1. Review for Exam 1

2. Problem 1 An inept statistics professor has a home repair project. With probability 10%, he can buy the necessary equipment at a hardware store and install it properly. This would cost $5. With probability 60%, he won't be able to fix it himself and will have to call a licensed professional. This would cost $205. With probability 30%, attempting to fix it himself will only cause additional damage. This would cost $605. Let X be the amount of money that the project costs. Find E(X) and SD(X).

3. Problem 2 In 48 patients, the amount of a certain drug in the skin (in ng/cm 2 ) is shown in the table below. 3 13 21 24 29 40 414 21 25 29 41 4 17 22 26 30 41 7 18 22 26 31 42 7 21 22 26 33 45 8 21 22 26 37 55 9 21 22 27 38 56 9 21 23 28 40 64 Draw a box-and-whisker plot for this data.

4. Problem 3 Draw a histogram for the data in Problem 2. Use the right endpoint convention and the classes 0-20 ng/cm 2 20-30 ng/cm 2 30-70 ng/cm 2

5. Problem 4 Five cards are dealt from a well-shuffled deck. Find the probability that: a)at least one of them is a heart b)exactly two of them are hearts c)the third card is a heart d)the third card is heart, given that the first two are spades e)all five cards are hearts

6. Problem 5 A large data set has mean 62 and standard deviation 14. Fill in the blanks with numbers: a)About 68% of the data lies between _______ and _______ b)About 95% of the data lies between _______ and _______

7. Problem 6 A box of tickets contains 200 red tickets and 300 green tickets. Ten are selected at random. Find (accurate to four decimal places) the probability that exactly 6 of the tickets are red if … a)the draws are made with replacement b)the draws are made without replacement

8. Problem 7 In a certain assembly plant has three machines that makes its products. Machine 1 makes 30% of the products. From past experience, it is known that 2% of these products are defective. Machine 2 makes 45% of the products. From past experience, 3% of these products are defective. Machine 3 makes 25% of the products. From past experience, 1% of these products are defective. Suppose a randomly chosen product is found to be defective. What is the probability that it was made by the third machine?