1)Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5. Assume that the groups consists of 29 couples, answer the following questions.

a) Find the mean for the number of girls in group of 29 births.

=

b) Find the variance for the number of girls in group of 29 births.

^2 =

c) Find the standard deviation for the number of girls in group of 29 births.

=

d) Use the range rule of thumb to find the values separating results that are significantly low or significantly high.

Values of girls or fewer are significantly low.

Values of or greater are significantly high.

2)A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 51 tablets, then accept the whole batch if there is only one or none that doesn't meed the required specifications. If one shipment of 6000 aspirin tablets actually has a 5% rate of defects,answer the following questions.

a) n =

b) p =

c) What is the probability that this how shipment will be accepted?

d) What is the probability that this how shipment will be rejected?

3) There is a 0.9987 probability that a randomly selected 30-year-old male lives through the year. A life insurance company charges $186 for insuring that the male will live through the year. If the male does not survive the year, the policy pays out $120,000 as a death benefit. Answer the following questions.

a) From the perspective of the 30-year-old male, what are the monetary values correspoding to the two events of surviving the year and not surviving?

The value corresponding to surviving the year is $

The value corresponding to not surviving the year is $

b) If the 30-year-old male purchases the policy, what is his expected value?

c) Can the insurance company expect to make a profit from many such policy? Why?

(type YES or NO), because the insurance company expects to make an average profit of $

on every 30-year-old male it insures for 1 year.