The time to complete the construction of a soapbox derby car is normally distributed with a mean of three hours and a standard deviation of one hour. Find the probability that it would take exactly 3.7 hours to construct a soapbox derby car.Multiple Choice0.75800.00000.50000.2420
Question
The time to complete the construction of a soapbox derby car is normally distributed with a mean of three hours and a standard deviation of one hour. Find the probability that it would take exactly 3.7 hours to construct a soapbox derby car.Multiple Choice0.75800.00000.50000.2420
Solution
The concept of finding the probability of a continuous random variable taking on an exact value is a bit misleading. In a continuous distribution, the probability of getting an exact value is technically zero because there are infinite possible outcomes. This is because the area under the curve at a single, exact point on a continuous probability distribution is zero.
So, the answer to the question "Find the probability that it would take exactly 3.7 hours to construct a soapbox derby car" is 0.0000.
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