If a random variable X has the gamma distribution with a= 2 and ß= 1, find P(2.5
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A: Note: Since you have posted a question with multiple sub-parts, we will solve first three subparts…
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A: here mean = 46 standard deviation = 5
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A: Solution: ut x1 x2 , x3 iid ~N(u=0, α2=1) ut Y1 = x1 +δ x3 & y2= x2+δx3…
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A: Solution: From the given information, X follows normal distribution with mean µ=14 and variance…
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A: Each element of the random sample have mean 0 and variance 1.
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A: X~N( μ , ?)μ=31 , ?=4Z-score =( x - μ )/?NOTE:- According to bartleby guidelines expert can solve…
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A: Given: μ=2.0σ=0.7α=1%=0.01x¯=2.55
Q: If a random variable X has the gamma distribution with a = 2 and B = 1, find P(1.8 <X< 2.4). O0.2315…
A: Solution
Q: Let x be a random variable that represents micrograms of lead per liter of water (µg/L). An…
A: Given Information- Population mean, μ = 2.0 µg/L Sample mean, x-bar = 2.57 µg/L Sample size, n = 10…
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A: Given: μ = 12 σ = 2.4 n = 9
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A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…
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A: We have given that Sample size n = 17 Sample mean = 13 Standard deviation = 2.1 Degree of freedom…
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A: According to the given information, we have Mean = 98.2 Standard deviation = 3.2
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A: X follows Binomial distribution then the probability mass function of X is PX=x=nx px 1-pn-x, x=0,…
Q: If a random variable X has the gamma distribution with a = 2 and ẞ= 1, find P(1.7<X<2.3).
A: P(1.7<x<2.3)=16.24%Explanation:Given: X has a gamma distribution withα=2β=1 Probability…
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Q: Suppose that X is a normal random variable with a mean of μ = 140 and a standard deviation of a =…
A: Mean=140, Standard deviation=10
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A: The provided information is as follows:The is normally distributed.The mean is .The variance is .
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Q: Let x be a random variable that represents micrograms of lead per liter of water (µg/L). An…
A: Givena)Population standard deviation σ = 0.7 µg/L.Population mean value of x μ = 2.0 µg/L.Sample…
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A: It is given that the mean and variance are 0 and 1.
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Q: If X represents a random variable coming from a normal distribution with mean 5 and if P(X > 6.4) =…
A: P(X>6.4) = 0.38 Mean = 5 P(5<X<6.4) = ? when X = 0.5; Z = 0 (which is the center…
Q: Let X be a random variable with Normal distribution, mean = 16, sd = 2. Find the value of x such…
A: From the provided information, Mean (µ) = 16 Standard deviation (σ) = 2 X~N (16, 2)
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Q: Suppose X has a standard normal distribution. Find the distribution of Y= X2/2
A: Solution-: Suppose X has a standard normal distribution. Find the distribution of Y=X22
Q: Suppose x is a normally distributed random variable with μ=33 and σ=9. Find a value x0 of the random…
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A: given data poisson distributionλ = 7.4x = 5for poisson distributionP(x=X) = e-λλxx!
Q: Suppose A and B are two events. If P(A)=0.5, P(B)=0.4, and P(AUB)=D0.8. Then find the P(ANB)?
A: Note : Since you have asked multiple questions, we will solve the first question for you. If you…
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A: Since n = 100 is large X can be approximated to normal distribution with parameters.
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- Let 0< a< 1. For a normally distributed variable, show that 100(1 - a)% of all possible observations lie within za/2 standard deviations to either side of the mean, that is, between µ - za/2 • σ and µ + za/2 • σ.Suppose that random variable X follows a normal distribution with mean 20 and standard deviation 10. Let Y=10-2X. The probability P(5sY<15) is closest to O 0.2417 0.4995 0.4332 O 0.0279 O 0.1915Suppose that X has a Weibull distribution with β = 2 and δ = 2400. Determine the following. a. P(X > 5000) = b. For an exponential random variable with the same mean as the Weibull distribution P(X > 5000) =
- The random variable X is described by using the gamma distribution with α = 5 and λ = 1. Find the standard deviation of X.Suppose X is a normal random variable with mean u = 17.5 and o = 6. A random sample of size n = 24 is selected from this population. a. Find the distribution of b. Find P(X < 14) and P(X < 14) Find P(15Let X1, . . . , X7 independent random variables with exponential distribution of parameter λ = 2. What distribution has the next sum?Suppose X is a normal distribution random varible with u=33 and o=9. Find the value of xo of the random variable x for parts a, b, c, and, d.The random variables X is the best described by a normal distribution with = 30 and a = 6. Find the z-score that corresponds to the following X values.:1. X = 212 X = 26.5Let X have beta distribution with a = 2 and B = 3. Then the mean and the variance of X, respectively, are Select one: O a. 0.04 and 0.4 O b. 0.02 and 0.04 O c. 0.4 and 0.04 O d. 0.4 and 0.20SEE MORE QUESTIONS