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C5D1 Assignment: C5D1 i. Questions 1. 0 I2, . 3. O 4 O 5. O 6. 7. Exercise 05.07 Algo (Developing Discrete Probability Distributions) The probability distribution for the random variable :1! follows. a. Is this probability distribution valid? Explain. - Select your answer - b. What is the probability that a: = 30 (to 2 decimals)? c. What is the probability that a: is less than or equal to 25 (to 2 decimals)? d. What is the probability that in is greater than 30 (to 2 decimals)? 01 Icon Key 21 25 30 37 w) 0.25 0.16 0.27 0.32 Assignment Score: 2.04% Submit Assign tfor Grading 4 Question 2 of 7 D Check My Work (3 remaining) Check My Work (3 remaining) ; CENGAGE I. C5D1 G... MINDTAP Q Search this course X The following data were collected by counting the number of operating rooms in use at Tampa General Hospital over a 20-day period: On three of the days only one operating room was used, on six of the days two were used, on eight of the days three were used, and on three days all four of the hospital's operating rooms were used. Round your answers to two decimal places. 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. 2: M) 1 2 3 4 Total b. Select a graph of the probability distribution x) \"(x) 0. 4 9 i\" CENGAGE MINDTAP Q Search this course 9 c501 X 4 Total b. Select a graph of the probability distribution. frx) fix) 04 04 03 03 02 02 01 01 3. x) 4. x) 04 04 03 03 02 02 01 01 - Select your answer - :1. Show that your probability distribution satisfies the required conditions for a valid discrete probability distribution. f( ~/ - Select your answer- 30 for (E = 1,21314 and Ef(z) = f(1) + N2) + f(3) + f(4) = 1 Check My Work (3 remaining) 0: Icon Key '1. CENGAGE MINDTAP Q Search this course c501 x Assignment: C5D1 Assignment Score: 2.04% i Submit Assignment for Grading Questions Exercise 05.13 (Developing Discrete Probability Distributions) G Qu650n4 0f7 D 2- . . Check My Work (3 remaining) 3 O I 4, Q A psychologist determined that the number of sessions required to obtain the trust of a new patient is either 1, 2, or 3. Let a: be a random variable indicating the number of sessions 5 . required to gain the patient's trust The following probability function has been proposed. 2 6 f(:r)=Efor:E=l,2,or3 7 a. Consider the required conditions for a discrete probability function, shown below. at) 2 0 (5-1) E at) : 1 (51-?) Does this probability distribution satisfy equation (5.1)? i - Select your answer - 3 Does this probability distribution satisfy equation (5.2)? - Select your answer - b. What is the probability that it takes exactly 2 sessions to gain the patient's trust (to 3 decimals)? c. What is the probability that it takes at least 2 sessions to gain the patient's trust (to 3 decimals)? Check My Work (3 remaining) : CENGAGE MINDTAP Q Search this course I. c5131 x i Questions Exercise 05.14 Algo (Developing Discrete Probability Distributions)