Given events A and B with probabilities P(A ) = 0.5, P(B) = 0.4, and P(A and B) = 0.2, are A and B independent?
A) yes B) no C) cannot be determined
Q. 2A 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 44 potential participants of whom 20 are women. The random variable X represents the number of women on the team.
A) hypergeometric; N = 44, n = 5, k = 20, x = 0, 1, 2, 3, 4, 5
B) hypergeometric; N = 44, n = 20, k = 5, x = 0, 1, 2, 3, 4, 5
C) hypergeometric; N = 44, n = 5, k = 20, x = 0, 1, 2, . . . , 20
D) not hypergeometric
Q. 3Assuming that all conditions are met to approximate a binomial probability distribution with the standard normal distribution, then to compute P(x 19 ) from the binomial distribution we must compute as the normal approximation.
A) P(x 18.5 ) B) P(x 18.5 ) C) P(x 19.1 ) D) P(x 18.9 )
Q. 4Determine the sample size required to estimate the mean score on a standardized test within 4 points of the true mean with 98 confidence. Assume that s = 14 based on earlier studies.
A) 67 B) 9 C) 172 D) 1
Q. 5An electronics store receives a shipment of 50 flat screen TVs of which 5 are defective. During the quality control inspection, 4 TVs are selected at random from the shipment for testing.
The random variable X represents the number of defective computers in the sample A) hypergeometric; N = 50, n = 4, k = 5, x = 0, 1, 2, 3, 4
B) hypergeometric; N = 50, n = 5, k = 4, x = 0, 1, 2, 3, 4
C) hypergeometric; N = 50, n = 4, k = 5, x = 0, 1, 2, . . . , 5
D) not hypergeometric
Q. 6True or False: In order to use a normal approximation to the binomial probability distribution, np(1 - p) 10.
A) True B) False
Q. 7Find the critical value from the Studentized range distribution for = 0.01, = 10, k = 4.
A) 5.769 B) 12.27 C) 6.136 D) 6.686