Answer to Question #169416 in Statistics and Probability for Ra

Question

Based on the previous data, the probabilities of a batsman making various scores in a tournament are as :

Runs Probability

10 0.01

20 0.20

30 0.15

50 0.30

60 0.12

70 0 20

100 0.02

To simulate the runs scored by the batsman in the next five tournaments using the following choice of random numbers : 25, 39, 65, 76, 12.

Answer 1

The probabilities of a batsman making various scores in a tournament are as :

Runs Probability

10 0.01

20 0.20

30 0.15

50 0.30

60 0.12

70 0 20

100 0.02

To simulate the runs scored by the batsman in the next five tournaments using the following choice of random numbers : 25, 39, 65, 76, 12.

The choices is to be made must be between the given scores that gives the probability approx 0.30.

As The probability of making the 25 must be around the probability of score 20 and 30, there must be the intersection of probability 20 and 30. i.e. The intersection is given by= $0.20\times 0.15=$ 0.30

The choices of runs in the next five tournaments involves the selection of random choice.

The probability distribution for these random runs must be greater than 0.