The probability distribution of the discrete random variable X is given below. 3 QO' 8 f(x) = X Find the mean of X. 3-x x , x = 0, 1, 2, 3. The mean of X is (Tyne an integer or decimal rounded to three decimal places as needed)

Q: The random variables are x and y. The mean and standard deviation is: x is 12 and 5 y is 10 and 2 Of…

A: Given, X and Y are two random variables ,Where ,Mean of X , E(X) = 12 Standard  deviation of X ,…

Q: Let x be a random variable that represents the weights in kilograms (kg) of healthy adult female…

A: Given, Then x has a distribution that is approximately normal with mean = 62.0 kg and standard…

Q: Let x be a random variable that represents red blood cell (RBC) count in millions of cells per cubic…

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

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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:

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Q: Q/ The probability distribution of random variable X is: 3. P(x) 0.1 0.3 0.5 0.1 iTY-X+2X Find: 1.…

A: Given Y= X2+2X So we find Y for every X X 0 1 2 3 Y 0 3 8 15 P(Y) 0.1 0.3 0.5 0.1

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A: Solution-: Given: n=18,p=0.457 We want to find P(X=2)=?

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Q: given the probability function p(x)= 5-x/ 10 for x=1,2,3,4 find the mean and standard deviation

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Q: Let x be a random variable that represents red blood cell (RBC) count in millions of cells per cubic…

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

Q: Snowfall for a location is found to be uniformly distributed between 70” and 150”. What is the…

A: Given Data: Let X represent the snowfall for a location X~ Uniform (70, 150)   where, a=70 b=150

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A: Here, the given context follows negative binomial distribution with k = 10 and p = 118 (probability…

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

A:

Q: Let x be a random variable that represents red blood cell (RBC) count in millions of cells per cubic…

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Q: 16. (BONUS) Use Chebyshev's Theorem to find the following probability. If u = 5, o? = 9. Assume x…

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

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Q: If X is exponentially distributed with a mean of 3, can you find a uniform distribution U[a,b] with…

A: The provided information is as follows:The  is exponentially distributed with the mean 3..The mean…

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A: We have to find given probability.

Q: If a random variable X ∼ Exponential(1). Find the distribution of Y = X/λ.

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Q: A random variable X has only two values a and b with P(X = a) = p , P(X = b) = q (p + q = 1). Find…

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Q: Let X is a Gaussian random variable with zero mean an variance o · Y = X. Find mean of Random…

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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<80)=?

Q: The discrete probability distribution is given by i. ii. iii. x P(X = x) 0 0 1 k Show that k Find…

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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…

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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: The life of a semiconductor laser at a constant Power is normally distributed with mean of 488 hours…

A: Given: Mean (μ)=488standard deviation (σ)=208

Q: The random variable Z has the probability distribution shown below If  E(Z) =4 2/3find the values…

A: Given Information: The probability distribution of the random variable Z is given as: z 2 3 5 7…