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 = 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 Round your answers to 2 decimal places. Calculate the following probabilities: o P(X = 9) = your answer to 4 decimal places. P(X > 3) = Round your answer to 4 decimal places.

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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 0+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 = 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
Round your answers to 2 decimal places.
Calculate the following probabilities:
P(X = 9)
Round your answer to 4 decimal places.
o P(X > 3) =
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 0+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 = 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 Round your answers to 2 decimal places. Calculate the following probabilities: P(X = 9) Round your answer to 4 decimal places. o P(X > 3) = Round your answer to 4 decimal places.
b)
Consider a random sample of n
42 people who donated blood over the past three months.
Use the relevant probability function of Y to calculate the probability that 5 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 Skew to the left
O Symmetric
Discrete
O Continuous
O Skew to the right
O Binary
Transcribed Image Text:b) Consider a random sample of n 42 people who donated blood over the past three months. Use the relevant probability function of Y to calculate the probability that 5 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 Skew to the left O Symmetric Discrete O Continuous O Skew to the right O Binary
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