45% of the population has Type O blood. Find the

CMIIh

CMIIh

Answered question

2021-09-17

45% of the population has Type O blood. Find the probability that exactly 6 people in a group of 10 random people have Type O blood. Round your answer to six decimal places.

Answer & Explanation

Ezra Herbert

Ezra Herbert

Skilled2021-09-18Added 99 answers

Step 1
The binomial probability distribution is,
P(X=x)=(beg{array}{c}nxend{array})(p)x(1p)nx
In the formula, n denotes the number of trails, p denotes probability of success, and x denotes the number of success.
The random variable X is defined as the number people have Type O blood which follows binomial distribution with sample size 10 and probability of success 0.45.
Step 2
The probability that exactly 6 people have Type O blood is,
P(X=6)=(beg{array}{c}106end{array})(0.45)6(10.45)106
=210×0.0083037656×0.09150625
=0.159568
Thus, the probability that exactly 6 people have Type O blood is 0.159568.

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