Forty-six percent of adults did not visit their physicians' offices last year. Let X be the number of adults in a random sample of twelve adults who did not visit their physician's office last year. Let P₁, P2, P3, and P4 be the probabilities, respectively, that the number of adults who did not visit their physician's office last year will be: • exactly one; • two or more; • fewer than three; • between seven and nine, inclusive. Then the values of P₁, P2, P3, and P4 are, respectively, (Choose one from the following which is closest to the correct answer)

Use the following results from a test for marijuana use, which is provided by a certain drug testing company. Among 142 subjects with positive test results, there are 23 false positive results; among 150 negative results, there are 3 false negative results. i one of the test subjects is randomly selected, find the probability that the subject tested negative or did not use marijuana. (Hint: Construct a table.) The probability that a randomly selected subject tested negative or did not use marijuana is (Do not round until the final answer. Then round to three decimal places as needed.)

I need help with a, b, c and d.

11 Assume that the critic finds that 30 percent of the movies have positive comments about the plot, 55 percent have positive comments about the acting, and 35 percent were not given positive comments about either plot or acting. What is the probability that a randomly selected movie was given positive comments about both plot and acting?

Data was collected and placed into the following table.           Brown eyes        Blue eyes male      10                        13 female    14                        15 if someone who participated in the study is randomly selected, find the following probabilities. ( please use fractions and not decimals). A. P(Male B. P( female and brown eyes) C. P(Male or brown eyes) D. P( Female  l  blue eyes) E. P( Brown eyes  l  male) show work please!

In an inspection of automobiles in a certain Country, 60% of all automobiles had emissions that did not meet EPA regulations. For a random sample of 10 automobiles, compute the following probabilities: a. All 10 automobiles failed the inspection. b. Exactly 6 of the 10 failed the inspection. c. Six or more failed the inspection. d. All 10 passed the inspection.

At the beginning of each day, a patient in the hospital is classifed into one of the three conditions: good, fair or critical. At the beginning of the next day, the patient will either still be in the hospital and be in good, fair or critical condition or will be discharged in one of three conditions: improved, unimproved, or dead. The transistion probabilities for this situation are                                         Good    Fair    Critical                        Good         0.65     0.20    0.05                        Fair            0.50     0.30     0.12                        Critical       0.51     0.25     0.20               Improved       Unimproved         Dead Good       0.06               0.03                    0.01 Fair          0.03               0.02                    0.03 Critical     0.01               0.01                    0.02   For example a patient who begins the day in fair condition has a 12% chance of being in critical condition the next day and a 3%…

A gas station has three grades of fuel, regular, premium and diesel. Due to problems with the supply chain, the probabilities that the station will run out of any three fuel types in a week are 0.10, 0.16 and 0.24, respectively. These probabilities are statistically independent. Also, if there is a shortage of diesel, the probability of a shortage of premium becomes 0.25. 1. How likely is the station to run out of all three fuels in a given week? 2. What is the probability that if regular runs out, both premium and diesel will also run out? 3. What is the probability that the station will run out of at least one of either premium and diesel? 4. What is the probability that the station will run out of at least 2 of the fuels in a week?