For which of the following random variables would it be appropriate to assign a

Question

For which of the following random variables would it be appropriate to assign a uniform distribution? Enter Y if yes, and enter N if no. (Use upper case Y and N.) You get three attempts! X| represents the roll of one die. X| represents the number of heads obtained in three tosses of coin. A roulette wheel has 38 possible outcomes: 0, 00, and 1 through 36. Let X| represent the outcome when a roulette wheel is spun. Let X| represent the birthday of a randomly chosen person. Let X| represent the number of tosses of a coin necessary to achieve a head for the first time. Let X| represent the number of tosses of a coin necessary to achieve a head for the third time.

Explanation / Answer

a) Yes

     Since P(X = i) = 1/6, for all i = 1,2,3,4,5,6.             Uniform probabilities

b) No

        Since P(X=x) = nCx /2n       x=0,1,2,3            non uniform probabilities

c) Yes

       Since each random value probability is same ,        so it is uniform distribution

d) Yes

        since in a year, P(getting birthday of the person) = 1/365, for all day's probability in the year is same

e) No

f) No

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