Using R Studio

In Australia, 31% of the population has type A+ blood.

Consider taking a random sample of 20 Australians. Let X denote the number of persons in the sample with type A+ blood.

(a) What is the distribution of X? Justify your answer.

(b) Using R Studio, calculate the following.

i. The probability of having no persons with type A+ blood in the sample.

ii. The probability of at most half of the sample have type A+ blood

iii. The probability of between 8 and 15 (inclusive) persons with type A+ blood in the sample.