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)
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)
Assignment Scoring Your best submission for each entire question is used for your score. 6. + 0/5 Submissions Used A normal distribution has a mean of ui - 80 with o - 12. Find the following probabilities. (a) P(X > 83) (b) p(x < 74) (c) P(X < 92) (d) p(71 < X < 89) Need Help? Read It Talk to Tutor Submit Answer View Previous Question Question 6 of 10 View Next Ques
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)
Given that x is a normal variable with mean μ = 105 and standard deviation σ = 10, find the following probabilities. (Round your answers to four decimal places.) (a) P(x ≤ 120) (b) P(x ≥ 80) (c) P(108 ≤ x ≤ 117)
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...
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Let X be normal with mean μ and standard deviation σ. a) The cumulative distribution satisfies F(σ) = 50% b) X is bimodal with modes as μ- σ and μ+σ c) F(μ-σ) = 1-F(μ+σ) d) Z = (X-μ)/σ is the standard unit normal. e) If a<c<b, the (F(b)-F(a))>(F(c)-F(a))
If X has a normal distribution with mean μ and standard deviation σ, and Z is the standard normal random variable whose cumulative distribution function is P(Z s Z)-0(Z), then which of the following statements is NOT correct? O E. All of the given statements are not correct
Assume that x has a normal distribution, with the specified mean and standard deviation. Find the indicated probabilities. P(x ≥ 6); μ = 17; σ = 5 0.486 0.243 0.986 0.493 0.014
Given that x is a normal variable with mean μ = 51 and standard deviation σ = 6.1, find the following probabilities. (Round your answers to four decimal places.) (a) P(x ≤ 60) (b) P(x ≥ 50) (c) P(50 ≤ x ≤ 60)