2. Assume that x is a binomial random variable with n=1000 and p=0.50. Use a normal approximation to find each of the following probabilities: a) P(x> 500 b) P(490 s x500) c) P(x> 550)

Q: Let x be a binomial random variable with  n = 20 and p = 0.2 Find  p (x<5)

A: Given information: X is a binomial random variable. The parameters are: Number of trials, n = 20…

Q: 1. Let X be a Binomial random variable with n = 3 and p = 0.4: X~ Binomial(3, 0.4). a) Fill in the…

A: X be a Binomial random variable with n=3 and p=0.4X~Binomial(n=3,p=0.4)P(X=x)=nx×px×(1-p)n-x    ;…

Q: About 15% of a town's popula. of customers that arrive at a c (a) What type of random va parameters…

A: Solution:  Let X count the number of customers  that arrive at a certain restaurant until tenth…

Q: Show that if a random variable has a uniform den-sity with the parameters α and β, the probability…

A:

Q: Suppose x is a uniform random variable with a = 30 and b = 60. Find P(x < 38 | x < 50).     0.27…

A: Given that:  X~Uniforma,b=Uniform30,60 Required probability:  P(x &lt; 38 | x &lt; 50)

Q: Assuming that X is a binomial random variable where n= 10 and p= 0.3, find P(X>4).

A: given data binomial distributionn = 10p= 0.3P(x&gt;4) = ? formula of binomial distribution: P(X=x) =…

Q: A random variable x can have five values: 0, 1, 2, 3, 4, 5. The probability distribution is:   x 0…

A:

Q: Suppose x is a binomial random variable such that n=5 and p=0.4, answer the following: a) Find…

A: Consider,

Q: For a binomial random variable X, n = 15 and p= 0.60. Find P(x= 5)

A: Answer: From the given data, sample size (n) = 15 p = 0.60 X~ Binomial distribution (n,p)

Q: Assume that X is a binomial random variable with n= 5 and p = .35. Calculate P(X ≤ 1) O 0.3124…

A:

Q: d) What is the expected value of X? e) What is the variance of X? [

A: It is given that 45% of new freshmen eventually graduate and sample size is 81.

Q: For a standard normal random variable Z~ Normal(0, 1), find the following probabilities: a) P(Z >…

A: Answer:- Given, Standard normal random variable Z~ Normal(0, 1).  Using method, We use standard…

Q: Let X be binomial random variable with n =20. For the hypothesis test Ho p = 0.5 versus Ha : p > 0.5…

A: It was stated to suppose that X is binomial variate. The hypothesis is given as:

Q: Suppose X. 1 and 2 are three independent normal random variables. X has an expected value Variable…

A: X, Y and Z are independent normal random variable. Information given in the table. Variable X Y…

Q: If Z is a normal random variable with mean 0 and standard deviation 1, find the following…

A:

Q: Assume that a discrete random variable X such that V(X) = 6.5. Find the value of V

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: Let X be a random variable distributed as Normal (5,9). Find the probabilities of the following…

A: Givenx be a random variable x~Normal(5,9)Mean(μ)=5variance(σ2)=9standard deviation(σ)=9=3

Q: 7. For the following data: 9, 5, 10, 7, 9, 10, 11, 8, 12, 7, 6, 9 1. Compute the z-score for the raw…

A: Hello. Since your question has multiple, we will solve first question for you. If you want remaining…