The Binomial Distribution

58%

The probability of having blood type O is 0.4.

A doctor tests the blood type of 6 patients.

Assuming a binomial distribution, calculate the probability that exactly 2 of these patients have blood type O.

You may use $p + q)^6 = p^6 + 6p^5q + 15p^4q^2 + 20p^3q^3 + 15p^2q^4 + 6pq^5 + q^6$ .

[3]

58%

The probability of having blood type O is 0.4.

A doctor tests the blood type of 6 patients.

Assuming a binomial distribution, calculate the probability that exactly 2 of these patients have blood type O.

You may use $p + q)^6 = p^6 + 6p^5q + 15p^4q^2 + 20p^3q^3 + 15p^2q^4 + 6pq^5 + q^6$ .

[3]

The Binomial Distribution Questions