The density for the random variable X, the number of people per day who sought unnecessary treatment in a small hospital emergency department, is given by: x 0 1 2 3 4 5 f(x) 0.01 010 0.30 0.40 0.10 0.09 Find: P(X>4)=? P(0

Q: X is a chi square random variable with 11 degrees of freedom. What is the value of x if P(X > x) =…

A: Given information- We have given that, X is a chi-square random variable. Degree of freedom, df = 11…

Q: The PDF of a random variable X is given by ƒx (x) = 4x (9 — x²)/81, 0≤x≤3. Find the mean, variance…

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Q: The probability distribution of X is given as: f(x) = { 0.4; x = 1 (x-1)/4; 1 < x < 2 (3-x)/4; 2…

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Q: The probability that a sample variance of size 11 taken randomly from a normally distributed…

A: Variance = 2× df ∵ chi-square distributionGiven data,Sample size  n = 11 degree of freedom , df =…

Q: The marginal distributions of two random variables X and Y, together with some values of their joint…

A: Solution-: We have following table:   Y=1 Y=2 Y=3 Total X=1 - 0.08 - 0.20 X=2 - 0.32 - 0.80…

Q: The pdf of a random variable X is given by: 1 3 f(x) = + for 0 ≤æ≤2 8 8x Please find P(1 ≤ x ≤ 1.5).…

A: Use the given information.

Q: (i) Find the mean of X (ii) Find the variance of X

A: Given,(i)we calculate the mean of let's calculate the mean:Here we have findoutThe

Q: Given a continuous random variable, X, with the fo What is the mean of X, E(X)? (a) (b) (c)…

A: The probability density function pdf is. f(x)= x/4  , 0&lt;x&lt;2          0    o/w

Q: X is a continuous random variable taking values between 0 and 2. If F(1.5) = 0.70 and P(X<1) = 0.20,…

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Q: (a) A lower bound for P(6<Y <24) (b) the value of k such that P(|Y-15| ≥k) ≤ 0.09.

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Q: Let X denote the number of VCRs sold during a random week by a certain store. The probability…

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Q: A shop receives a shipment of 1000 cheaply made lamps. The probability that any individual lamp is…

A: Let X be the number of defective lamps in the batch of 1000 which follows binomial distribution with…

Q: A production line manufactures 1000-ohm resistors that have 10% tolerance. Let X denotes the…

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Q: The marginal distributions of two random variables X and Y, together with some values of their joint…

A: Solution-: We have following table:   Y=1 Y=2 Y=3 Total X=1 - 0.21 - 0.7 X=2 - 0.09 - 0.3…

Q: The probability distribution for the number of automobiles sold during a day (x) at Bob Iron Motors…

A: x f(x) 0 0.001 1 0.007 2 0.034 3 0.099 4 0.188 5 X 6 0.220 7 0.136 8 0.055 9…

Q: table in such a way that X and Y are dependent random variables. Y= -3 Y=-1 Y=0 X=-2 0.01 0.10 X=-1…

A: Given that ; A discrete two dimensional random variable table is given  By using marginal formula…

Q: et X be the number of times the outcome 3 comes up in 40000 throws of a fair astragalus. (You can…

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Q: x < 0 0 < x < 1 F (x) 3x 2 1

A: Let x be the Continuous random variable having cumulative distribution function F(x)

Q: The probability that a sample variance of size 11 taken randomly from a normally distributed…

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Q: P(X≤1/8)= ? P(X>5/6)= ? P(0.14≤X≤0.46)= ?

A: