SOLUTION: Suppose that a random variable Y has normal distribution with mean 25 and standard deviation 5 find the probability that P(Y≤25)

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Question 1022177: Suppose that a random variable Y has normal distribution with mean 25 and standard deviation 5 find the probability that P(Y≤25)

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
We need to calculate the z-value in order to find the probability
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z-value = (25 - 25) / 5 = 0
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consult table of z-values
P(Y < 25) = 0.5000 or 50%
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this tells us that 50% of the values in a normal distribution will be below 25 and 50% of the values will be greater than 25
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strictly speaking we do not include the = when using a normal distribution, = is reserved for the binomial probability distribution
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