Find P(x>120) P(x>120) provided that it is known that μ=95 μ=95 and σ=14 σ=14 . Assume that the distribution is approximately normal. Select one: a. 0.7852 b. 0.0367 c. 0.9633 d. 1.7936
Find P(x>120) P(x>120) provided that it is known that μ=95 μ=95 and σ=14 σ=14 . Assume...
Let μ=E(X), σ=stanard deviation of X. Find the probability P(μ-σ ≤ X ≤ μ+σ) if X has... (Round all your answers to 4 decimal places.) a. ... a Binomial distribution with n=23 and p=1/10 b. ... a Geometric distribution with p = 0.19. c. ... a Poisson distribution with λ = 6.8.
Problem 4 - Bayesian inference with uniform prior The data are 21:n, the model is Normal(μ, σ*), with σ2 known. The problem is to obtain the posterior distribution of μ, p(p xỉ n, σ*)p(μ|xì n, σ2) when the prior po(A) is uniform in [-a, a] a. Using Bayes rule, obtain the expression of pĢi X1:n, σ*) as a function of a and the data. Be careful to handle all cases. Give and explicit simple expression for the normaliztion constant. You...
If X ~ N ( μ,σ^2) What is the range of X for the given Normal distribution?A) (0, 1, 2,…n) B) (-1,1) C) (-∞,∞) D) (1, 2, 3,…n) What is the mean of X for the given Normal distribution? A) μσ B) σ^2 C) μ σ^2 D) π What is the variance of X for the given Normal distribution? A) σ^2 B) σ C) μ D) π σ^2 What do you think will be a suitable expression for the standard...
Given μ=70.5 and σ=4.6 of normal distribution, find а. p(65 < х < 75) b. p(72 < x < 80) c. p(x > 80) d. p(x < 65)
Given that x is a normal variable with mean μ = 113 and standard deviation σ = 14, find the following probabilities. (Round your answers to four decimal places.) (a) P(x ≤ 120) (b) P(x ≥ 80) (c) P(108 ≤ x ≤ 117)
To convert any x value from a normal distribution with mean μ and standard deviation σ into a z-score, we ___________ . Select one: a. Add μ to x and then divide by σ b. Divide x by σ c. Subtract μ from x and then multiply by σ d. Subtract μ from x and then divide by σ
A normal distribution has a mean of μ = 80 with σ = 12. Find the following probabilities. (a) p(X > 83) (b) p(X < 74) (c) p(X < 92) (d) p(71 < X < 89)
Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 103; σ = 14 P(x ≥ 120) =
Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 109; σ = 14 P(x ≥ 120) =
7) In a normal distribution with μ=14 and σ=2, find the mean of the distribution of sample means for samples of size 25. 8) In a normal distribution with μ=12 and σ=0.75, find the standard deviation of the distribution of sample means for samples of size 64. (Round to the nearest ten-thousandth.) 11)Your company manufactures hot water heaters. The life spans of your product are known to be normally distributed with a mean of 13 years and a standard deviation...