p=0.5

Q: A box has a large number of items of which their weights are distributed normally with a mean of 50…

A:

Q: 30. If e1+81' is the moment generating function of a normal variate X, find P(-1< X <9).

A:

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: Let X is a discrete random variable whose cumulative distribution function graph is given below: 11…

A:

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

A:

Q: A soft-drink machine at a steak house is regulated so that the amount of drink dispensed is…

A: Given, Sample Size i.e. n = 9 Population Mean i.e. μ =200 Population Standard Deviation i.e. σ=15 a…

Q: A random sample of size n= 100, from a population with standard deviation g=9.1.is used to test…

A: Solution: 9. From the given information, n=100 and σ=9.1. Null hypothesis: H0: µ=75 Alternative…

Q: Assume that the random variable X is normally distributed, with mean u =110 and standard deviation o…

A: Given : mean = μ = 110 standard deviation = σ = 15

Q: A random variable X is distributed as normal with mean u-0.8 and standard deviation o 0,003. If P…

A:

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 that the number of traffic accidents, N, in a given period of time is distributed as a…

A:

Q: Scores of the first test in Econ 261 follow a normal distribution with mean 70 and standard…

A:

Q: Scores of the first test in Econ 261 follow a normal distribution with mean 70 and standard…

A: Solution: Let X be the scores of the first test in Econ 261. From the given information, X follows…

Q: A random sample of size n = 100, from a population with standard deviation g=8,4 is used to test…

A: Given: Ho: mu = 75 H1: mu = 79.5    n= 100 population standard deviation = sigma = 8.4 Critical…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.