Question

For the experiment described​ below, let x determine a random​ variable, and use knowledge of probability to prepare a probability distribution. Two names are drawn from a​ hat, signifying who should go pick up pizza. Three of the names are on the swim team and six are not. The number of swimmers selected is counted.

x	0	1	2
P(x)

Answer 1

Solution :

Total names = (3 + 6) = 9

Number of names on swim team = 3

Number of names which are not on swim team = 6

2 names are drawn. X represents the number of swimmers in 2 selected names.

Probability that selected a name from swim team = 3/9 = 1/3

Probability that a selected name is not from swim team = 6/9 = 2/3

P(X = 0) = Both selected are not swimmers.

P(X = 1) = One of two selected is swimmer and other is not swimmer.

P(X = 2) = Both selected are swimmers

X	P(X)
0	4/9
1	4/9
2	1/9