Let X be the random variable with the cumulative probability distribution: x < 0 F(x)=kx², 0 < x < 2 1, x≥2

Q: Let the probability function of the random variable X be defined as f(x)=1/(2(1+∣x∣)²). Draw the…

A: From the given information, Consider, the pdf: f(x)=1/(2(1+∣x∣)²) fx={ 121+x2, x≥0      ={121-x2,…

Q: Find the mean and variance of the uniform probability distribution given by f(x)=1/n for x=1,2,3,4……

A: Given pdf is: f(x)=1n    for x=1,2,3,4.....

Q: Let X is random variable which represents life time of a certain computer part . X  is exponentially…

A: Given that,  Mean of exponential distribution is  1/λ = 10 So λ = 1/10 X~ exponential(1/10)

Q: If the random variable X and Y have the joint probability distribution f(x, y) = x+y, 0<x< 1,0 <y<1…

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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: The daily amount of coffee, in liters, dispensed by a machine located in an airport lobby is a…

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Q: Find the distribution function of the random variablethat has the probability distribution f(x) =…

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Q: Suppose X takes the value 1 with probability P, and the value 0 with probability (1-P). The…

A: Variance formula is:

Q: Let X be a random variable with expectation E(X)=10 and variance var(X)=5. Which lower bound does…

A: Let 'X' be the any non-negative random variable having mean E(X) and Variance Var(X) then…

Q: The waiting time, in hours, between successive speeders spotted by a adar unit is a continuous…

A: Solution

Q: Find the distribution function which corresponds to the probability distribution defined by f (x) =…

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Q: а. Р(Х <- 2) b. Р(-1 <х < 1)

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Q: Find the mean and variance for the probability distribution given by f(x)= 2x k(k+1)* -,x=1,2,3,...k

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Q: The random variable x follows a uniform probability distribution in the interval (0,1); the…

A: We know that  The pdf of Uniform distribution is  f(x) = { 1/(b-a) ,   a&lt;x&lt;b                0.…

Q: Bear weight loss during hibernation is extreme. Male black bears will typically drop between 12 to…

A: According to the given information, x~Ua=12, b=32   Compute the probability density function of x…

Q: Find the mean and variance of the uniform probability distribution given by f(x)= 1/n for x = 1, 2,…

A: The given uniform probability distribution is, f(x)= 1n    for x = 1, 2, 3,....., n The mean of…

Q: Let the random variable X fit the binomial distribution with p=1/2 , n=3 parameters. Plot the…

A: Given Data: n=3 p=0.5   Distribution function is also known as cumulative function

Q: A discrete random variable X has the mean 6 and variance 2. If it is assumed that the distribution…

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Q: Show that there are no values of c such that f(x) = cx can serve as the values of the probability…

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Q: Time spent by students studying daily is a uniformly distributed random variable with mean = 136…

A: Solution: 1. Let X be the time spent by students studying daily. From the given information, X…

Q: Suppose a basketball player who makes a free throw shot with success 80%. Let X be the number of…

A: From the provided information,Probability of success (p) = 0.80n = 5

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

A: The concept of probability is an essential tool in many fields, including statistics, economics, and…

Q: Assume that X donotos the continuous random varlable with probability distribution of y & (A) and…

A: Basic probability

Q: Let the random variable x have a normal distribution with a mean value of 70 and a varience of 25.…

A: Given data, Mean      μ=75 Variance σ2 =25 sd          σ=5 P(X&lt;80)=?

Q: Let X represent a continuous random variable with a Uniform distribution over the interval from 0 to…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: The probability distribution of the discrete random variable X is 3-x x = 0,1,2,3. .4, Find the…

A: Solution-: We have the p.m.f. of X is given by,  f(x)=3x*(14)x*(34)3-x f  ;  x=0,1,2,3;   We find…

Q: A random variable X follows a uniform continuous distribution on the range [0, B]. Use mathematical…

A: Uniform distribution: A continuous random variable X is said to follow Uniform distribution if the…

Q: function: F(x) = 0 ; x 6 Count the value of constant "c" Count the P(X > 4) and P(5 <= X <= 6)…

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Q: Find the mean the of the probability distribution of the random variable if P(X) = x-3/15 for X= 7,8…

A: Formula : μ = E(x) = Σx * p(x)

Q: A random variable Z is normally distributed with mean and variance are 0 and 1 respectively.…

A: Given that the mean is 0 and the variance is 1. Z~Nμ=0,σ=1 We will use the standard normal…

Q: A random variable Z is normally distributed with mean and variance are 0 and 1 respectively.…

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Q: Let the random variable X be normally distributed with mean 6 and variance 4. (A) Find the…

A: Given data: Mean = 6 Variance = 4 Thus, Std. Dev = sqrt(variance) = sqrt(4) = 2