9:31 PM Sat Jun 25 H webassighhet Thus, E(x) = :J. Skip (you cannot come back: Need Help? 12. [11.25 Points] DETAILS ASWSBE14 5.E.016. MY NOTES ASK YOUR TEACHER | PRACTICE ANOTHER The following table provides a probability distribution for the random variable y. (a) Compute E(y). em = :J (b) Compute Var(y) and 0'. (Round your answer for 0' to two decimal places.) varm =[: Need Help? 13. [-11.25 Points] DETAILS ASWSBE14 5.E.017. MY NOTES ASK YOUR TEACHER | PRACTICE ANOTHER DATAfiIe: Coldstrearn12 During the summer of 2018r Coldstream Country Club in Cincinnati, Ohio collected data on 443 rounds of golf played from its white tee The data for each golfer's score on the twelfth hole are contained in the DATAIe Coldstreamlz. (Round your answers to four decimal places.) (a) Construct an empirical discrete probability distribution for the player scores on the twelfth hole. 8:04 PM Fri Jun 24 "5' L 37% [)v E webassignnet 11. [11.25 Points] DETAILS ASWSBE14 5.E.015.MI.SA. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. _uiorial Exercise The following table provides a probability distribution for the random variable x. (a) Compute E(x), the expected value of x. (b) Compute 02, the variance of x. (c) Compute o, the standard deviation of x. Need Help? _'' 12. [-I1 .25 Points] DETAILS ASWSBE14 5.E.016. MY NOTES ASK YOUR TEACH ER PRACTICE ANOTHER The following table provides a probability distribution for the random variable y. (a) Compute E(y). em = [:1 (b) Compute Val-(y) and a. (Round your answer for o to two decimal places.) W =[: Need Help? _ 6. [-11.25 Points] DETAILS ASWSBE14 5.E.DD7. MY NOTES ASK YOUR TEACH ER PRACTICE ANOTHER The probability distribution for the random variable x follows. (b) What is the probability that x = 30? [j (c) What is the probability that x is less than or equal to 25? D (d) What is the probability that x is greater than 30? U 8:04 PM Fri Jun 24 "5' L 37%[Jv webassignnet " i Submit Answer 9. [41.25 Points] DETAILS ASWSBE14 5.E.013. MY NOTES ASK YOUR TEACHER A psychologist determined that the number of sessions required to obtain the trust of a new patient is either 1, 2, or 3. Let X be a random variable indicating the number of sessions required to gain the patient's trust. The following probability function has been proposed. f(x) =iforx= 1, 2,0r3 6 (a) [5 this probability function valid? Explain. This probability distribution v valid because v forx = 1, 2, 3. Also, Zx) = [j . (b) What is the probability that it takes exactly 2 sessions to gain the patient's trust? (Round your answer to three decimal places.) I: (c) What is the probability that it takes at least 2 sessions to gain the patient's trust? (Round your answer to three decimal places.) Need Help? 10. [11.25 Points] DETAILS ASWSBE14 5.E.015.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The following table provides a probability distribution for the random variable x. (3) Compute E(x), the expected value of x. em = [:1 (b) Compute a2, the variance of x. :2 = [:1 (c) Compute a, the standard deviation of x. (Round your answer to two decimal places.) Need Help? 9:31 PM Sat Jun 25 5? 52% I H webassignnet 9. [11.25 Points] DETAILS ASWSBE14 5.E.013. MY NOTES ASK YOUR TEACHER A psychologist determined that the number of sessions required to obtain the trust of a new patient is either 1, 2, or 3. Let X be a random variable indicating the number of sessions required to gain the patient's trust. The following probability function has been proposed. x)=%forx= 1,2,or3 (a) Is this probability function valid? Explain. (b) What is the probability that it ta .wer to three decimal places.) [2 (c) What is the probability that it ta [2 Need Help? war to three decimal places.) Submit Answer 10. [l1.25 Points] DETAILS ASWSBE14 5.E.015.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The following table provides a probability distribution for the random variable x. a- 15 0.50 (3) Compute E(x), the expected value of x. em = :1 (b) Compute 02, the variance of x. (c) Compute o', the standard deviation of x. (Round your answer to two decimal places.) Need Help? 11. [I1.25Points] l DETAILS l ASWSBE145.E.O15.MI.SA. 9:31 PM Sat Jun 25 5? 52% I H webassignnet 9. [-I1 .25 Po' MY NOTES ASK YOUR TEACHER Select A psycho the trust of a new patient is either 1, 2, or 3. Let X be a random tient's trust. The following probability function has been propose- lid because for x = 1, 2, 3. Also, Zx) = [:1 . (b) What is the probability that it takes exactly 2 sessions to gain the patient's trust? (Round your answer to three decimal places.) (c) What is the probability that it takes at least 2 sessions to gain the patient's trust? (Round your answer to three decimal places.) [:1 Need Help? Submit Answer 10. [11.25 Points] DETAILS ASWSBE14 5.E.O15.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The following table provides a probability distribution for the random variable x. (3) Compute E(x), the expected value of x. em = :1 (b) Compute 02, the variance of x. (c) Compute a, the standard deviation of x. (Round your answer to two decimal places.) Need Help? __ 11. [I1.25Points] l DETAILS l ASWSBE145.E.O15.MI.SA. 9:31 PM Sat Jun 25 '5" 52% I H webassignnet 11. [I1.25 Points] DETAILS ASWSBE14 5.E.015.MI.SA. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. _uloria| Exercise The following table provides a probability distribution for the random variable x. (a) Compute E(x), the expected value of x. (b) Compute 02, the variance of x. (c) Compute a, the standard deviation of x. (a) Compute E(x), the expected value of x. The expected value of a random variable is a measure for the central location. Thus, the expected value of a random variable is another way to refer to the mean, ,u. Recall the formula for the expected value, E(x), of a discrete random variable X. Multiply each value of the random variable by its respective probability and then sum these values. E(x) = Zxx) It can be helpful to add a column to the given table of information to organize the products of xf(x). Complete the table. Thus, E(x) = [:] . Need Help? 6. [-11.25 Points] DETAILS ASWSBE14 5.E.DD7. MY NOTES ASK YOUR TEACH ER PRACTICE ANOTHER . The -robabili distribution for the random variable x follows. Since for v D for all values ofx and Zx) = C] , this a proper probability distribution. (b) What is the probability that x = 30? U (c) What is the probability that x is less than or equal to 25? D (d) What is the probability that x is greater than 30? U Need Help? __ Submit