Determine whether the probability experiment represents a hypergeometric probability experiment. If it does, determine the values of N, n, and k and list the possible values of the random variable X.
A university must choose a team of 5 students to participate in a TV quiz show. The students will be chosen at random from a pool of 42 potential participants of whom 23 are women. The random variable X represents the number of women on the team.
◦ hypergeometric; N = 42, n = 23, k = 5, x = 0, 1, 2, 3, 4, 5
◦ hypergeometric; N = 42, n = 5, k = 23, x = 0, 1, 2, . . . , 23
◦ hypergeometric; N = 42, n = 5, k = 23, x = 0, 1, 2, 3, 4, 5
◦ not hypergeometric