Let S, be a variable which stands for äny 8) he elements of Hhe population 5, 9, 10 and S2 a variale which stands for any of the elements of the populartior 4,6. Compute : iv) -

8.2 Q6) Hey! Need help with the following, thank you!

5. There are 6 white balls and 4 black balls in a pocket. Take any one without replacement, and define the r.v. X as the number of balls that are taken out when the white ball is taken out for the first time. a) Find the pmf of X. b) If the black ball is taken out, it will not be put back, and another white ball will be put in. Find the pmf of X.

The populations, P, of six towns with time t in years are given by Answer the following questions regarding the populations of the six towns above. Whenever you need to enter several towns in one answer, enter your answer as a comma separated list of numbers. For example if town 1, town 2, town 3, and town 4, are all growing you could enter 1, 2, 3, 4; or 2, 4, 1, 3; or any other order of these four numerals separated by commas. (a) Which of the towns are growing? (b) Which of the towns are shrinking? (c) Which town is growing the fastest? What is the annual percentage growth RATE of that town? (d) Which town is shrinking the fastest? What is the annual percentage decay RATE of that town? (e) Which town has the largest initial population? 1 P-700(1.14) 2 P=2200(0.91) 3 P 900(0.79) 4 P=2400(0.8) 5 P=1100(1.09) P=1700(1.187) (1) Which town has the smallest initial population? % %

5. Which number is less? (110) - (10) (100) - (10) (100) or = (10) (108) ? 2 Notice that 110 100+10 so we can treat the first number as the number of ways to pick 4 out of 110 people, but at least two of them should belong to the distinuished group of 10. The other number stands for the choice of 2 people out of the distinguished group of 10 out of 110, and then adding another 2 out of remainging 108 to this group. So which number is less?