To find: the design and carry out a simulation using random digits to help the answer.
Answer to Problem 7.24E
0.2
Explanation of Solution
Given:
Simulation of 10 flip of a coin and assuming that heads and tails are equally likely
Formula used:
Calculation:
10 possible digits are there so assigning 5 of the digits to heads and 5 of the digits to tails
Heads: Digit 0, 1, 2, 3, 4
Tails: Digit 5, 6, 7, 8, 9
Using the TI 83 calculator for simulating the result
Generating the 250 flips of a coin using the TI83/TI84 calculator
Counting the number of heads (digits 0, 1, 2, 3, 4) in the result and repeating the simulation 10 times in total
4, 3, 5, 8, 3, 6, 2, 3, 5, 4,
It is observed that 2 out of the 10 simulations do not contain a run of at least 3.
Therefore the estimated probability is 0.2
Chapter 7 Solutions
Statistics Through Applications
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