12) In California\'s Fantasy Lottery game, winning the jackpot requires that you

Question

12) In California's Fantasy Lottery game, winning the jackpot requires that you select 5 different numbers from 1 to 39, and the same 5 numbers must be drawn in the lottery. The winning number can be drawn in any order, so order does not make a difference. al How many different lottery tickets are possible? b) Find the probability of winning the jackpot when one ticket is purchased. 13) A tire company says that 1% of all of their tires are wil be defective within 1 year. A trucker who owns an 18-wheel truck buys 18 of these tires. What's the probability that at least one of the tires will be defective within the first year? 14. A person who shoots a bow and arrow has an 80% chance of hitting the bullseye. Assume one shot has no effect on the next a) If the person shoots 10 shots, what's the probability she makes all 10? b) Ifthe person shoots 10 shots, would you be surprised if she only made 5? Explain

Explanation / Answer

Solution:-

14)

a) If the person shoots 10 shots, the probability she makes all 10 is 0.1074.

p = 80/100

p = 0.80, n = 10

By applying binomial distributiion:-

P(x,n) = nCx*px*(1-p)(n-x)

P(x = 10) = 0.1074

b) If the person shoots 10 shots , the probability of getting only 5 is 0.0264.

p = 0.80, n = 10

By applying binomial distributiion:-

P(x,n) = nCx*px*(1-p)(n-x)

P(x = 5) = 0.0264

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