Lake a Ted Adalynn Smithson Microsolt Edge Test.aspxtestld 175461 Adalynn Smitis
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Lake a Ted Adalynn Smithson Microsolt Edge Test.aspxtestld 175461 Adalynn Smitison &I; 44/18 12:46 PM Time Remaining: 01:04:34 Submit Tes This Test: 20 pts possi SP18 MTH 2651 Elementary Statisties Test: Chapter 4 Test This Question: 1 pt 130120 (8 complete) ? Use the fact that he mean of a geometric distribution is and the variance is ?2 A daily number lottery chooses two bals numbered 0 to 9. The probabalty of winning the lottery s 100 Let x be the number of times you play the lotery belee winning the first time (a) Find the mean, variance, and standard deviation (b) How many times would you expect to have to play the lottory before winning? It costs 51 to play and winners are paid $500 Would you expect to make or lose money playing this lottery?Explain (a) The mean is? (Type an integer or a decimal ) The variance is[] (Type an integer or a decimal) The standard deviation is (Round to one decimal place as needed) (b) You can expect to play the game times before winning Would you expect to make or lose money playing this lottery? Explain Cick to select your answer(s) ?Explanation / Answer
X follows Geometric (p=1/100).
a)
Mean of X=1/(1/100)=100.
Variance of X=(1-p)/p^2=[1-(1/100)]/(1/100)^2=(99/100)/(1/10000)=9900.
Standard Deviation=sqrt(Variance)=sqrt(9900)=99.5(round to one decimal place) .
b) You can expect to play the game 100 times before winning because actually here it is asked to find E(X) =100.
c)
One can expect to win this lottery because the person has to pay 1$ each of 100 times that is 100$ and on winning gets 500$.
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