Normal Template Test 2A 1. The following is a data obtained through a survey on television viewers. Channel 1 Channel 2 Channel 3 Channel 4 Channel 5 Channel 6 Men XXXXXXXXXX Women XXXXXXXXXX Boys...

Complete homework and exam on two different papers. Skip question 2 on exam assignment. Must be handwritten and scan as a PDF. Handwriting must be clear. Write solutions to exam on blank or line paper.


Normal Template Test 2A 1. The following is a data obtained through a survey on television viewers. Channel 1 Channel 2 Channel 3 Channel 4 Channel 5 Channel 6 Men 25 15 10 15 20 30 Women 22 20 4 13 17 8 Boys 8 8 5 10 3 12 Girls 10 7 11 20 45 31 A viewer is chosen randomly. Find the probability that A) the selected viewer is а girl given that she watches channel 2. B) the selected viewer watches channel 3 given that the viewer is a man. 2 A. State Bayes Theorem B. There are three cookie jars in the kitchen, а blue jar, а red jar, and а green jar. The blue jar contains 10 ginger snaps and 11 chocolate chip cookies. The red jar contains 9 ginger snaps and 12 chocolate chip cookies. The green jar contains 10 ginger snaps and 13 chocolate chip cookies. In the middle of the night, Sam goes to the kitchen and chooses a jar without turning on the light and gets а cookie from it. Find the probability that the cookie came from the blue jar provided the selected cookie was chocolate chip. 3. Compute E(x) and (x) if x follows the following probability distribution x 0 1 2 3 4 p(x) 0.1 0.2 0.3 0.2 4. A die is tossed 100 times. Find the probability that "1 or 3" shows up. A) Exactly 30 times. B) At least 30 times. 5. Through а survey, it was found that the average intake of medicine in а large group of patients 250 mg per week with a standard deviation of 20 mg per week. A) A patient is chosen at random. Find the probability that his or her intake exceeds 240 mg per week. B) 3 patients are chosen at random. Find the probability that their average intake is between 245 mg and 255 mg per week. 6. Find the coefficient of variation of the data: 10, 17, 15, 23, 21 Test 2A 7. Find the mean of the data: Class Frequency 0-10 12 10-20 28 20-30 40 30-40 22 40-50 17 50-60 10 8. Compute Cov(x, y) if (x, y) follows a joint distribution P(x, y) given below: 9. What is the smallest value of k in Tchevishev's Theorem for which the probability Prob(   k < x=""><  + k) is at least 0.99. ="" +="" k)="" is="" at="" least="">