Isle Royale, an island in Lake Superior, has provided an important study site of wolves and their prey. Of special interest is the study of the number of moose killed by wolves. In the period from 1958 to 1974, there were 296 moose deaths identified as wolf kills. The age distribution of the kills is as follows.

Age of Moose in Years Number Killed by Wolves
Calf (0.5 yr)
1-5
6-10
11-15
16-20 106
47
72
67
4
(a) For each age group, compute the probability that a moose in that age group is killed by a wolf. (Use 3 decimal places.)
0.5
1-5
6-10
11-15
16-20

(b) Consider all ages in a class equal to the class midpoint. Find the expected age of a moose killed by a wolf and the standard deviation of the ages. (Use 2 decimal places.)

A stationary store has decided to accept a large shipment of ball-point pens if an inspection of17 randomly selected pens yields no more than two defective pens.(a) Find the probability that this shipment is accepted if 5% of the total shipment is defective. (Use 3 decimal places.)

(b) Find the probability that this shipment is not accepted if 15% of the total shipment is defective. (Use 3 decimal places.)
Consumer Reports rated airlines and found that76% of the flights involved in the study arrived on time (that is, within 15 minutes of scheduled arrival time). Assuming that the on-time arrival rate is representative of the entire commercial airline industry, consider a random sample of211 flights. (Round your answers to two decimal places.)

What is the expected number that will arrive on time

What is the standard deviation of this distribution?

The Orchard Cafe has found that about10% of the diners who make reservations don't show up. If79 reservations have been made, how many diners can be expected to show up? Find the standard deviation of this distribution. (Use 2 decimal places.)
Consumer Banker Association released a report showing the lengths of automobile leases for new automobiles. The results are as follows.
Lease Length in Months Percent of Leases
13-24
25-36
37-48
49-60
More than 60 14.5%
37.9%
25.3%
21.8%
0.5%
(a) Use the midpoint of each class, and call the midpoint of the last class 66.5 months, for purposes of computing the expected lease term. Also find the standard deviation of the distribution. (Use 2 decimal places.)

According toHarper's Index,50% of all federal inmates are serving time for drug dealing. A random sample of17 federal inmates is selected.(a) What is the probability that 13 or more are serving time for drug dealing? (Use 3 decimal places.)

(b) What is the probability that 6 or fewer are serving time for drug dealing? (Use 3 decimal places.)

(c) What is the expected number of inmates serving time for drug dealing? (Use 1 decimal place.)
State Farm Insurance studies show that in Colorado,50% of the auto insurance claims submitted for property damage were submitted by males under 25 years of age. Suppose9 property damage claims involving automobiles are selected at random.(a) Let r be the number of claims made by males under age 25. Make a histogram for the r-distribution probabilities.

(b) What is the probability that seven or more claims are made by males under age 25? (Use 3 decimal places.)

(c) What is the expected number of claims made by males under age 25? What is the standard deviation of the r-probability distribution? (Use 2 decimal places.)