l System Announcem 3.6.1 ] Incorrect. Suppose the random variable X has a geomet

Question

l System Announcem 3.6.1 ] Incorrect. Suppose the random variable X has a geometric distribution with p - 0.7. Determine the following probabilities: (a) P(X = 2) 12.0630 (b) P(X = 7) = (10:0002 (c) Prx - 8)-0.0000 (d) PWs 2) = (e) P(X > 2) 11.0.0270 0.9730 Round your answers to four decimal places (e.g. 98.7654). Click if you would like to Show work for this question: Open Snow. Work By accessing this Question Assistance, you wil learn while you earn points based on the Point Potential Policy set by your in

Explanation / Answer

Ans:

For geometric distribution:

P(x=k)=(1-p)k-1*p

where k=1,2,3......

a)P(x=2)=(1-0.7)*0.7=0.2100

b)P(x=7)=(1-0.7)6*0.7=0.0005

c)P(x=8)=(1-0.7)7*0.7=0.0002

d)P(x<=2)=P(x=1)+P(x=2)

=0.7+(1-0.7)*0.7

=0.7+0.2100=0.9100

e)P(x>2)=1-P(x<=2)=1-0.9100=0.0900

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