Question

Blood type AB is found in only 3% of the population.† If 235 people are chosen at random, find the probability of the following. (Use the normal approximation. Round your answers to four decimal places.) (a) 5 or more will have this blood type .8365 Correct: Your answer is correct. (b) between 5 and 10 will have this blood type

Answer 1

This is a binomial distribution .

Let p Probability of success that AB blood group is found be 0.03(3%)

Given : p= 0.03 , n = 235.

Binomial Distribution can be approximated by normal distribution by:

P( x a) =

a) P(x 5) = 1 - P(x 4)

= 1 -

= 1 -

= 1 -

= 1 -

= 1 - 0.1635

= 0.8365

Thus , there is 0.8365 Probability that more than 5 people are having this type of blood.

b) P( 10< x < 5) = -

= -

= -

= -

= 0.9066 - 0.2776

= 0.629

Thus , there is 0.629 Probability that there are 5 to 10 people of this blood type.

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