Question

Suppose X has a binomial distribution with p = 0.3 and n = 20. Note that...

Suppose X has a binomial distribution with p = 0.3 and n = 20. Note that E[X] = 6. Compute P(5 <X < 8) exactly and approximately with the CLT. Answers: 0.4851 from normal, 0.4703 from exact computation.

please write the process

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Using your knowledge of Binomial Distribution find: a. P(5) if p = 0.3, n = 7...
Using your knowledge of Binomial Distribution find: a. P(5) if p = 0.3, n = 7 Answer with at least 5 decinal places. b. P(x < 3) if p = 0.65, n = 5 c. P(x > 4) if p = 0.25, n = 6 d. P(at least one) if p = 0.45, n = 6 e. (A-Grade) P(x ≤ 17) if p = 0.75, n = 20
Suppose that Y has a binomial distribution with p = 0.60. (a) Use technology and the...
Suppose that Y has a binomial distribution with p = 0.60. (a) Use technology and the normal approximation to the binomial distribution to compute the exact and approximate values of P(Y ≤ μ + 1) for n = 5, 10, 15, and 20. For each sample size, pay attention to the shapes of the binomial histograms and to how close the approximations are to the exact binomial probabilities. (Round your answers to five decimal places.) n = 5 exact value...
Suppose X is binomial random variable with n = 18 and p = 0.5. Since np...
Suppose X is binomial random variable with n = 18 and p = 0.5. Since np ≥ 5 and n(1−p) ≥ 5, please use binomial distribution to find the exact probabilities and their normal approximations. In case you don’t remember the formula, for a binomial random variable X ∼ Binomial(n, p), P(X = x) = n! x!(n−x)!p x (1 − p) n−x . (a) P(X = 14). (b) P(X ≥ 1).
Suppose that x has a binomial distribution with n = 202 and p = 0.47. (Round...
Suppose that x has a binomial distribution with n = 202 and p = 0.47. (Round np and n(1-p) answers to 2 decimal places. Round your answers to 4 decimal places. Round z values to 2 decimal places. Round the intermediate value (σ) to 4 decimal places.) (a) Show that the normal approximation to the binomial can appropriately be used to calculate probabilities about x np n(1 – p) Both np and n(1 – p) (Click to select)≥≤ 5 (b)...
Suppose that x has a binomial distribution with n = 199 and p = 0.47. (Round...
Suppose that x has a binomial distribution with n = 199 and p = 0.47. (Round np and n(1-p) answers to 2 decimal places. Round your answers to 4 decimal places. Round z values to 2 decimal places. Round the intermediate value (σ) to 4 decimal places.) (a) Show that the normal approximation to the binomial can appropriately be used to calculate probabilities about x. np n(1 – p) Both np and n(1 – p) (Click to select) 5 (b)...
Let X ∼ Binomial(20, 0.3). (a) Find the exact P(10 < X ≤ 16) in numerical...
Let X ∼ Binomial(20, 0.3). (a) Find the exact P(10 < X ≤ 16) in numerical form. (b) Propose a Normal distribution W that match well with X. (c) Approximate the probability in (a) using the Normal distribution in (b), 0.5 correction factor should be taken into consideration.
approximate the following binomial probabilities for this continuous probability distribution p(x=18,n=50,p=0.3) p(x>15,n=50,p=0.3) p(x>12,n=50,p=0.3) p(12<x<18,n=50,p,=0.3)
approximate the following binomial probabilities for this continuous probability distribution p(x=18,n=50,p=0.3) p(x>15,n=50,p=0.3) p(x>12,n=50,p=0.3) p(12<x<18,n=50,p,=0.3)
Compute​ P(X) using the binomial probability formula. Then determine whether the normal distribution can be used...
Compute​ P(X) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this probability. If​ so, approximate​ P(X) using the normal distribution and compare the result with the exact probability. n=62​, p=0.3 and X=16 A. find P(X) B. find P(x) using normal distribution C. compare result with exact probability
Let X denote a random variable that follows a binomial distribution with parameters n=5, p=0.3, and...
Let X denote a random variable that follows a binomial distribution with parameters n=5, p=0.3, and Y denote a random variable that has a Poisson distribution with parameter λ = 6. Additionally, assume that X and Y are independent random variables. Using the joint pdf function of X and Y, set up the summation /integration (whichever is relevant) that gives the expected value for X, and COMPUTE its value.
Let X denote a random variable that follows a binomial distribution with parameters n=5, p=0.3, and...
Let X denote a random variable that follows a binomial distribution with parameters n=5, p=0.3, and Y denote a random variable that has a Poisson distribution with parameter λ = 6. Additionally, assume that X and Y are independent random variables. Using the joint pdf function of X and Y, set up the summation /integration (whichever is relevant) that gives the expected value for X, and COMPUTE its value.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT