Ex10: Let X be a normal distribution with a mean of 5 and standard deviation 1. Find: a/ P(X= 5) and P(3< X <4) b/P(4≤X) and P(X ≤8)

Q: Assume that X is normally distributed with a mean of 12 and a standard deviation of 2. Determine…

A: From the provided information, Mean (µ) = 12 Standard deviation (σ) = 2

Q: LetX have a standard normal distribution (mean zero, variance one) and letY=X 4. Show that X and Y…

A: Two R.V’s X, Y are uncorrelated if their covariance COV(X, Y) = 0Recall that:

Q: Suppose X has a continuous uniform distribution over the interval -1,1. Determine the variance.…

A: GivenX has a continuos uniform distribution over the interval (-1,1)The corresponding density…

Q: 6. A random variable X is normally distributed with a mean μ. In the following diagram, the shaded…

A: Normal distributionThe normal distribution is the probability distribution for continuous data, and…

Q: Suppose X has a continuous uniform distribution over the interval [-2, 2]. Determine (a) Mean…

A: From the provided information, X~U (a, b) Here a = -2 and b = 2

Q: If X ~B(60,0.18), use the normal distribution to approximate the binomial distribution for: (i)…

A: Given, X ~B(60,0.18) i.e., n=60 p=0.18 P(X=10)=?

Q: EX#2: Let x be a continuous random variable that is normally distributed with a mean of 25 and a…

A: We have given that,  X be the random variable from normal distribution with mean (μ) = 25 and…

Q: The following table gives frequencies of occurrence of a variate x between certain limits : Variate…

A: Average daviation = 33.33 Standard daviation = 3.8729

Q: Ex6: Assume X is normally distributed with a mean of 5 and a standard deviation of 4. Determine the…

A: Given data: Mean = 5 Standard deviation = 4

Q: ez-score for x = 61 is . So 61 is standard deviations (Choose one) ▼ the mean μ = 56. X

A: It is given thatMean, μ = 56Standard deviation, σ = 20Z-Score, Z = ( X - μ )/σwhere, Z be the…

Q: Suppose that f (x) = x / 8 for 3 < x < 5. Determine the mean and variance of x.

A:

Q: The length of human pregnancies from conception to birth follows a Normal distribution with a mean…

A: Given that  μ=266,σ=16 X~Normal(μ=266,σ=16)

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: A distribution X ~ U(2, 9). Find P(x < 6). Round answer to three decimal places.

A: We have find distribution..

Q: The median of the distribution X having p.d. f. f(x) = {3x",0 < x < 1 0 ,0.w. %3D

A: We have to find median for given pdf.

Q: A mean and standard deviation of a normal variate are 8 and 4 respectively. Find P(5 < x < 10)

A: Given that ; Population mean (u) = 8  Standard deviation = 4 By using standard normal distribution…

Q: The mean systolic blook pressure is 121 with a standard deviation of 16. Define the random variable…

A: The mean systolic blood pressure is µ=121 and its standard deviation is 16.

Q: distributions of both Y1 and Yn are uniform and continuous

A: We know that first order statistic PDF is given by fy1(y1) as shown below. Mean or Expected value…

Q: Assume that X is normally distributed with a mean of 10 and a standard deviation of 2. Determine…

A: Let X be the random Normal variable with the mean of 10 and standard deviation 2. Then we introduce…

Q: distribution X ~ U(2, 15).  Find P(x < 7).  Round answer to three decimal places.

A:

Q: Let X be a randon variable following normal distribution with mean +1 and variance 4. Let Y be…

A: Introduction :

Q: Assume that ex has a normal distribution with a specify mean and standard deviation mean =18…

A: Obtain the standard z-score for the random variable X equals 30. The standard z-score for the…

Q: . Let X have a standard normal distribution. Find  P(X ≧ -0.25)

A: Given,   Let X have a standard normal distribution.    The mean and standard deviation of X is,…

Q: Find the Z score for which 80% of the distributions area lies between -z and z

A: Solution: From the given information, the area lies between –z and z is 0.80.

Q: A normal distribution has mean u = 56 and standard deviation o = 20. Find and interpret the z-score…

A: Given : Let X follows normal distribution with Mean (μ) = 56Standard deviation (σ) = 20i.e X~N(μ =…

Q: Let x = red blood cell (RBC) count in millions per cubic millimeter of whole blood. For healthy…

A: As per our guidelines we are supposed to answer three subparts kindly post the remaining subparts in…

Q: approximately normal distribution with mean ? = 5.4 and standard deviation ? = 0.6.   a) Convert…

A: Given data,Mean μ=5.4sd      σ=0.6

Q: Assume a distribution with mean of 50 and a standard devivation of 12.  For an x-value of 65, the…

A: Given information- Population mean, µ = 50 Population standard deviation, σ = 12

Q: Find P(27 < X < 32) if X is normally distributed with mean 24 and standard deviation 5.

A: The answer provided below has been developed in a clear step by step manner.

Q: Find P(11<X<15) If X is normally distributed with a mean of 14 and a standard deviation of 2?

A:

Q: ) is define as the “number distribution function” , where dp is the particle diameter. Assume nN(dp)…

A: