Suppose that y is a random variable having a normal distribution wit mean equal to 250 and a standard deviation equal to 10. a. Show that the event y< 260 has the same probability as z< 1, where zdenote the random variable with standard normal distribution.b. Convert the event y> 230 to the z − score equivalentc. Find P(y<260) and P(y>230)

College Algebra
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Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Suppose that y is a random variable having a normal distribution wit mean equal to 250 and a standard deviation equal to 10.

a. Show that the event y< 260 has the same probability as z< 1, where z
denote the random variable with standard normal distribution.
b. Convert the event y> 230 to the z − score equivalent
c. Find P(y<260) and P(y>230)

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