At the Blood Bank, they know that O+ blood is the most common blood type and that 40% of the people are known to have O+ blood. Blood type A- is a very scarce blood type and only 6% of the people have A- blood. Half of the people have blood type A or B.  Let: X= number of people who have blood type O+ Y= number of people who have blood type A- Z= number of people who have blood type A or B a) Consider a random sample of n=9 people who donated blood over the past three months. The expected number of people with blood type O+ is and the expected number of people with blood type A- is   Calculate the following probabilities: P(X=5)= __________ Round your answer to 4 decimal places. P(X>2)= __________ Round your answer to 4 decimal places.   b) Consider a random sample of n=40 people who donated blood over the past three months. Use the relevant probability function of Y to calculate the probability that 2 people in the random sample will have type A- blood. ________ Round your answer to 4 decimal places. c) Consider a random sample of n=22 people who donated blood over the past three months. The standard deviation of Z is: _______ Round your answer to 4 decimal places.   The distribution of Z is: __________ (Choose all the applicable options) Discrete Skew to the right Continuous Skew to the left Binary Symmetric

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Systems Of Equations And Inequalities
Section: Chapter Questions
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At the Blood Bank, they know that O+ blood is the most common blood type and that 40% of the people are known to have O+ blood. Blood type A- is a very scarce blood type and only 6% of the people have A- blood. Half of the people have blood type A or B

Let:

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

a) Consider a random sample of n=9 people who donated blood over the past three months.

  • The expected number of people with blood type O+ is and the expected number of people with blood type A- is 

  •  Calculate the following probabilities:
    • P(X=5)= __________ Round your answer to 4 decimal places.
    • P(X>2)= __________ Round your answer to 4 decimal places.
 

b) Consider a random sample of n=40 people who donated blood over the past three months.

Use the relevant probability function of Y to calculate the probability that 2 people in the random sample will have type A- blood.

________

Round your answer to 4 decimal places.

c) Consider a random sample of n=22 people who donated blood over the past three months.

  • The standard deviation of Z is: _______ Round your answer to 4 decimal places.

 

  • The distribution of Z is: __________ (Choose all the applicable options)
  • Discrete
  • Skew to the right
  • Continuous
  • Skew to the left
  • Binary
  • Symmetric
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