5. A total of n balls are tossed into 10 bins as follows: each ball is tossed independently and has an equal probability of 0.1 of falling into Bin i, i = 1,2,..., 10. Let Y denote the number of balls in Bin 1. Let Z denote the total number of balls in Bins 6-10. (a) Determine the pmf of Y. Hint: Think binomial distribution. (b) Determine the pmf of Z. (c) Determine the conditional pmf p(zly). Clearly specify the range of y and z. (d) Determine the conditional pmf p(y|z). Clearly specify the range of y and z.

25 of 30 The following graph shows the mean change in mass of two groups of animals fed on different diets over a period of 2 years: Time course of mass change 275 250 225 200 175 150 125 100 0 3 69 12 15 18 21 24 Time (months) Which of these is the most misleading property of this graph? OThe errors vary between data points. O A best fit curve wasn't shown The interpolating lines have different styles. False zero None of these is relevant to this graph. Mass (g) HH H HH HH HH

A total of $6000 is invested for 5 yr with a total return of $1080. Part of the money is invested in a fund that returns the equivalent of 2% simple interest. The rest of the money is invested at 4% simple interest. Determine the amount invested in each account.

Jean typically takes 2 less hours than Donald to assemble a bicycle if each works alone. Jean and Donald worked together to assemble a bicycle for 1 hour, and then Donald finished the job without Jean after an additional 1 hour. How long would it have taken Donald to assemble the bicycle alone? Do not include the units in your answer.