35 draws are made at random with replacement from the box containing the 5 tickets: El a] The smallest the sum of the 35 draws could possibly be is I: and the largest is :l Tries Df3 b) What is the EV {expected value} of the sum of the 35 draws? : Tries Df3 c) What is the SE (standard error} of the sum of the 35 draws? {Use the fact that the SD of the box is 2) \\:| Tries Df3 d) Use the normal approximation and your answers from (b) and (c) above to gure out the chance that the sum of the 35 draws will be less than 185. Click here to View the normal table i) First, calculate the Z score. Z Plot 1 Plot 2 Plot 3 Plot 4 43.1012: 6.1012: .3 .1011: 4.1011: ii) Now choose the normal curve with the correct shaded area. iii} What is the chance the sum of the 35 draws will be less than 185? Z % e] Now suppose you draw at random with replacement from the same box above, but this time you're only interested in counting (summing up) how many 4's you get. 1What is the EU and the SE of the number of 4's in the 35 draws? (Hint: Draw a new box with only 1's and 0's and nd the EV and SE of the sum). i) E! of the number of 4's in 35 draws is \\:| ii} SE of the number of 4's in 35 draws is \\:|