In a state? lottery, a player must choose 5 numbers between 1 and 58?, inclusive
ID: 2906579 • Letter: I
Question
In a state? lottery, a player must choose 5 numbers between 1 and 58?, inclusive. On drawing? day, 7 balls numbered between 1 and 58 are then randomly selected from an urn. The random variable X represents the number of matching numbers. Verify that this satisfies the criteria for a hypergeometric probability experiment and determine the values for? N, n, and k. Also list the possible values of the random variable X.
Is this a hypergeometric probability? experiment?
A. ?No, because there are not exactly two possible outcomes for each trial.
B. ?No, because the sample is not obtained from the population without replacement.
C. ?Yes, because the population has finite? size, there are exactly two possible outcomes for each? trial, and the sample is obtained from the population without replacement.
D. ?No, because the population does not have finite size.
Explanation / Answer
(a)
Correct option:
C. Yes, because the population has fixed size, there are exactly two possible outcomes for each trial and the sample is obtained from the population without replacement.
(b)
N = 58
n = 7
k = 5
(c) Possible values of X are:
0,1,2,3,4,5