In considering medical insurance for a certain operation, let x be the amount (in $) paid for the doctor and let y be the amount (in $) paid to the hospital. in the past, the variances have been var(x) = 8,100,var(y) = 10,000, and var(x+y) = 20,000. due to increased expenses, it was decided to increase the doctor’s fee by $500 and increase the hospital charge y by 8%. calculate the variance of the new total claim, i. e. the variance of x + 500 + 1.08y

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.