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...
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...
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)
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)
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...
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) =
Suppose x has a distribution with μ = 35 and σ = 18. (a) If random samples of size n = 16 are selected, can we say anything about the x distribution of sample means? Yes, the x distribution is normal with mean μ x = 35 and σ x = 4.5. No, the sample size is too small. Yes, the x distribution is normal with mean μ x = 35 and σ x = 18. Yes, the x distribution...
Suppose x has a distribution with μ = 32 and σ = 17. (a) If random samples of size n = 16 are selected, can we say anything about the x distribution of sample means? No, the sample size is too small. Yes, the x distribution is normal with mean μ x = 32 and σ x = 17. Yes, the x distribution is normal with mean μ x = 32 and σ x = 1.1. Yes, the x distribution...
9. Find the probability P(140 < x < 149). The μ= 149 and σ= 5.18. Round to 4DP. _____________ 10. Find the probability using the standard normal distribution. Round to 4DP. P(z < −1.35 or z > 1.35) ______________ For 12 – 15, round to 2DP. 12. Find the z-score for which 70% of the area is to the right. ________ 13. Find the z-score that corresponds to P6. ________ 14. Find the z-scores for which 60% of the distribution’s...