It is shown that 20 percent of all persons given a certain medication get drowsy within two minutes. Find the probabilities that among fourteen persons given medication a) at most two will get very drowsy within two minutes b) at least five will get very drowsy within two minutes c) two,three, or four will get very drowsy within two minutes.
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- A study tracked a large group of people for 10 years. At the start of the study, 20% were heavy smokers (H), 30% were light smokers (L), and 50% were non-smokers (N). The interest of the study was whether the people in the study died during the study (D) or not die (Dc ). The probability that a light smoker died during the study was twice that of the probability of a non-smoker dying. Also, the probability that light smoker died during the study was half that of the probability of a heavy smoker dying. A randomly selected person from the study died during the study. What is the probability that this person was a heavy smoker (given they died, what is the probability they were a heavy smoker H)?8. The probability distribution of weekly sales of TV sets in a retail depot is given berow : 12 13 14 15 Demand (units) 10 11 0-05 0-10 0.25 0-40 0-15 0-05 Probability The depot earIS a profit of should be stocked ? 700 per set. If it is not sold, the loss is 300 per set. How many setsAssume that there are 4 white, 2 black and 3 red balls in a bowl. Two balls selected as randomly;a. If these selected balls assumed to be White and Black, what are the probabilities for all number of white and black ball pairsb. What is the general probability function for this experiment?c. What is marginal probability function for “white” balls?
- For numbers 5-8, refer to the following problem. The average precipitation for the first 8 months of the year is 18.35 inches with a standard deviation of 2.2 inches. Assume that the average precipitation is normally distributed.Edna is fouled hard in an exciting basketball game. It is ruled a flagrant foul, and the opponent is tossed from the game. As a result, Edna is allowed to shoot two free throws. She is a good shooter and on average makes 70% of her free throws. Assuming independence between the 2 free throws, what is the probability that Edna will miss both free throws?section 5.5 A personnel director has two lists of applicants for jobs. List 1 contains names of 24 women and 8 men, whereas List 2 contains the names of 9 women and 16 men. A name is randomly selected from List 1 and added to List 2. A name is then randomly selected from the augmented List 2. Given that the name selected is that of a man, what is the probability that a woman's name was originally selected from List 1? Round your answer to four decimal places, if necessary.
- Part 1 of 6 Determine whether the following value is a continuous random variable, discrete random variable, or not a random variable. a. The number of light bulbs that burn out in the next year in a room with 13 bulbs b. The hair color of adults in the United States c. The number of pigeons in a country d. The time it takes for a light bulb to burn out e. The number of free-throw attempts before the first shot is missed f. The number of people in a restaurant that has a capacity of 150 ..... a. Is the number of light bulbs that burn out in the next year in a room with 13 bulbs a discrete random variable, continuous random variable, or not a O A. It is a discrete random variable. O B. It is a continuous random variable. O C. It is not a random variable.A pharmaceutical company is running trials on a new test for anabolic steroids. The company uses the test on 400 athletes known to be using steroids and 200 athletes known not to be using steroids. Of those using steroids, the new test is positive for 375 and negative for 25. Of those not using steroids, the test is positive for 25 and negative for 175. What is the relative frequency of a false negative result (the probability that an athlete using steroids will test negative)? (Round your answer to two decimal places.) What is the relative frequency of a false positive result (the probability that an athlete not using steroids will test positive)? (Round your answer to two decimal places.)A major traffic problem in the Greater Cincinnati area involves traffic attempting to cross the Ohio River from Cincinnati to Kentucky using Interstate 75. Let us assume that the probability of no traffic delay in one period, given no traffic delay in the preceding period, is 0.95 and that the probability of finding a traffic delay in one period, given a delay in the preceding period, is 0.75. Traffic is classified as having either a delay or a no-delay state, and the period considered is 30 minutes. (a) Assume that you are a motorist entering the traffic system and receive a radio report of a traffic delay. What is the probability that for the next 60 minutes (two time periods) the system will be in the delay state? Note that this result is the probability of being in the delay state for two consecutive periods. = (b) What is the probability that in the long run the traffic will not be in the delay state? (Enter your probabilities as fractions.) No Traffic Delay Traffic Delay π 1 =…
- 3. A hacker breaking into a computer system has a 15% chance of breaking into a system in 3 minutes, a 35% chance after 8 minutes, and a 50% chance after 30 minutes. What is the expected time it will take the hacker to get in?An insurance company found that 2.5% of male drivers between the ages of 18 and 25 are involved in serious accidents annually. To simplify the analysis, assume that every such accident costs the insurance company $64,000 and that a driver can only have one of these accidents in a year. Complete parts (a) through (c). (b) Suppose that the company writes 1,000 such policies to a collection of drivers. What is the probability that the company makes a profit on these policies? Assume that the drivers don't run into each other and behave independently. P(profit)= (Round to five decimal places as needed.)A psychologist wanta to determine the effect of relaxing music on a person's reaction to a stressful event. Participants were randomly assigned to one of three groups. A participant was brought into a room with no windows and only one door. In the background, either soft classical music, or no music at all was playing. After a set amount of time, a fire alarm went off, and smoke started to come from under the door. A hidden video camera records the participants behavior that is later scored by the experimenter for level of panic from 0-100. Which statistical test would be best to determine if there is a significant difference between groups? One sample t test Dependent samples t test Independent t test ANOVA
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