Q4: Let X be a discrete random variable with probability mass function given in the following table: 2 P(X) C 2C 3C 3C SC Find 1- Value of C. 2-Probability mass function describing the distribution of X. 3- Cumulative distribution function. 4- Mean and variance. 5- Standard deviation.

Q: Let X be a normally distributed random variable with mean 600 and variance 10,000. Find two values A…

A: Given Information Mean µ = 600 Variance V(x) = 10000 Standard deviation is given by

Q: Q4: The probability mass function of a discrete random variable X is given by the following table: X…

A: Given that  Probability mass function of X  X 1 2 3 4 5 6 P(X) 1/36 3/36 5/36 7/36 9/36 11/36…

Q: X is a random variable having a probability distribution with a mean/expected value of E(X) = 26.1…

A:

Q: Let X be a discrete random variable with the following probability distribution -3 6 P(X=x) Find…

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Q: Let X be a random variable with a mean equal to 100 and a standard deviation equal to 15. Let…

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Q: Suppose that X and Y are independent random variables having the joint probability distribution:…

A: Joint Probability Distribution: Let there are two random variables X and Y. Then the joint…

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

A: Variance formula is:

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

Q: Q4: The random variable X has the probability distribution shown 1. 3 4 P(X = x) 7c 5c 4c 3c (1)…

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Q: The discrete random variable X is the number of students that show up for Professor Jones' office…

A: We have given that, X is a discrete random variable i.e. number of students.   The probability…

Q: Let X be a random variable with a mean of 50 and a variance of 64. Find: i. P(x< 52) ii. P(35 < X <…

A:

Q: Let X1, X2, X3... X20 be a random sample from a distribution with mean 8 and variance 5. Find the…

A:

Q: Find the Mean of f(x), where f(x) = 6X+6. The probability distribution of a random variable X ; if X…

A: Mean is an average value around which the whole data set is concentrated.…

Q: The probability distribution of the discrete random variable X is   Find the mean and variance of…

A: There is slightly mistake in the probability distribution.  It should be, P(X=x) = 3x14x343-x Which…

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

A: Solution

Q: Let y be a normally-distributed random variable with mean u= 100 and variance 2 = 16: Select which…

A: We know If random variable X ~ N(a, b2) where mean(x) = a, standard deviation(x) = b.  then,  P(a-b…

Q: Let X be a random variable that can take the values 2, 9, or 13. And let f(x) be its probability…

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Q: The random variable X has a probability distribution with mean 3 and variance 9 and the random…

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Q: The annual sales of dealers of a company follows the normal distribution with its mean as K94. A…

A: Given Mean=94 Variance=81

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: Let X be a random variable with the following probability |-6 3 9 distribution: 1 f(x) 4 1 1 2 4…

A: Given X is random variable with the probability distribution: x -6 3 9 f(x) 14 12 14 and…

Q: deviation. Draw a graph of this probability distribution. 2 = 2.1 Round the probability to four…

A:

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…

Q: Let X be a binomial random variable with a mean of 0.5 and a variance of 0.45. Find P(x is greater…

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Q: probability distribution and has a mean value of 25 and a variance of 9. Calculate: i. P(X > 26)…

A: Given that  Mean = M =  25 , Variance = V = 9 , Standard deviation = SD = 3

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

A: Given data: Mean = 70 Variance = 25 To find: P (x &lt; 80 ) = ?