The distribution of blood types in Australia is as follows, where positive and negative refer to the Rhesus (Rh) factor:

AB-positive:2%

AB-negative:1%

O-positive:35%

O-negative:13%

A-positive:30%

A-negative:8%

B-positive:8%

B-negative:2%

a) What is the probability that 4 of the blood samples will be Rh negative, expressed as a decimal to 4 places (for example, 0.5000)?

b)If you draw blood samples and determine Rh factor using 10 random selections from this population, what is the random variable?

c) What is the probability that 4 of the blood samples will be Rh positive, expressed to 4 decimal places?

show formulas and your calculations

2.If you randomly select 18 people from the population and measure Rh factor, what is the probability of each of the possible outcomes (expressed to 4 decimal places)?determine the probability that

a)none are Rh negative

b)three are Rh negative

c)more than three are Rh negative

and create histogram