the probability
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- Variance of a uniform probability distribution is Var(X)=(a-b)^ 2 /12 where b>a True FalseContinuous random variables can assume infinitely many values corresponding to points on a line interval. True FalsePDF = f(x) 2/x^3 for x>1 Question: - what is Probability ... P(x<4 or x>8)? - x such that P(X>x) ?
- The variance for the binomial probability distribution is var(x) = P(1 - P) var(x) = nP var(x) = n(1 - P) var(x) = nP(1 - P)P (X) = x / 10 if, X = 1, 2, 3, 4 is a probability distribution for the random variable X. True or false?QI\ A/ Consider a discrete random variable X whose pmf is given by: Find: 1- E[ X ] and Var( X )? f(x) = 2- standard deviation of X? B/ Let X be a binomial random variable with parameters n=6, p=0.4. Compute x=-1,0,1 otherwise Fx (4) ?
- a discrete probability distribution is defined by the function P(X = x) = (x^2 + x) / 20 ; x = 1, 2, 3 a) use this information to fill in the second column in the table. The additional columns are for you to use as needed when finishing other parts of this problem. There may be an extra column. x P ( X = x) 1 2 3 total b) describe how you can determine that the algebraic function does indeed define a discrete probability c) use another column on the table as needed to find the mean, also known as the expected value d) Use another column on the table as needed to find quantities needed to calculate the standard deviation.g(X)=x^2+1 A=5 X ~ exp(1) E [g (X) | {X> 3}] conditional expected Calculate the value.Determine whether the random variable is discrete or continuous. In each case, state the possible values of the random variable. (a) The number of people in a restaurant that has a capacity of 100. (b) The time it takes for a light bulb to burn out.
- For each random variable defined, describe the set of possible values for the variable, and state whether the variable is discrete or continuous. (a) U = number of times a surfer has to paddle in front of a wave before catching one (b) X = length of a randomly selected angelfishExpected value of X^khelp please in Statics and probabilty Q/The time between calls to a corporate office is exponentially distributed with a mean of 10 minutes.(a) What is the probability that there are more than three calls in one-half hour?(b) What is the probability that there are no calls within one-half hour?(c) Determine x such that the probability that there are no calls within x hours is 0.01.(d) What is the probability that there are no calls within a two-hour interval?