find the expected value and the variance of the number of times one must throw a...

find the expected value and the variance of the number of times one must throw a die until outcome 1 has occurred 4 times. This is the negative binomial distribution

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orchestra answered 1 year ago

a) On the throw of a fair die, the expected value of the number showing is...

a) On the throw of a fair die, the expected value of the number showing is 3.5 and the standard deviation is 1.71. What is the expected value and standard deviation of the sum of the values from the throw of a pair of dice b) Suppose Y1 and Y2 are independent, Var(Y1) = Var(Y2) = σy2 and Z1 = Y1+Y2 .What is Var(Z1)? How does this compare to the result found in part a)? c) Generalize the previous results....

The probability of success in Bernoulli is 0.7. Find the expected value and variance of the...

The probability of success in Bernoulli is 0.7. Find the expected value and variance of the number of failures until the ninth success. (The problem is to find the mean and variance of the number of failures in the negative binomial distribution given the Bernoulli probability of success.)

Toss 5 coins 25 times and note on each throw the number of heads. Make a...

Toss 5 coins 25 times and note on each throw the number of heads. Make a probability distribution of the number of heads. Find mean and variance of that distribution and compare it with the mean and variance of theoretical probability distribution using binomial probability distribution.

f(x) = 3e −3x x > 0 0 otherwise. Find the expected value and variance of...

f(x) = 3e −3x x > 0 0 otherwise. Find the expected value and variance of the random variable.

We throw a die independently four times and let X denote the minimal value rolled. (a)...

We throw a die independently four times and let X denote the minimal value rolled. (a) What is the probability that X ≥ 4. (b) Compute the PMF of X. (c) Determine the mean and variance of X.

Give the expected value, variance, and probability distribution for the sum of a fair coin and...

Give the expected value, variance, and probability distribution for the sum of a fair coin and a random real number chosen uniformly in the range [ -1, 1]. Sketch the PMF.

18. The spending variance measures a. the difference between expected expenditures for the actual number of...

18. The spending variance measures a. the difference between expected expenditures for the actual number of outputs and the expected expenditures for the planning budgeted number of outputs b. the difference between expected expenditures for the actual number of outputs and the actual expenditures for the actual number of outputs. c. the difference between budgeted expenditures and actual expenditures for the planned number of outputs. d. what the costs and revenues should have been for the budgeted number of outputs....

Explain the importance of covariance and correlation between assets and understanding the expected value, variance, and...

Explain the importance of covariance and correlation between assets and understanding the expected value, variance, and standard deviation of a random variable and of returns on a portfolio.

Find two positive integers such that the sum of the first number and four times the...

Find two positive integers such that the sum of the first number and four times the second number is 100 and the product of the numbers is as large as possible. please double check answer

expected value and variance for the described distribution? 5. Suppose that a box contains five red...

expected value and variance for the described distribution? 5. Suppose that a box contains five red balls and ten blue balls. If seven balls are selected at random without replacement, what is the probability that at least 4 red balls will be obtained? Let X denote the proportion of red balls in the sample what are the mean and variance of X?

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