10 men and 5 women are meeting in a conference room. four people are chosen at random from the 15 to form a committee. (a) what is the probability that the committee consists of 2 men and 2 women? (b) among the 15 is a couple, bob and jane. what is the probability that bob and jane both end up on the committee? (c) what is the probability that bob ends up on the committee but jane doesn’t?

Now max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a) the median of max’s data is 250 b) more than half of the data points max recorded were 177 centimeters. c) a data point chosen at random is as likely to be above the mean as it is to be below the mean. d) every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.