15 fg/question
I realize you can do these in excel in like 3 seconds, I am just a little confused
1&2 are binominal distributions
3&4 are poisson
5 is uniform
6&7 are normal
1.According to the American Academy of Cosmetic Dentistry, 75% of adults believe that an unattractive smile hurts career success. Suppose that 25 adults are randomly selected. What is the probability that 15 or more of them would agree with the claim?
2. According to the last census, 45% of working women held full-time jobs in 2002. If a random sample of 50 working women is drawn, what is the probability that 19 or more hold full-time jobs?
3. The number of bank robberies that occur in a large north american city is Poisson distributed with a mean of 1.8 per day. Find the probabilties of the following events A. Three of more robberies in one day. B. Between 10-15 (inclusive) robberies during a 5-day period.
4. Complaints about an Internet brokerage firm occur at a rate of five per day. The number of complaints appear to be Poisson distributed. A. Find the probability that the firm receives 10 or more complaints in a day. B. Find the probability that the firm receives 25 or more complains in a 5 day period.
5. The weekly output of a steel mill is uniformly distributed random variable that lies between 110 and 175 metric tons. A. Compute the probability that the steel mill will produce more than 150 tons next week. B. Determine the probability that the steel mill will produce between 120-160 metric tons next week.
6. The long distance calls made by the employees of a company are normally distributed with a mean of 6.3 minutes and a standard deviation of 2.2 minutes. Find the probability that a call A. lasts between 5-10 mins. B. lasts more than 7 mins. C. lasts less than 4 mins. D. How long do the longest of 10% calls last?
7. The top selling Red and Voss tire is rated 70,000 miles, which means nothing. In fact, the distance the tires can run until they wear out is normally distributed by a random variable with a mean of 82,000 miles and a standard deviation of 6,400 miles. A. What is the probability that a tire wears off before 70,000 miles? B. What is the probability that a tire lasts more than 100,000 miles?