8. For a normal distribution with u = 138.2 and o = 10.3, find the probability o a) P(x > 140) = b) P(x < 120) = c) P(115 < x < 125) = d) P(x > 130) = %3D

Q: Let Y be a continuous random variable that is normally distributed with mean, u = 30 and standard…

A:

Q: Suppose X follows a standard Normal distribution, find P(X < 1) P(X = 1) %3D

A: According to empirical rule, 68.27% of data lies within one standard deviation from the mean, 95.45%…

Q: Just number 3

A: a) For (x̄ = 11.0) the corresponding maximum error is 3.968. The confidence interval can be obtained…

Q: Assume that ? is a random variable has a gamma distribution with (alpha) = 3 and (beta) = 10. A)…

A: Here alpha = 3 , beta = 10 Mean = 3×10 = 30 Standard deviation = 10 √3 = 17.32

Q: a)P(−0.83 1.67) c) The z-score for the standard normal distribution shown below.

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Q: Find the area under the normal curve and above the interval ​[44​,57​] on the horizontal axis.

A: given data, normal distribution μ=50σ=5we  have to find out the p(44&lt;x&lt;57)=?

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A:

Q: 13. For the standard normal distribution. (a). Find P(Z > 1.24) (b). Find k so that P(-k <Z< k) =…

A: From the provided information,b)

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A: Step 1: Given that middle 70% of area lies between (7, 13) as it is covers the middle  the mean lies…

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A: Obtain the Z-score for the middle 45% of the distribution. The Z-score for the middle 45% of the…

Q: Consider the normal distribution with mean 68 and standard deviation 10. Find the area under the…

A: We want to find area under the normal curve in the given interval.

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Q: 33. Let X have a Nonstandard Normal Distribution with u = 55 and o = 8. Find P(X < 59). A. 0.68146…

A:

Q: A normal distribution has mean μ=20 kg and standard deviation σ=10 kg. Find the​ z-value of each of…

A: Given A normal distribution has mean μ=20kg and standard deviation σ=10kg.    To find z value   Z…

Q: 9. For a normal distribution with u = 12.8 and o = 1.35, find the probability of... a) P(x > 11) =,…

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Q: Consider a normal distribution curve where 95-th percentile is at 14 and the 30-th percentile is at…

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Q: Let X represent the full height of a certain species of tree. Assume that X has a normal probability…

A: GivenMean(μ)=171.7standard deviation(σ)=91.5sample size(n)=242

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A: mean = 52 sigma = 20

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Q: If the random variable X has a normal distribution with mean = 48 and standard deviation = 18, then…

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Q: The length of a movie file that is available for streaming is modeled using the normal distribution…

A: