Warm Up A business has six customer service operators available to talk with customers. Let X denote the number of operators busy with a customer at a.

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Warm Up A business has six customer service operators available to talk with customers. Let X denote the number of operators busy with a customer at a certain time. The probability distribution of X is X 0 1 2 3 4 5 6 Prob .10 .15 .2 .25 .2 .06 .04 1) Find the mean of X. 2) Find the probability that at least two operators are busy with a customer. 3) Find the probability more than four operators are busy with a customer.

Practice A long term study followed a group of children to see how many years of school they completed. The probability distribution is shown below. Years of Education Years 5 6 7 8 9 10 11 12 Prob .012 .012 .013 .032 .068 .070 .041 .752 1) Find the mean and standard deviation for this random variable. 2) Find the probability of that a randomly selected student completed at least one year of high school.

Activity - Generate a Random Variable 1) Everyone will determine how many “Algebra Blocks” they can stack before their tower collapses. 2) Each table will get about 25 Algebra block cubes. 3) Each person at your table will get ONE chance to make a tower. Keep adding blocks until your tower collapses. Record the number of blocks you could stack BEFORE your tower collapsed. 4) Record everyone’s data on the board.

Activity - Generate a Random Variable 1) Make a probability distribution of the number of blocks in a tower. 2) Determine the mean and standard deviation of X (X is the number of blocks in each tower). 3) What is the probability a randomly selected student can stack 20 or more blocks? 4) What is the probability a randomly selected student can stack less than 15 blocks?

Practice 1) Let X be a continuous random variable with a uniform density curve between 0 and 1. a) What is the probability of 0.4 < X < 0.6? b) What is the probability of 0.4 ≤ X ≤ 0.6? c) What is the probability X = 0.4? 2) The height of men in the U.S. follows a normal distribution with a mean of 69.0 inches and a standard deviation of 2.5 inches. What is the probability that a man, chosen randomly, is more than 6 feet tall?