Doncouse_Jeremy_Week5

Doncouse_Jeremy_Week5 - JeremyDoncouse Week5

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Jeremy Doncouse Week 5 Problems 2, 3, 5, 11 to 16, 17, 19, 21, 23, 25, 26, 28,, 31 2 The random variable x is know to be uniformly distributed between 10 and 20. a. Show the graph of the probability density function.    1/ 10 20 b. Compute P(x < 15). d. Compute E(x). e. Compute Var(x). Business Perspective. Like in the "Statistics in Practice" at the beginning of the  chapter, uniform probability distribution is useful to see the plausability and/or profitablility of certain actions. This determines whether they should be done. 3 Flight times are uniformly distributed between 2 hours and 2 hours, 20 minutes. a. Show the graph of the probability density function for flight time.    1/ 20 140 c. Compute P(12 ≤ x ≤ 18). 1/ 10 10 12 14 16 18 20
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b. What is the probability that the flight will be no more than 5 minutes late? c. What is the probability that the flight will be more than 10 minutes late? d. What is the expected flight time? Business Perspective. For an airline, these distributions can be helpful in letting people know how reliable the airline is and what range they can expect to arrive. This is also useful for the airline in determining how many flights a day are needed to cover a route. 5 Uniformly distributed between 284.7 and 310.6. a. Give a mathematical expression for the probability density function of driving distrance. b. Probability the driving distance is less than 290 yards? c. Probability the driving distance is at least 300 yards? d. Probability between 290 and 305 yards? e. How many will drive at least 290 yards? 1/ 20 120 125 130 135 140
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Business Perspective. In designing golf courses it is important to give the golfers a challenge. If all drives were within the boundaries which the pros could hit in one try, the game wouldn't be as interesting. 11 Given that z is a standard normal random variable, compute the following. 0.16
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Doncouse_Jeremy_Week5 - JeremyDoncouse Week5

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