The following data were collected by counting the number of operating rooms in use at Tampa...
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The following data were collected by counting the number of operating rooms in use at Tampa General Hospital over a 20-day period: On five of the days only one operating room was used, on eight of the days two were used, on four of the days three were used, and on three days all four of the hospital's operating rooms were used. (a) Use the relative frequency approach to construct an empirical discrete probability distribution for the number of operating rooms in use on any given day. X ((x) 1 2 3 4 (b) Draw a graph of the probability distribution. f(x) 0.5 0.4 0.3 0.2 0.1 f(x) 0.5 0.4 0.3 0.2 0.1 1 3 1 0 f(x) 0.5 0.4 0.3 0.2 0.1 f(x) 0.5 0.4) 0.3 0.2 0.1 1 2 Activate Determine whether the distribution is a discrete probability distribution. X P(x) 0 0.14 1 0.19 2 0.31 3 0.15 4 0.21 Is the distribution a discrete probability distribution? A. No, because the sum of the probabilities is not equal to 1. B. Yes, because the sum of the probabilities is equal to 1 and each probability is between 0 and 1, inclusive. C. Yes, because each probability is between 0 and 1, inclusive. D. Yes, because the sum of the probabilities is equal to 1. Determine the required value of the missing probability to make the distribution a discrete probability distribution. X P(x) 3 0.23 4 ? 5 0.32 6 0.16 P(4) = (Type an integer or a decimal.) The following data were collected by counting the number of operating rooms in use at Tampa General Hospital over a 20-day period: On five of the days only one operating room was used, on eight of the days two were used, on four of the days three were used, and on three days all four of the hospital's operating rooms were used. (a) Use the relative frequency approach to construct an empirical discrete probability distribution for the number of operating rooms in use on any given day. X ((x) 1 2 3 4 (b) Draw a graph of the probability distribution. f(x) 0.5 0.4 0.3 0.2 0.1 f(x) 0.5 0.4 0.3 0.2 0.1 1 3 1 0 f(x) 0.5 0.4 0.3 0.2 0.1 f(x) 0.5 0.4) 0.3 0.2 0.1 1 2 Activate Determine whether the distribution is a discrete probability distribution. X P(x) 0 0.14 1 0.19 2 0.31 3 0.15 4 0.21 Is the distribution a discrete probability distribution? A. No, because the sum of the probabilities is not equal to 1. B. Yes, because the sum of the probabilities is equal to 1 and each probability is between 0 and 1, inclusive. C. Yes, because each probability is between 0 and 1, inclusive. D. Yes, because the sum of the probabilities is equal to 1. Determine the required value of the missing probability to make the distribution a discrete probability distribution. X P(x) 3 0.23 4 ? 5 0.32 6 0.16 P(4) = (Type an integer or a decimal.)
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