0 1 2 3 4 5 X 0.33 0.20 0.18 0.14 0.12 0.03 P(X) (a) Make a histogram of this probability distribution in the grid: (b) Describe in words and find its value. (c) Express the event at least two tests” in terms of and find its probability. X “performing The mean height of players in the National Basketball Association is about 79 inches and the standard 5. deviation is 3.5 inches. Assume the distribution of heights is approximately Normal. Let = the height H of a randomly-selected NBA player. Find and interpret . Man Hong is running the balloon darts game at the school fair. He has blown up hundreds of balloons 6. with notes about prize tickets inside them. Twelve percent of the notes say win 5 tickets,” twenty “You percent say win 3 tickets,” and the rest say try again!’ After each play, he replaces the “You “Sorry, popped balloon with another one bearing the same note. Let = the number of tickets won by a randomly T selected player of this game. (a) Give the probability distribution for T. (b) Find and interpret the mean of . T, (c) Find and interpret the standard deviation of . T, A four sided die shaped like an asymmetrical tetrahedron has the following roll probabilities. 7. Number on Die 1 2 3 4 0.4 0.3 0.2 0.1 Probability Let = the result of a single roll. X (a) Find
X 0 1 2 3 4 5 P(X) 0.33 0.20 0.18 0.14 0.12 0.03 (a) Make a histogram of this probability distribution in the grid: (b) Describe in words and find its value. (c) Express the event “performing at least two tests” in terms of X and find its probability. 5. The mean height of players in the National Basketball Association is about 79 inches and the standard deviation is 3.5 inches. Assume the distribution of heights is approximately Normal. Let H = the height of a randomly-selected NBA player. Find and interpret . 6. Man Hong is running the balloon darts game at the school fair. He has blown up hundreds of balloons with notes about prize tickets inside them. Twelve percent of the notes say “You win 5 tickets,” twenty percent say “You win 3 tickets,” and the rest say “Sorry, try again!’ After each play, he replaces the popped balloon with another one bearing the same note. Let T = the number of tickets won by a randomly selected player of this game. (a) Give the probability distribution for T. (b) Find and interpret the mean of T, . (c) Find and interpret the standard deviation of T, . 7. A four sided die shaped like an asymmetrical tetrahedron has the following roll probabilities. Number on Die 1 2 3 4 Probability 0.4 0.3 0.2 0.1 Let X = the result of a single roll. (a) Find
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