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Practice Final Exam Solns AU10

# The number of miles per gallon for a 2009 corvette

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25. The number of miles per gallon for a 2009 Corvette has a normal distribution with mean 15 mpg and standard deviation 0.5 mpg. What is the probability that a randomly chosen corvette gets exactly 15 miles per gallon? ANS____P(X=15) = 0 __ 26. Suppose 30% of OSU students are in favor of having casinos in Ohio. Two OSU students are selected at random; let X equal the number of students in the sample who are in favor of casinos in Ohio. Write down the probability distribution for X. (Remember we discussed in lecture what a probability distribution is.) Binomial: n=2 p=0.3 k 0 1 2 P(X=k) 0.49 0.42 0.09 27. Suppose 85% of your employees got raises last year. You sample 100 employees at random and count the number who got a raise. What is the chance that at least 80 of the employees got a raise? Normal Approximation to the Binomial 10 85 85 . 0 100 = × = np 10 15 15 . 0 100 ) 1 ( = × = - p n 85 85 . 0 100 = × = = np X μ 571 . 3 75 . 12 15 . 0 85 . 0 100 ) 1 ( = = × × = - = p np X σ 40 . 1 571 . 3 85 80 - = - = - = X Z P(X > 80) = P(Z > -1.40) = 1 - 0.0808 = 0.9192 ANS__0.9192_____ 4

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28. Suppose a manufacturer has recorded its cost of electricity (in dollars) and the total number of hours of machine time for their factory during a certain number of weeks. Using this information, how much does the cost increase for each
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The number of miles per gallon for a 2009 Corvette has a...

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