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Question: You have Xs and Os (nine of each) in a bag near a tic-tac-toe board. You arbitrarily select an X or an O, and then you place it arbitrarily on the board. Shake the bag, and again arbitrarily select an X or an O and place it arbitrarily on the board (in an open spot).
(a) Consider the event in which you select the same letter twice; define a random variable corresponding to this event and compute its expected value.
(b) What is the probability that both letters are placed in the same row?
Calculation Standard Deviation and Correlation
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Using the data of Exercise 129, show that the class marks also are given by the midpoint between successive class boundaries (a) Construct a histogram of the drying times of polyurethane from the data in Exercise 115.
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The statistics showed that students studied an average of 20 hours per week with a standard deviation of 10 hours. What is the probability that a sample mean would exceed 20 hours per week?
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