Answer:
The probability of getting paid more than $6500 in 100 weeks is 0.6%
Explanation:
In this problem, we need to define a probabilty distribution for the money earned.
The 100-week payoff can be expressed as
Being L the numbers of weeks we have low pay and H the weeks we have high pay.
Now, as it is a coin flip, H is a binomial random variable with p=0.5 and n=100
For a total pay off of more than 6500, H has to be
That means that in at least 63 of the 100 weeks we have to get a high pay.
If we compute the individual probabilities we get P(H≥63)=0.006 or 0.6%.