D Question 1 1 pts Suppose that a discrete random variable X has the following p
ID: 3049891 • Letter: D
Question
D Question 1 1 pts Suppose that a discrete random variable X has the following probabiity mass function PX(k)= k= 1,2,..,K, , where a 6.87 and K-52. Determine the value for the constant c Round your answer to 2 digits to the right of the decimal D Question 2 1 pts Suppose that a discrete random variable Xhas the following probablity mass function where a 6.12 and K-37. Determine the probability that X takes a value that is evenly divisible by 3. That is, if you divide X by 3, the remainder will be zero. Round your answer to 3 digits to the right of the decimal. D Question 3 1 pts Suppose that X is a random variable with a Poisson distribution with the parameterA 083. Determine the probability that X takes a value that is odd Round your answer to 3 digits to the right of the decimalExplanation / Answer
1)as sum of geometric progression: Sn =a*(1-rn)/(1-r)
and for sum of all probability is equal to 1.
therefore (c/6.87)*(1-(1/6.87)52)/(1-1/6.87) =1
c =5.87
2) Probability =P(X=3)+P(X=6)+P(X=9)+..............P(X=51) =(5.87/6.873)*(1-(1/6.873)51)/(1-1/6.873)
=0.018
3)
as above probability =0.405
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.