Q4:Let X be a continuous random variable with distribution ==kif 0≤x≤8 f(x): elsewhere 1. Find P (2 ≤ X≤ 5), P (3 ≤ X≤ 7) and P (X≥ 6) 2. Determine and plot the graph of the cumulative distribution function F of X

Q: Let X be a continuous random variable with the cumulative distribution function ja x≤1 ja 12 Find…

A: given data cdf : F(x) = 0x≤112(x2-x)1<x≤21x>2  we have to find expected value of random…

Q: If X is a continuous random variable with the uniform distribution on [0,1], then what is P[X = .5]?…

A: We have given that X is a continuous random variable with the uniform distribution on [0,1].

Q: Let XX and YY be independent random variables. Suppose ~Pois(1), Y~Pois(2) and W = X + Y. a)…

A: If X and Y are independent then P(X=x,Y=y)= P(X=x)*P(Y=y)

Q: I have an unfair coin for which P(H) = p, where 0 < p < 1. I toss the coin repeatedly until I…

A: The coin is unfair and the probability of getting a head (success) is PH=p, where 0&lt;p&lt;1.…

Q: Assume a continuous random variable X has a continuous uniform distribution between 35 and 48. Find…

A: given data  x is uniform distribution between 35 and 48 P(38&lt;x&lt;50) = ?

Q: If X is a random variable having a uniform distribution U (a,b) such that P(20<X<40)=D0.2 and mean…

A:

Q: Let X be a continuous random variable. Prove Var(X) > 0.

A: Solution:- Given that let X be a continuous random and prove that Var(X) &gt; 0.

Q: Consider a random variable X with the Fishes distribution F(3,68). Find P(1.3 < X <2.6).

A: Given  X~F(3,68) P(1.3&lt;X&lt;2.6)= ?

Q: Use the uniform distribution function U(10, 20) to find the theoretical probability that the random…

A: Given Data Lower limit,a = 10 Upper limit,b = 20

Q: b) Let X be the random variable with the cumulative probability distribution: 0, x < 0 W F(x) = kx²,…

A:

Q: If X is a continuous random variable with the uniform distribution U(5.5,20.5), what is P(X<8)?

A: X is a continuous random variable with the uniform distribution U(5.5,20.5). a = 5.5 and b = 20.5

Q: let X be a random variable and X is normally distributed

A: Given information:  μ=35 and σ=4

Q: d) If probability density functions of a random variable x is f(x) = {X² for-1≤x≤1 for any other…

A: f(x)=x2 ; -1≤x≤1

Q: Let X be a discrete random that takes values from the set {-2,0,2} where P(X=x)= { 1/5 if x=-2 3/5…

A: From the given information we want to graph graph of cumulative distribution function.

Q: If 90% of the athletes who test positive for steroids in fact use them, and 10% of all athletes use…

A:

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

A:

Q: Let X₁, X2, X3, X4, X5 be an independent and identically random variables following a Binomial…

A:

Q: Let T t(7), then the distribution of T is distribution.

A: Given,  T~t(7)

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 cumulative distribution function for a continuous random variable X is given by Fo=f F(x) = Find…

A:

Q: Let X have a uniform distribution on the interval (1, 6). Find the probability that the sum of 2…

A:

Q: Let the distribution function of a random variable Y be 0. y≤ 0 F(y) = 2100 2, 0<y<2₂ 5 2≤ y ≤ 4, 16…

A: given data  F(y) = 0y≤0y80&lt;y&lt;2y2162≤y≤41y≥4 (a) P(1≤Y≤3) = ?(b) P(Y≥1.5) = ?

Q: Find the set An U. U={1, 2, 3, 4, 5, 6, 7, 8, 9, 10} A= {4, 8, 9, 10} Select the correct choice…

A: U=1,2,3,4,5,6,7,8,9,10A=4, 8, 9, 10

Q: 2. The consumer taste evaluation of a certain microwave dinner (on a continuous scale 0-10) X has…

A: (a) The probability that the next consumer will evaluate the dinner between 5 and 8 is 0.375 (or…

Q: Consider the probability distribution for the number of red pens when 4 pens are selected at random…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Y)~ N₂(4, 5, 9, 4,-0.5). What is the conditional distribution of Y given X = 1?

A: Given that  (X,Y)~ N2(4,5,9,4,-0.5) Where μ1=4 , μ2=5 ,?12=9 , ?22=4 And ρ= -0.5 So follow normal…

Q: Let X1, ... , X49 be a random sample of 49 independent and identically distributed uniform…

A: Given that X1,X2,....X49 be a random sample of 49 independent and identically distributed uniform…

Q: The distribution function of the continuous random variable X is given below: Which of the following…

A: Option D is answer p[y&lt;3]=1/6

Q: Suppose the cumulative distribution function of the random variable X is 0 x < 0 F(x) = = { 0 < x <…

A:

Q: Suppose that the random variableX has the continuous uniform distribution í 1,0 < x < 1 0, otherwise…

A: Given that: The probability density function of random variable X is given as: fx=1,   0≤x≤10,…

Q: Determine P(1<XS 3) from the cumulative distribution function of X. (0, 1/4, F(x)=1/2, 3/4, 1, x <…

A:

Q: Suppose that X1, X2,..., X, constitute a random sample from a uniform distribution in the interval…

A: Given: X1, X2,......,Xn constitute a random sample from a uniform distribution in the interval…

Q: The joint space for two random variables X and Y and corresponding probabilities are shown in table.…

A:

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

A:

Q: If the random Variable x has a uniform distribution the interval [0,5] on Find P(2<XS4).

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Q: Example the p.d.f. Ax) = 2/x', 1 < x < ∞, zero elsewhere. The distribution function of X is Let the…

A:

Q: :Let X be a continuous random variable with distribution Kif f(x)= { 0≤x≤8 elsewhere 1. Find P (2 ≤…

A: f(x)  = 1/8  if 0&lt;=x &lt;=8,  0 otherwise

Q: Let X and Y be two independent random variables distributed uniformly on the interval [0, 1]. What…

A:

Q: Say we have a continuous random variable X. Let f(x) = 3x²2 for support = [0,1]. What is…

A:

Q: The continuous random variable X has a U (-6, 6) distribution, i.e. uniformly distributed between…

A: We have given that  X~U( -6 , 6) a = - 6    , b= 6   P (-3 &lt; X &lt; 1)= ?

Q: a) Find F(0) b) Determine P(X≤3) c) Determine P'(X≤4) d)Determine P'(5)

A: