Question

Sachin Tendulkar scores runs in T-20 league match with following discrete probability density function.
Runs (X) 50 35 25 15 45 10
f(x) 0.10 0.18 0.20 0.25 0.12 0.15



Simulate the score of Sachin Tendulkar for four league matches using following three digit random numbers 976, 009, 280, and 850. Hence estimate his average score.

Answer 1

Answer on Question #46540 – Math – Statistics and Probability

Problem.

Sachin Tendulkar scores runs in T-20 league match with following discrete probability density function.

Runs (X) 50 35 25 15 45 10

f(x) 0.10 0.18 0.20 0.25 0.12 0.15

Simulate the score of Sachin Tendulkar for four league matches using following three digit random numbers 976, 009, 280, and 850. Hence estimate his average score.

Solution:

where $F(x)$ culminative probability function.

Then to simulate the score with three digit random numbers $n$ we use next table.

Therefore for 976, 009, 280, and 850 we have scores 50, 10, 15 and 45 respectively. The average of this scores is $\frac{50 + 10 + 15 + 45}{4} = 30$.

Answer: 976 – 50, 009 – 10, 280 – 15, 850 – 45; average – 30.

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