dx P(a < X < b) = - a a What is the pdf of X? Do you recognize it? Describe values of a and b such that ||f (x)||> 1. Now, describe values of a and b such that E(X) = 0 Compute Var(X)

Analyzing data, you found that the probability that a computer user clicks on the online ad of your company is 0.22 or 22% (a person either clicks or does not click on your ad). Let X be the number of independent people who view the ad until someone clicks on it (including the person who clicked on the ad, so if we say X=5, that means it took 5 people to look at the ad to get one to click on the ad). Say you show the ad to 20 independent people. Let Y be the number of people who click on the ad among the 20 independent people who view the ad Let Z be whether a person who views the ad clicks on it or does not click on it. What type of distribution does x follow and what is the probability that x is equal to 3

Doctor Specialties Below are listed the numbers of doctors in various specialties by gender. Psychiatry Pathology Gynecology Male 27,319 12,551 23,813 Female 14,066 6620 18,520 Send data to Excel Choose 1 doctor at random. Part: 0 / 4 Part 1 of 4 (a) Find P (female psychiatry). Round your answer to three decimal places. P (female|psychiatry) = |

MODELLING RELATIONSHIPS: et us look again at the test results in mathematics and biology from Example 2. 33 Example 3 42 48 37 32 30 30 Mathematics (x) 25 28 20 28 25 21 Biology (y) 20 22 24 a Find the mean of the mathematiCs test results. b Find the mean of the biology test results. * Hence predict the biology test result for someone who got 40 in their mathematics test Calculate both means using your GDC by eye. a i = 32.75 b j = 25.25 Plot the mean point (32.75, 25.25) on the scatter diagram. Draw a line of best fit through the mean point so that there is roughly an equal number of points above and below the line y 50 45 40 Do not forget to label the mean point, M. 35 30 M Biology 25 20- 15 10 10 15 20 25 30 35 40 45 50 Mathematics d 28 Find the y-coordinate for the point at which the line of best fit crosses the line x = 40. Exercise 6E For each set of data: a i Plot the points on a scatter diagram. ii Describe the type of correlation. 10 11 12 13 14 15 16 17 18 y 18 20 19 21 24 23…