A and B are independent events. If Pr(A n B) = 0.16 and Pr[A] = 0.2 what is Pr[B]?
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- When a man observed a sobriety checkpoint conducted by a police department, he saw 667 drivers were screened and 4 were arrested for driving while intoxicated. Based on those results, we can estimate that P(W) = 0.00600, where W denotes the event of screening a driver and getting someone who is intoxicated. What does P (W) denote, and what is its value? What does P(W) represent? O A. P(W) denotes the probability of a driver passing through the sobriety checkpoint. O B. P(W) denotes the probability of driver being intoxicated. O C. P(W) denotes the probability of screening a driver and finding that he or she is not intoxicated. O D. P(W) denotes the probability of screening a driver and finding that he or she is intoxicated. P(W) =O (Round to five decimal places as needed.)A commuter must pass through three traffic lights on her way to work. For each traffic light, the probability that it is green when she arrives is 0.6. The lights are independent. 3 (a) Compute the probability that all three lights are green. (b) The commuter goes to work five days per week. Let X be the number of times out of the five days in a given week that all three lights are green. Assume the days are independent of one another. Determine the distribution of X. (c) Calculate P(X= 3).Solve c,d
- assume that Pr[A] = 0.45, Pr[B] = 0.35, and Pr[A n B] = 0.25. Compute the following conditional probabilities: (1) Pr[A|B] = (2) Pr[B|A] =PavanJ and K are independent events. P(J | K) = 0.93. Find P(J) %3D P(J)% = Hint: Independent Events Video on Independent Events +1 Submit Question 17,214 4. NOV 17 étv 3D MacBook Air
- A poll of 220 students at a university reveals that 80 are taking a lab science course, and 55 are members of the Honors College, while 18 are taking a lab science and are members of the Honors College. Let L = the event that a student is taking a lab science, and H= the event that a student is a member of the Honors College. Complete parts (a) through (e) bel d. A student is randomly chosen. Find P(LH) and P((LH)) and explain what each number represents. P(LnH) (Simplify your answer.) = P((LnH)) = (Simplify your answer.) Explain what P(L n H) and P ((LH)) represent. Choose the correct answer below. O A. P(LnH) is the probability a student is taking a lab science and is a member of the Honors College. P ((LH)') is the probability a student is not taking a lab science or is not a member of the Honors College. O B. P(LnH) is the probability a student is taking a lab science or is a member of the Honors College. P ((LH)') is the probability a student is not taking a lab science or is not…The probability that a student at a university is a male is 0.48, that a student is a business major is 0.14 and that a student is a male and a business major is 0.06. Find the probability that a randomly selected student from this university (a) is a male or business major. (b) is a male given that he is a business major. (c) is either a male or a business major but not both. (d) is neither male nor business major. (e) Are male and business major independent events?A drawer holds purple socks and yellow socks. If n socks are taken out of the drawer at random, the probability that all are yellow is 1/2. What is the smallest possible number of socks in the drawer (as a function of n)?