The employees of a subsidiary that does asbestos cleanup are being tested for indications of asbestos in their lungs. The firm is asked to send four employees who have positive indications of asbestos on to a medical center for further testing. Suppose 40% of the employees have asbestos in their lungs. Let Xi be the number of employees who are screen-tested to find one who has positive indications of asbestos in his/her lungs. a. Let Y be the total number of employees tested to find four with positive asbestos in their lungs. Define Y as a function of X. Using the MGF technique, find the probability distribution of Y. b. Concerned with the cost of screening test; Lee Hu Kay would like to know the maximum number of employees tested to find one who has positive indications of asbestos in his/her lungs (Z). Given X₁, X₂, X₂ and X4, derive the distribution function of Z. c. Suppose the cost of each screening test is 5000 pesos. Let W be the total cost incurred by the company to find one employee who has positive indications of asbestos in his/her lungs. Find the distribution function of W using the CDF technique.

A certain county had a population of 34,485 people. The county hospital is interested in estimating the number of people in the county with blood type-O. To do this, they test blood samples from 228 patients. Out of this group, 10 have blood type-O. Use this sample to estimate the number of people in the county with blood type-O.

Is the average time to complete an obstacle course different when a patch is placed over the right eye than when a patch is placed over the left eye? Thirteen randomly selected volunteers first completed an obstacle course with a patch over one eye and then completed an equally difficult obstacle course with a patch over the other eye. The completion times are shown below. "Left" means the patch was placed over the left eye and "Right" means the patch was placed over the right eye. Time to Complete the Course Right 40 40 41 43 49 48 45 48 Left 37 36 41 43 48 46 46 43 Assume a Normal distribution. What can be concluded at the the a = 0.05 level of significance level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Họ: pd vV (please enter a decimal) Select an answer v H1: ud vv (Please enter a decimal) Select an answer v b. The test statistic t v- (please show your answer to 3 decimal places.) c. The p-value = (Please show…

The American Heart Association is about to conduct an anti-smoking campaign and wants to know the fraction of Americans over 33 who smoke. step 1 of 2: suppose a sample of 1267 Americans over 33 is drawn. Of these people, 913 don't smoke. Using the data, estimate the proportion of Americans over 33 who smoke. Enter your answer as a decimal number rounded to three decimal places.

Is the average time to complete an obstacle course longer when a patch is placed over the right eye than when a patch is placed over the left eye? Thirteen randomly selected volunteers first completed an obstacle course with a patch over one eye and then completed an equally difficult obstacle course with a patch over the other eye. The completion times are shown below. "Left" means the patch was placed over the left eye and "Right" means the patch was placed over the right eye. Time to Complete the Course Right 43 42 45 43 42 43|| 44 44 Left 42 42 47|| 41 42 43 46 || 44 Assume a Normal distribution. What can be concluded at the the a = 0.01 level of significance level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer v Select an answer v Select an answer v (please enter a decimal) H: Select an answer v Select an answer v| Select an answer v (Please enter a decimal) b. The test statistic ? v (please…

If a coin is flipped 225 times and the number of Hs is 75. Compute the proportion of Hs. Round to three places.

The American Heart Association is about to conduct an anti-smoking campaign and wants to know the fraction of Americans over 35 who smoke. Step 1 of 2 :   Suppose a sample of 1089  Americans over 35 is drawn. Of these people, 359 smoke. Using the data, estimate the proportion of Americans over 35 who smoke. Enter your answer as a fraction or a decimal number rounded to three decimal places.

The American Heart Association is about to conduct an anti-smoking campaign and wants to know the fraction of Americans over 38 who smoke. Step 1 of 2:  Suppose a sample of 273 Americans over 38 is drawn. Of these people, 79 smoke. Using the data, estimate the proportion of Americans over 38 who smoke. Enter your answer as a fraction or a decimal number rounded to three decimal places.   Step 2 of 2:  Suppose a sample of 273 Americans over 38 is drawn. Of these people, 79 smoke. Using the data, construct the 85% confidence interval for the population proportion of Americans over 38 who smoke. Round your answers to three decimal places.   Lower end point, upper end point

For letter B please plug in the number 6

The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. Step 1 of 2: Suppose a sample of 281 tenth graders is drawn. Of the students sampled, 56 read at or below the eighth grade level. Using the data, estimate the proportion of tenth graders reading at or below the eighth grade level. Enter your answer as a fraction or a decimal number rounded to three decimal places.