Probability problems based on

Find the probability that none of the 5 bulbs in a signal light will have to be replaced during the first 1200 hours of operation if the lifetime X of the bulb is a random variable with the density
f(x)=6[0.25-(x-1.5)^2] when 1<=x<=2, and
f(x)=0 other wise

Where x is measured in multiples of 1000

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Probability problems based on

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Probability problems based on

You and your two friends decide to go to Burger King where 90% of the orders are filled accurately. What is the probability that:

a) all three orders are filled accurately?

b) none of the three will be filled accurately?

c) at least two of the three will be filled accurately?

d) What are the mean and standard deviation of this distribution? Interpret these values.

Probability problems based on

At a large university, 500 freshmen take their final exam for their marketing course. Scores are normally distributed with a mean 79 and standard deviation 7. What is the probability of a score, X, falling between 73 and 83?

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