Unformatted text preview: 4. (30 points) On a long trip, the probability of having a blowout on the Frst wheel of my bicycle is 0.1. The probability of having a blowout on the rear wheel is also 0.1. However, these events are not independent. Show that the probability that I will have no blowout during the trip is at least 0.8. 5. (30 points) Let X be an exponential random variable, and deFne Y = e X . Compute the probability density function of Y . 6. (30 points) In a school, classes consisting of 15 boys and 10 girls are started. The number of blueeyed girls in such a class is a binomial random variable with parameters ( n = 10 , p = 0 . 25). The number of blueeyed boys is also a binomial random variable with parameters ( m = 15 , p = . 25). Compute the probability that exactly 8 blueeyed children will go to a given class....
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 Fall '05
 BALAZS
 Math, Probability, Probability theory, binomial random variable

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