SOLUTION: You have a Normal Distribution with mean = 70 and standard deviation = 4. If you make one selection from this population, what is the probability that you get:
a. a measurement o
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-> SOLUTION: You have a Normal Distribution with mean = 70 and standard deviation = 4. If you make one selection from this population, what is the probability that you get:
a. a measurement o
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Question 333209: You have a Normal Distribution with mean = 70 and standard deviation = 4. If you make one selection from this population, what is the probability that you get:
a. a measurement of 72?
b. a measurement between 71.5 and 72.5?
You can put this solution on YOUR website! You have a Normal Distribution with mean = 70 and standard deviation = 4. If you make one selection from this population, what is the probability that you get:
a. a measurement of 72?
P(x=72) = 0
Note: In a continuous distribution the probability
of any single value is zero.
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b. a measurement between 71.5 and 72.5?
z(71.5) = (71.5-70)/4 = 1.5/4 = 0.3750
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z(72.5) = (72.5-70)/4 = 2.5/4 = 0.6250
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P(71.5 <= x <=72.5) = P(0.3750<= z <= 0.6250) = 0.0878
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Cheers,
Stan H.
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