Suppose X is a discrete random variable whose probability distribution function f(x) is given by the following table. Find the fourth moment of X. x f(x) Round to 4 decimal places if needed. -2 -1 0 1 3 3 T TO 10 10 10 2 2 10

Let X be the number of visits to the dentist's office for a randomly selected student. Suppose that X has a probability distribution function given by the following table: X P(X= x) 0.15 0.65 Find P(X ≤u) where µ = E(X) is the average number of visits. 0.5 0.15 1 1 0.50 2 0.35

Groups of adults are randomly selected and arranged in groups of three. The random variable x is the number in the group who say that they would feel comfortable in a self-driving vehicle. 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. O A. O B. The table does not show a probability distribution. X P(x) 0 0.362 1 adult(s) (Round to one decimal place as needed.) 3 Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. ☐B. No, not every probability is between 0 and 1 inclusive. C. No, the random variable x is categorical instead of numerical. D. No, the random variable x's number values are not associated with probabilities. E. No, the sum of all the probabilities is not equal to 1. Find the mean of the random variable x. Select the correct…