Problem-11 Is lack of sleep causing traffic fatalities? A study conducted under the auspices of the National Highway Traffic Safety Administration found that the average number of fatal crashes caused by drowsy drivers each year was 1550 (BusinessWeek January 26, 2004). Assume the annual number of fatal crashes per year is normally distributed with a standard deviation of 300. a) What is the probability of fewer than 1000 fatal crashes in a year? b) What is the probability the number of fatal crashes will be between 1000 and 2000 for a year? c) For a year to be in the upper 5% concerning the number of fatal crashes. how many fatal crashes would have to occur? Problem-12 According to Advertising Age, the average base salary for women working as copywriters in advertising firms is higher than the average base salary for men. The average base salary for women is $87,000 and the average base salary for men is $85,000. Assume salaries are normally distributed and that the standard deviation is $7000 for both men and women. a) What is the probability of a woman receiving a salary over $95,000? b) What is the probability of a man receiving a salary over $88,000? What is the probability of a woman receiving a salary below $80,000? How much would a woman have to make to have a higher salary than 98% of her male counterparts