Q1: Is lack of sleep causing traffic fatalities? A study conducted under the auspices of the National Traffic Safety Administration found that the average number of fatal crashes caused by drowsy drivers was 1550. Assume the annual number of fatal crashes per year is normally distributed with a standard deviation of 300. What is the probability that the number of fatal crashes will be between 1000 and 2000 for a year?
Q2: For borrowers with good credit scores, the mean debt for revolving and installment accounts is $15,015. Assume the standard deviation is $3540 and that the debt amounts are normally distributed. What is the probability that the debt for a randomly selected borrower with good credit is between $12,000 and $18,000.