Calculate the expected value of X, E(X), for the given probability distribution. E(X) = X P(X = X) 10 15 50 20 10 50 30 20 50 40 5 50
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It is given that the proportion distribution of X in tabulation form.
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- P(x) Five males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inherit the X-linked genetic disorder. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. 0.025 1 0.164 0.311 3 0.311 0.164 0.025 4 Does the table show a probability distribution? Select all that apply. OA. Yes, the table shows a probability distribution. B. No, the sum of all the probabilities is not equal to 1. | C. No, the random variable x's number values are not associated with probabilities. D. No, the random variable x is categorical instead of numerical. E. No, not every probability is between 0 and 1 inclusive. Find the mean of the random variable x. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. µ= child(ren)…Let X be a random variable with the following probability distribution. Value x of X P(X=x) 0 0.25 10 0.20 20 0.10 30 0.35 40 0.10 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation E (X) of X . E(X)= (b) Find the variance Var (X)of X. Var (X)=variable with the following probability distribution. Value x of X P=Xx -20 0.10 -10 0.15 0 0.45 10 0.25 20 0.05 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation EX of X . ? =EX (b) Find the variance Var X of X .? =VarX
- Let X be a random variable with the following probability distribution. Value X of X P(X=x) 30 Continue 40 50 60 70 80 0.15 0.25 0.20 0.10 0.15 0.15 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation E (X) of X. E (X) = (b) Find the variance Var(X) of X. Var(x) = 0 O SLet X be a random variable with the following probability distribution. Value x of X P(X=x) 10 20 30 40 50 0.10 0.30 0.20 0.25 0.15 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation E (X) of X. E (X) = 0 (b) Find the variance Var(X) of X. Var(x) =Let X be a random variable with the following probability distribution. Value x of X P(X=x) 2 0.05 3 0.05 4 0.05 5 0.85 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation E(X) of X. E (X) = 0 (b) Find the variance Var(X) of X. Var(x) = ☐ Check B X G
- In an uncertain economy, Americans tend to keep spending down. Let x be the amount of money U.S. individuals spend on groceries monthly. Suppose the probability distribution of x is a uniform distribution from $300 to $400 which is represented by the picture below. f(x) 0.010 0.008 0.006 0.004 0.002 300 320 340 360 380 400 X i (a) What is the probability that a randomly selected individual spends between $315 and $370 on groceries each month? (b) Determine whether the following statement is true or false. The variable, the amount an individual plans to spend on groceries per month, is a numerical (quantitative) variable. True O FalseLet X be a random variable with the following probability distribution. Value x of X P(X=x) 3 4 5 5.0 6 0.10 0.05 0.40 0.45 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation E (X) of X. E (X) = 0 (b) Find the variance Var(X) of X. Var(x) = 0Calculate the expected value of X, E(X), for the given probability distribution. x 2 4 6 8 P(X = x) 7 20 11 20 1 20 1 20 E(X) =
- Calculate the expected value of X, E(X), for the given probability distribution. 1 2 4 P(X = x) 0.2 0.1 0.6 0.1 E(X) %DLet Xbe a random variable with the following probability distribution. Question table Value of X P( X=x) 0 0.05 10 0.40 20 0.20 30 0.10 40 0.25 A. Find the expectation E(X) of (X) E(X)=? B. Find the variance VAR(X) of (X) VAR(X)=?Let X be a random variable with the following probability distribution. Value x of X P X= x 3 4 5 6 7 0.05 0.35 0.25 0.05 0.30 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation E (X) of X. E (X) = 0 (b) Find the variance Var(X) of X. Var(x) = 0
