Concept explainers
(a)
To find: The expected number of spins to win
(a)
Answer to Problem 112E
The expected number of spins to win is 38.
Explanation of Solution
Given information:
Number of spins
Concept used:
If the trials are repeated until a success occurs and the probability of success is same in each trial, then it is the case of geometric distribution.
In this case, a bet is placed until a win and the probability of winning in each chance is same and was independent. So, this follows geometric distribution.
Calculation:
Let X be the number of spins for a success
So,
Mean of X
(b)
To check: whether it is probable to won in less than or equal to 3.
(b)
Answer to Problem 112E
It is surprising if Martin won in 30 or fewer spins.
Explanation of Solution
Calculation:
Probability of winning in 3 or fewer spins
It can be seen that the probability of 3 or fewer is too low.
So, it is surprising if Martin won in 30or fewer spins.
Chapter 6 Solutions
PRACTICE OF STATISTICS F/AP EXAM
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