Za Cr²e-X, 0, where A is a positive real number. Find (a) The constant C. (b) The cumulative distribution function of X. (c) The probability P(0 < X < 1/A). (Note: Your answers could be expressions involving A.) x 20, otherwise,

Q: Let X - Unif(0, 2) and Y - Unif(0, 1). Find the probability P(X > Y) that X is greater than Y

A: # Here  given that X~U nia,b       fx =1b-a   '   a≤x≤b  0            ' other

Q: the probability that the first transistor lasted more than one hour

A: Given, To find the value of P(X&gt;1)

Q: kindly write legibly thank you!  Enumerate and explain each briefly the THREE (3) Properties a…

A: Given that  Properties a Cumulative distribution function :  We have to define it's properties:

Q: (d) P(X > 4) = i (e) Determine x such that P(X < x) = 0.85. X = i

A:

Q: aged x: This question relates to the survival function for a life s(x) = e-x/100 (b) Determine the…

A:

Q: You roll a 6-sided die 10 times. Let X be the total value of all 10 dice X = X₁ + X2 + ..+X10 You…

A: To apply the central limit theorem, we need to calculate the mean and standard deviation of the sum…

Q: Ex7: Suppose that X has an exponential distribution with λ = 2. Determine the following: a/ P(X ≤0)…

A:

Q: Suppose the time a child spends waiting for the bus is exponentially distributed with mean 4…

A:

Q: Determine the following probabilities: P(X < 0.5,Y < 1.5) and P(X < 0.5) y f(x, y) -1.0 -2 1/3 -0.5…

A:

Q: Determine the following probabilities: P(X > 0.25,Y 0.25, Y 0.25, Y 0.25, Y <4.5) = 5/8 P(Y <…

A:

Q: JK(x² + y²) f(x, y) = 0 20≤x≤ 30, 20 ≤ y ≤ 30 otherwise (a) What is the value of K? (Enter your…

A:

Q: B- Show that if the following function be probability function: for 0<x< f(x) = -² 124 0 0. W

A: Explanation of the answer is as follows

Q: The current in a certain circuit as measured by an ammeter is a continuous random variable X with…

A: Given that probability density function is  f(x)= 0.075*X+0.2  then approximate value of f(x) at x=…

Q: Find each probability. (a) X ∼ Gaussian (0, 3). Find P[X > 4.5]. (b) Y ∼ Gaussian (50, 10). Find P[X…

A:

Q: Determine the following probabilities: P(X < 0.5,Y < 1.5) and P(X < 0.5) y -2 f(x,y) -1.0 1/3 -0.5…

A:

Q: Given the below probability mass function, find the cumulative distribution function (CDF). NO WORK…

A: x P(x) 4 0.1 6 0.35 13 0.55   we have to find CDF.

Q: X is given in thousands, so payouts range from 0 to $3,000. Find the probability that a policy…

A: X is given in thousands, so payouts range from 0 to $3,000. Find the probability that a policy…

Q: aged x: This question relates to the survival function for a life s(x) = = e-x/100 (c) Determine the…

A: Given,equation relates to survival function for a life aged x is

Q: The probability distribution regarding the usage time (sec) of a communication line providing the…

A:

Q: For a highway, the car's speed has a uniform distribution [50,90]. Cars are stopped if speed X is…

A:

Q: The probability that you will receive a wrong number call this week is 0.1. The probability that you…

A: From the provided information, Let A represent the event that he will receive a wrong number call…

Q: 1. Let f be the probability density function of a continuous random variable X whose range is…

A: Given: fx=x32,    if a≤x≤b0         otherwise

Q: What would be the probability of an event 'G' if H denotes its complement, according to the axioms…

A: We have to choose the probability of an event G if H denotes it's complement, according to the…

Q: Suppose that the probability distribution of X is given by b/4 x=0 1/2+b/24 x=1 P(x)=< 1/12 x= 2 1/8…

A:

Q: Choose two points randomly from the unit interval. Find the probability that both points are closer…

A:

Q: Let probability distribution function of X be defined by x = 0,1, 2, 3. P(x) = %3D otherwise.

A: Given, the probability distribution function of X be defined by…

Q: Suppose we roll 2 six-sided dice. Let X be their sum and Y be the larger value of the two. (a) (10…

A:

Q: PLEASE ANSWER WITH COMPLETE SOLUTIONS ASAP. THANK YOU Let the function be as shown. If the first…

A: We have given that  E1= ( 1,2 ) and E2= ( 4,5 )  And we find  P(E1 ∪ E2) = ?  , and P(E1 ∩ E2) = ?

Q: The annual rainfall in a certain country varies from 0 to 9 inches and is a random variable with…

A:

Q: : Verify that the given function is a probability mass function then determine the requested…

A: As per our guidelines we are suppose to do only three subparts Given function is f(x)=2x+125…

Q: 1. Find the value of c to make f (x) = , x = 2, 3, 4 into a valid probability distribution. Enter…

A: The probability mass function of a random variable is defined on the range of the random variable,…

Q: Let x denote the distance (m) that an animal moves from its birth site to the first territorial…

A: (b) The value of mean is obtained below: From the given information,  Let x be the exponential…

Q: Suppose that you start with an initial fortune of 20 dollars, and you bet one dollar each time. The…

A: a) To show that Xn is a Markov chain, we need to prove that the probability of moving to a…

Q: Question 3 increasing with u(0) = 0. There are two risky assets: A,B. For A, every dollar invested…

A:

Q: Laws. E(x MyLt var (x) when unifurn

A:

Q: if P(A) k,P(B) = k + 0.5 ,P(A N B) = 0.36 where A,B are independent event find k

A:

Q: f(x, y) = 30 for r = 0, 1,2, 3; y = 0, 1, 2, %3D Find: (a) P(X 2, YY ); (d) P(X+ Y = 4). 2. From a…

A: *answer:

Q: 3. Let X, X,, X, be i.i.d. Exp(k) where 2= 1/10,000 hours. Assume X, represents the life of an…

A:

Q: The weekly demand of a slow-moving product has the probability mass function shown to the right.…

A:

Q: Let X have an exponential distribution with 0-1. The probability P 6. <5is equal to

A: Introduction: Given that X is a Exponential random variable with parameter θ = 1. The PDF, fX(x) and…