Question 1208252: The average price of an ostrich-skin underpants is $ 12,837. The prices are normally distributed with a standard deviation of $ 1500. If an ostrich-skin garment is picked randomly, then the probability that its price is more the $ 15,000 is
Answer by ikleyn(52800) (Show Source):
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The average price of an ostrich-skin underpants is $ 12,837.
The prices are normally distributed with a standard deviation of $ 1500.
If an ostrich-skin garment is picked randomly, then the probability
that its price is more the $ 15,000 is
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Any normal distribution curve is a bell-shaped curve.
The probability that the price of an ostrich-skin garment is more than $15,000
is the area under the given normal curve to the right of the raw mark x= $15000.
So, find the standard z-score for $15000, then use the standard normal distribution table
to find the probability that a value is greater than that z-score.
Step 1. Find the z-score for 15000
z = = = 1.442.
Step 2. Use the standard normal distribution table to find the probability
that a value is greater than z = 1.442.
The table gives the probability 0.9251 that a value is less than a given z-score.
To find the probability that a value is greater than a given z-score,
subtract the probability from 1.
P(z > 1.44) = 1-P(z < 1.44)
P(z > 1.44)= 1-0.9251
P(z > 1.44) = 0.0749. ANSWER
Solved.
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