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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 Aor B a) Consider a random sample ofn = 12 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

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 Aor B a) Consider a random sample ofn = 12 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

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 27EQ
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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 Aor B. Let: – 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 Aor B a) Consider a random sample of n 12 people who donated blood over the past three months. The expected number of people with blood type 0+is and the expected number of people with blood type A- is Round your answers to 2 decimal places. Calculate the following probabilities: P(X = 7) = Round your answer to 4 decimal places. Р(X > 2) — Round your answer to 4 decimal places.
Transcribed Image Text: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 Aor B. Let: – 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 Aor B a) Consider a random sample of n 12 people who donated blood over the past three months. The expected number of people with blood type 0+is and the expected number of people with blood type A- is Round your answers to 2 decimal places. Calculate the following probabilities: P(X = 7) = Round your answer to 4 decimal places. Р(X > 2) — Round your answer to 4 decimal places.
b) Consider a random sample of n = 34 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 = 28 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, marks will be deducted for incorrect choices.) O Continuous O Skew to the right O Skew to the left O Binary O Discrete O Symmetric
Transcribed Image Text:b) Consider a random sample of n = 34 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 = 28 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, marks will be deducted for incorrect choices.) O Continuous O Skew to the right O Skew to the left O Binary O Discrete O Symmetric
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