the Blood Bank, they know that O+ blood is the most common blood type and that 40%40% of the people are known to have O+ blood. Blood type A- is a very scarce blood type and only 6%6% of the people have A- blood. Half of the people have blood type A or B.  Let: X=X= number of people who have blood type O+ Y=Y= number of people who have blood type A- Z=Z= number of people who have blood type A or B Consider a random sample of n=44 people who donated blood over the past three months. Use the relevant probability function of YY to calculate the probability that 44 people in the random sample will have type A- blood.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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t the Blood Bank, they know that O+ blood is the most common blood type and that 40%40% of the people are known to have O+ blood. Blood type A- is a very scarce blood type and only 6%6% of the people have A- blood. Half of the people have blood type A or B

Let:

  • X=X= number of people who have blood type O+
  • Y=Y= number of people who have blood type A-
  • Z=Z= number of people who have blood type A or B

Consider a random sample of n=44 people who donated blood over the past three months.

Use the relevant probability function of YY to calculate the probability that 44 people in the random sample will have type A- blood.

Expert Solution
Step 1

Obtain the probability that 4 people in the random sample will have type A- blood.

 

The probability that 4 people in the random sample will have type A- blood is obtained below as follows:

 

Let Y denotes number of people who have blood type A- which follows binomial distribution with the probability of success 0.06 and the sample of 4 people has been selected.

 

That is, n=4,p=0.06, q=0.94(=1–0.06).

 

The probability distribution is given by,

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