Calcule: P(X≤13)=? P(X>36)=? P(0.31≤X≤

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

A: Given: Mean of X μ=97.9 Standard deviation of X σ=5.4 X~N97.9, 5.42

Q: A discrete random variable x follows uniform distribution and takes the values 6, 8,10, 12, 18. The…

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Q: Let x be a continuous random variable with a standard normal distribution. Using the accompanying…

A: For standard normal distribution mean=0, standard deviation = 1

Q: If X is a continuous random variable with mean μ and standard deviation σ, what is the probability…

A: Answer: Approximately 68% of the values of X are expected to lie between μ - σ and μ + σ. This is…

Q: Let X be a normally distributed random variable with finite expectation u and variance o. Let X be…

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Q: sider the continuous random variable x, which has a uniform distribution over the interval from 20…

A: given data, the continuous random variable xuniform distribution over the interval from 20 to 28we…

Q: Let X be a geometric random variable with parameter p = 0.1 and range space x 1 Evaluate th habilib:…

A: Let X be the geometric random variable with parameter p=0.1 PX=x=1-px-1p, x=1,2,3,...…

Q: Pr(X%3х аnd Y-у), Pr(X = x|Y = y) = Pr(X=x)

A: We have given that the discrete conditional distribution formula.

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

A: Solution: Let  X be the full height of certain species of tree has a normal distribution with mean…

Q: A random variable X has a Poisson distribution with mean 1.6. Find: i. P(X=2) ii. P(2<X<4) iii.…

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Q: X denotes a binomial random variable with parameters n and p. For each exercise, indicate which area…

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Q: When mean number μ of Atlantic hurricanes per year is given: μ=7.2 Find the probability that in a…

A: Give, X= number of Atlantic hurricanes X follows a Poisson distribution with μ=7.2

Q: Consider a population with mean u = 50 and standard deviation o = 4. Let X1,X2, ... ,X10 be a random…

A: Given: Mean μ=50. Standard deviation σ=4 Determine the expected value of Standard deviation  using…

Q: A random variable x can have five values: 0, 1, 2, 3, 4, 5. The probability distribution is:   x 0…

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Q: Let X be a continuous random variable with uniform distribution, and with A = 24, B = 99. What is…

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Q: Let random variable X have a normal distribution with =810 and a=95. Find the number a such that…

A: given data normal distributionμ = 810σ = 95P(810-a&lt;x&lt;810+a) = 0.762a = ?

Q: (e) P(1.62 ≤ x ≤ a) = 0.24 a = 2.34

A:

Q: The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0…

A: Let us denote X=The lengths of a professor's classes Given that X follows a continuous uniform…

Q: able Z follows a standard distribution, find p(-1.2<Z<1.2)

A: USe standard nomla table to find the rporbabiloities corresponding to the given z values.

Q: Let X have a Poisson distribution with variance 2. Then the mean of 3X is Select one: O a. 6. O b.…

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Q: Discrete probability distribution (ii) Expectation (iii) Variance (1)

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Q: ppose that a random variable X has the uniform distribution o tegers 10,..., 20. Find the…

A: Given Total samples =11(10,11,12,13,14,15,16,17,18,19,20) Even number=10,12,14,16,18,20

Q: For the random variable Z follows a standard distribution, find P(-1.2<Z <2.1)

A: Given data: For the random variable Z follows a standard distribution, To find ; P(-1.2&lt;Z&lt;2.1)

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

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Q: 3 f(x) = + for 0 < x≤2 8z 8⁰ 1 Please find P(0.5 ≤ x ≤ 1.5). 0.17 0.609 0.5 0.68

A: Let x be the random variable having probability density function is,  f(x) = 1/8 + (1/3)×x

Q: The binomial distribution is used when there are exactly two mutually exclusive outcomes of a trial.…

A: Suppose a random variable X, defines that the number of occurrence of heads.

Q: Let X be a continuous random variable with uniform distribution, and with A = 36, B = 81. What is…

A: GivenA random variable X~U(36,81)f(x)=181-36f(x)=145    ;   36≤x≤81

Q: A city metro train on the black line runs every 6 minutes during the time between 10 am and 12 pm.…

A: Note : Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

Q: If X is a random variable with any continuous distribution, explain why P(X<x)=P(X≤x).

A: The probability density function (pdf), for every continuous random variable X, provides the…

Q: When v, = 2, show that the significance level of F corresponding to a significant V2 probability p…

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Q: (e) P(1.62 ≤ x ≤ a) = 0.24 a = 2.24

A: From provided information:X~U [a=2, b=5]For uniform distribution, the probability density function…

Q: The cumulative distribution function of the continuous random variable X is given by: Image.…

A:

Q: Let the random variable X follows binomial distribution with parameters 14 and 5/12. Find P(X…

A: It is given that X follows a binomial distribution with n=14 and p=5/12. The PMF of the binomial…

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

A: Independent event : The events  A and B are independent  if P( A and B ) = P(A)*P(B)

Q: The probability of getting a cracked egg at the grocery store is 15% (p = 0.15). In this binomial…

A:

Q: The cumulative distribution function of the continuous random variable X is given by: image.…

A: