Question

4).

a.
The following data represent the number of games played in each series of an annual tournament from 1925 to 2003. Complete parts (a) through (d) below. 4 x (games played) Frequency 5 17 6 22 70 24 15 (a) Construct a discrete probability distribution for the random variable x. x (games played) P(x) 4 5 6 7 (Round to four decimal places as needed.) (b) Graph the discrete probability distribution. Choose the correct graph below. O A. OB. OC. AP(x) 0.5- OD. AP(x) 0.5- AP(x) 0.5- APIX) 0.5- Q 0- 6 5 6 5 6 7 4 5 6 (c) Compute and interpret the mean of the random variable x. Hx= games (Round to four decimal places as needed.) Interpret the mean of the random variable x. O A. The series, if played one time, would be expected to last about 5.7 games. OB. The series, if played many times, would be expected to last about 5.7 games, on average. OC. The series, if played many times, would be expected to last about 4.3 games, on average. (d) Compute the standard deviation of the random variable x.
b.

Answer 1

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19 2 f 15 PM)=f/a 8 4 17 6 9 0.1923 0.2179 0.2821 0.3077 Ipca)=) 22 24 N=78 7 Total 10 11 Boy option 12 1 S 6. 2 CMX * prz) RES 4 I repca) 2=4 un 4X15 + SX17+ 6X22+ 7X24 78 = 5.7 2cus ③ 6-1 E(X²)-EE (x)² = 1 E(X)-5.72 Elx?) I 2p (7): 16X15+ 2S XL1 + 36X22 F 49X24 78 = 33.8 1.14 133.8 (5.772 = 11.31 = 2019