A discrete random variable X has the cumulative distribution function given by the following diagram. Find P(X<= 2) and P(X=2) * if x = 1, 2, 3 F(x) 9. %3D otherwise. O 3/9 and 2/9 7/9 and 3/9 5/9 and 2/9 O 4/9 and 3/9

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A: We have given that  Cumulative distribution function ( CDF) F(x) = cumulative distribution function.…

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A: Given,FX(x)=0; x≤13-3x; 1&lt;x≤a1; x&gt;a

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Q: The cumulative distribution function for a random variable X is given by: (1-e for x20 F(x)={…

A:

Q: The continuous random variable X has a cumulative distribution function F(x) given by: x 2. Find…

A: The CDF of X is given by, Fx = 0x&lt;1kx4+x2-21≤x≤21x&gt;2 Now, X is continuous random variable. So,…

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

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A: From the given information, the joint probability mass function for X and Y is,

Q: 1. Suppose the cumulative distribution function of the random variable X is Determine the following:…

A: Thank you for posting the question. As your question has more than 3 parts, as per the policy, we…

Q: The following graph shows the cumulative distribution function (cdf) Fx of a random variable X. 1.0…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

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A: We have given that the cumulative distribution of discrete random variable X.

Q: et X be a discrete random variable with P(X = -2) = .1, P(X = 1) = .15, P(X = 2) = .4, P(X = 4) =…

A:

Q: 1. Let X be a random variable that follows the Poisson distribution with a mean of 6. Find: a.…

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Q: Suppose the cumulative distribution function of the random variable X is 0, x - 1.5) = i c) P(X <-…

A: Given Information: The cumulative distribution function of random variable X is:…

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A: Since the question has multiple sub parts we will solve the first part only. Please resend the…

Q: a. A random variable X has the following probability distribution: 0 x 18 5 x 18 10 x 18 15 x 18 20…

A: Given, X 0 90 180 270 360 450 P(X=x) 0.1 2m 0.2 0.1 0.04 0.07 Here,…

Q: Suppose that the cumulative distribution function of the random variable X: [o F(x) = {0.25x + 0.5…

A: Solution

Q: The cumulative distribution function for a random variable X is given by: for x20 F(x)= otherwise…

A: Now calculate probability value between 3 to 4.  So, use the formula is, FXx=PX≤x…

Q: A continuous random variable Y has cumulative distribution function (cdf) F(y)=y* „for 0 < y< 1 Find…

A: From the provided information, The cumulative distribution function is as follow: F (y) = y4

Q: 2. Suppose the cumulative distribution function of the random variable X is Determine the following:…

A: Thank you for posting the question. As your question has more than 3 parts, as per the policy, we…

Q: Suppose the cumulative distribution function of the random variable X is 0, x -1.5) = c) P(X <- 2)…

A:

Q: . The cumulative distribution function of a discrete random variable X is x< 0 1 0 <x<1 3 7 F(x) = |…

A: From the given information, Fx=0       x&lt;013    0≤x&lt;1712    1≤x&lt;21724    2≤x&lt;31…

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

A:

Q: 4. For a Poisson distribution X~P(A) (A > 0), which one of the following values does equal to? A. 1…

A: The probability mass function of X is, The mean of X is

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Q: Suppose that X is an exponential random variable with mean 5. (The cumulative distribution function…

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Q: a. A random variable X has the following probability distribution: 0 x 18 5x 18 10 x 18 15 x 18 20 x…

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Q: Let X be a discrete random variable with the following cumulative distribution function x<0 F) =…

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Q: 6. A discrete random variable X has a cumulative distribution function, f as follows. 0, 3c, 2sx<4…

A: The probability distribution is fx=0,    x&lt;23c,   2≤x&lt;45c,   4≤x&lt;67c,   6≤x&lt;81,  x≥8…

Q: The following is a probability distribution function for X, with range 0, 1, 2, P(X = 0) = 0.3 P(X =…

A: The probability distribution is given by X 0 1 2 3 P(x) 0.3 0.3 0.2 0.2

Q: The continuous random variable X has a cumulative distribution function F(x) given by: x 2. Find…

A: The probability distribution function is the derivative of the cumulative distribution function.

Q: 1. Let X be a discrete random variable with the cumulative distribution function 0. for x 3 (a) Find…

A: CDFF(X)=0         X&lt;-218     -2≤X&lt;112       1≤X&lt;234        2≤X&lt;31          for…

Q: 1. Suppose the cumulative distribution function of the random variable X is x 1.5) c. P(X 6)

A:

Q: Suppose X is a discrete random variable with pmf f (x) as shown in the table: 4 1 2 3 16 4 12 18…

A: We have given the values of X and corresponding pmf

Q: X is a discrete random variable with the probability distribution function: k Pr[X = k] 4 1 12 2 2…

A:

Q: . The cumulative distribution function F of a discrete random variable X is given by Find the…

A: Introduction: If the cumulative distribution function (cdf), F (x) of a discrete random variable, X…

Q: The cumulative distribution function of random vartable X is x 1. Fx (x) = 1 Find: P(Xs1)And P(X=1)

A: P(X≤1)=FX(1)=1 [from the last row of the function]

Q: 3. Suppose that X is a discrete random variable with probability mass function (pmf) as summarized…

A:

Q: If a random variable that follows exponential distribution shows that P(X2000)=0.4, Then P(30002000)…

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Q: A discrete random variable Y has the probability function as given below. Y -2 2 4 P(Y) 0.25 0.50…

A: In the given table  We have  P( -2)= 0.25 P(2)= 0.50 P(4)= 0.25 As per the rule of probability…

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Q: 1. Suppose the cumulative distribution function of the random variable X is x 1.5) c. P(X 6)

A: Solution: Note: Hello! As you have posted more than 3 sub parts, we are answering the first 3…

Q: Suppose that the cumulative distribution function of the random variable X: [o F(x) = {0.25x +0.5…

A: We have given that,  Let X be random variable from cumulative distribution.  Then,  We will find the…

Q: A continuous random variable X has the cumulative distribution function: x 4 Find the interquartile…

A: Introduction: The formula for the interquartile range or IQR is: IQR = Q3 – Q1; Where Q1 is the…

Q: Given the cumulative distribution function of a discrete random variable X: x< 0.2 0.2 0.2 s x< 0.4…

A: Farmula used  P(a&lt;X≤b)=F(b)-F(a)  P(X=a)=F(a)-F(a_)

Q: The cumulative distribution function for a random variable X is given by: e* for x20 F(x)= otherwise…

A: Solution: The cumulative distribution function of random variable X is  F(x)=P(X≤x)=1-e-2x…