*EXPERT* *EXCEL*QNT/275: Statistics For Decision Making
LUUP777
Week3HomeworkRequirements.xlsx1
A survey is made in a neighborhood of 90 voters. 75 are Democrats and 15 are Republicans. Of the Democrats, 30 are women, while 7 of the Republicans are women. If one subject from the group is randomly selected, find the probability the individual is a male Republican.
2
Container 1 has 8 items, 3 of which are defective. Container 2 has 5 items, 3 of which are defective. If one item is drawn from each container, what is the probability that only one of the items is defective?
3
A letter is drawn from the alphabet of 26 letters. What is the probability that the letter drawn is a vowel?
4
A family has two children. What is the probability that both are girls, given that at least one is a girl?
5
If n = 29 and p = .6, then the standard deviation of the binomial distribution is
6
Consider a Poisson distribution with an average of 4 customers per minute at the local grocery store. If X = the number of arrivals per minute, find the probability of more than 6 customers arriving within a minute.
7
An important part of the customer service responsibilities of a cable company is the speed with which trouble in service can be repaired. Historically, the data show that the likelihood is 0.70 that troubles in a residential service can be repaired on the same day. For the first four troubles reported on a given day, what is the probability that all four will be repaired on the same day?
8
Suppose that the waiting time for a license plate renewal at a local office of a state motor vehicle department has been found to be normally distributed with a mean of 29 minutes and a standard deviation of 6 minutes. Suppose that in an effort to provide better service to the public, the director of the local office is permitted to provide discounts to those individuals whose waiting time exceeds a predetermined time. The director decides that 10 percent of the customers should receive this discount. What number of minutes do they need to wait to receive the discount?
9
An apple juice producer buys all his apples from a conglomerate of apple growers in one northwestern state. The amount of juice obtained from each of these apples is approximately normally distributed with a mean of 2.38 ounces and a standard deviation of 0.1 ounce. What is the probability that a randomly selected apple will contain more than 2.40 ounces?
10
While conducting experiments, a marine biologist selects water depths from a uniformly distributed collection that vary between 2.00 m and 8.00 m. What is the probability that a randomly selected depth is between 2.25 m and 5.00 m?
