|A 8 A sequence of independent Bernoulli trials with probability of success p is performed. Let the ran dom variable X be the number of failures before the first success. R.D.R EGALA STAT 203 March 4, 2021 a) Find the probability mass function of X, confirming that the sum over all possible values of X is one.

Assume a member is selected at random from the population represented by the graph. Find the probability that the member selected at random is from the shaded area of the graph. Assume the variable x is normally distributed. SAT Critical Reading Scores H = 509 6 = 119 200

Service Good The table shows the results of a restaurant survey. Find the probability P(Y'|B'). Service Great Service Okay Meal (A) (B) (C) Lunch (X) Dinner (Y) Total 818 37 45 33 19 14 47 56 59 80 80226 Service Poor (D) Total 25 140 122 67 262 P(Y'B') (Simplify your answer. Type an integer or a simplified fraction.)

Random variable x is the total number of successes in 6 repeated Bernoulli trials. Each trial is independent of each other, and the the probablity of success on a single trial, p = 0.9, is the same from trial to trial. Compute the probability that x is at most 4.