1.people with type O-negative blood are universal donors. That is, any patient can receive a transfusion of O-negative blood. only 7.2% of the american population has O-negative blood.

a. what is the probability that two randomly selected donors have O-negative blood? Assume that each selection is an independent event.

b. what is the probability that five randomly selected donors do not have O-negative blood? Assume that each selection is an independent event.

c. what is the probability that at least one randomly selected donor out of 5 has O-negative blood? Assume that each selection is an independent event.

2.let x denote the lifetime (in thousands of hours) of a certain type of fan used in diesel engines. suppose the distribution is approximately normal with a mean of m=32 and standard deviation Q=5.6. give your answer as decimals rounded to 4 places for parts(a)-(d).

a.what is the probability that a randomly selected fan has a lifetime greater that 22? symbolically Pr(x 22)

b.what is the probability that a randomly selected fan has a lifetime greater that 19 but less than33?symbolically Pr(19 x 33)

c. what is the probability that a randomly selected fan has a lifetime less that 37? symbolically Pr(x37)

b.what is the probability that three randomly selected fans all have a lifetime less that 37?

e.what fan lifetime would be considered the 90th percentile? Round your answer to the nearest hour.