The random variable X has a normal distribution: X ~ Normal(54,8). Find the following: (a) P(X > 56) (b) P(X < 30) (c) Find the 80th percentile for X

Q: A normal distribution has u = 30 and o = 5.

A: Given that, Mean = 30 Standard deviation = 5 Z score = 1.3

Q: A random variable x is normally distributed with a mean u = 213 and a standard deviation o = 8. Find…

A:

Q: Express the k th percentile, Pk , of a normally distributed variable in terms of its mean, μ, and…

A: The kth percentile represents the area of k to the left of z. Here, the kth percentile is calculated…

Q: Let X1,., X4 be a random sample chosen from the normal distribution with an unknown mean and…

A: Answer is explained below

Q: Let X be a random variable following a normal distribution with mean 14 and variance 4. Determine a…

A: Solution: From the given information, X follows normal distribution with mean µ=14 and variance…

Q: Which one of the following relation between standard deviation (S.D.) and variance Var (: variable X…

A: What is the relationship between standard deviation and Variance?

Q: Scores on a standardized exam are known to follow a normal distribution with a standard deviation of…

A: The width of the given interval is,

Q: Q5: Let X be a random variable following a normal distribution with mean 14 and variance 4.…

A: Given, Mean μ = 14Variance σ2 = 4Standard deviation σ = 2 P(X-2 &gt; c) = 0.95

Q: Let x be a random variable that represents the level of glucose in the blood (milligrams per…

A:

Q: Let X be the scores on an achievement test given to a certain population of students, with the…

A: Population mean μ =500 Population standard deviation =20 Sample size n =25

Q: A normal distribution has μ = 32 and a = 5. (a) Find the z score corresponding to x = 27. (Enter an…

A: Given that  X~N (μ = 32  , σ = 5) μ= 32  , σ = 5 Formula for Z-score Z=(X-μ)/σ

Q: The average time taken to run 10km, X, follows a normal distribution with μ = 60 minutes and σ = 15…

A:

Q: Let X be a random variable with a normal distribution with a mean of 100 and a standard deviation of…

A: We have given that  Mean(µ) = 100Standard deviations (σ) = 20X ~ N (µ, σ )= N(100, 20)

Q: Let X be a variable with normal distribution with mean ? = 36.8 ℃ and standard deviation ? = 0.4 ℃.…

A: We want to find probability of temperature reaches more than 40° c

Q: A normal distribution has u = 30 and o = 5. (a) Find the z score corresponding to x = 25. (b) Find…

A:

Q: Let data be x1, . . . , xn. each data-point xi is normally distributed, with unknown mean θ and…

A: We have a random sample X1,X2,....,Xn which is normally distributed with unknown mean θ and standard…

Q: Let X represent the weight in pounds of a king salmon caught at the mouth of certain river and…

A: Given problem Given that   Let X represent the weight in pounds of a king salmon caught at the…

Q: If P(-X < z < +X) = 0.9198, find the value of X using Standard Normal Distribution table.

A: In this case, it is given P-X&lt;Z&lt;+X=0.9198.

Q: Find the mean and standard deviation for the binomial distribution when p = 3/8 and n= 235.

A: Given p=3/8, n=235

Q: The variable xx denotes the time taken in seconds for a computer link to be made between the…

A: It is given that the mean is 15 and the standard deviation is 3.

Q: Assume the random variable X is normally distributed with a mean of 50 and a standard deviation of…

A:

Q: Vhat is the probability that Dis at least 15050 kg/day Does the probability of D greater than the…

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Q: For a recent English exam, use the Normal model N(73, 9.2) to find the proportion of scores under…

A: From the provided information. Mean (x) = 73 And standard deviation (s) = 9.2 Let Y be a random…

Q: Assume that x has a normal distribution with the mean=4 and standard deviation=6. Find the…

A: It is given that, X has a normal distribution with mean, μ =4 and standard deviation, σ =6.

Q: A normal distribution has ? = 31 and ? = 4. (a) Find the z score corresponding to x = 27. (b)…

A: The provided information is µ=31 σ=4 a. when x=27 z=x-µσz=27-314z=-1 The z score is -1

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A:

Q: Suppose that the weight of an newborn fawn is Uniformly distributed between 2.2 and 3 kg. Suppose…

A: Given that : The weight of the newborn fawn is unifromly distributed between 2.2 and 3 kg.  The…

Q: Let X be a random variable with mean u= E(X) = 10.33 and variance o = 12.81. Determine: E{10- E 10-…

A: In question, We have given that X is random variable and E(X) = 10.33 and sigma^2 = 12.81. Then…

Q: Total plasma volume is important in determining the required plasma component in blood replacement…

A: (b)   Identify the conditions that are necessary for the calculations.   The correct option is…