Question 6.455

11. Gambling Losses. Treatment providers for problem gamblers report that men who approached them for intervention had lost a mean of $2849 in the preceding four weeks, according to a 2002 report.22 Assume that the distribution of gambling losses is normally distributed with mean and standard deviation .

  1. Find the probability that a randomly selected male had lost more than $4000.
  2. What percentage of males lost between $3000 and $4000?
  3. Suppose that a gambling support group is trying to identify those who lose the most, as measured by the 95th percentile. How much money in gambling losses does this represent?
  4. Suppose you know of a male problem gambler who lost $1000 in four weeks and then approached a treatment provider. Is this amount unusual? On what do you base your answer?