A test with 93% sensitivity and 85% specificity is used to screen a population for a disease with 2% prevalence. Within the group of people who test positive, the probability of actually having the disease is closest to: O 10.9% O 5.9% O 19.9% O 33.3% O 11 2%
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- In the experiment of tossing a coin 11 times. The probability of getting three heads at the most Select one: a. 0.080566 b. 0.113281 c. 0.125000 d. 0.005371 e. 0.000488 f. 0.500000 g. 0.0268551% of those aged 15-49 are infected with HIV. in blood test for HIV 36 blood samples from 36 people are combined. what is the probability that the combined sample tests positve for HIV?Every year, many people hiking the Australian Outbacks are reported to be lost, and around 44% of them are eventually found by rescue missions. 73% of the people who were rescued were found to carry an emergency GPS locator, whereas 25% of the people who were not rescued were known to carry a similar locator. a. If a lost hiker is carrying an emergency GPS locator, what is the probability of them being rescued? Answer in exact fraction, or rounded to at least 4 decimal places b. If a hiker gets lost without a GPS locator, what is the probability that they will not get rescued? Answer in exact fraction, or rounded to at least 4 decimal places
- In an experiment, college students were given either four quarters or a $1 bill and they could either keep the money or spend it on gum. The results are summarized in the table. Students Given Four Quarters Students Given a $1 Bill O.A.0.659 Find the probability of randomly selecting a student who spent the money, given that the student was given four quarters. OB.0.675 OC.0.292 Purchased Gum 27 14 OD.0.307 Kept the Money 13 34The magazine Sports Illustrated asked a random sample of 250 Division I college athletes, "Do you believe performance enhancing drugs are a problem in college sports?" Suppose that 30% of all Division I athletes think that these drugs are a problem. What is the probability that more than 35% of those interviewed admit performance enhancing drugs are a problem in college sports? a 0.2376 O b 0.5721 O c 0.9578 O d 0.0422Alex makes mistakes in a with an average of 1.2 mistakes per class. In a given class, what is the probability that Alex makes exactly 4 mistakes? NOTE: ROUND OFF your answer to FOUR DECIMAL places. What is the product of the number of trials in a Bernoulli Experiment and the probability of a “successful” trial?
- The prevalence of glaucoma in elderly people among high-risk populations within a city is approximately 5%. Suppose a mobile unit is sent to various neighborhoods throughout the city to identify subjects for a new glaucoma study. If the unit evaluates 500 people, what is the probability of identifying at least 20 cases of glaucoma?Zachary works as a quality control engineer at Ford Motor Company. One of his job responsibilities is estimating the proportion of defective engines coming off a production line. The production line setting allows for a defective rate of 5%. In a periodical quality checkup, Zachary selected 100 engines that came off the production line. What is the chance Zachary will find more than 10 defective engines? The corresponding Z score is _____In a certain town, 62% of the residents enjoy riding roller coasters. Alfred takes a sample of 75 residents from this town. What is the probability that fewer than 58% of the residents in the sample enjoy riding roller coasters? 0.238 0.433 0.714 0.762
- When practicing basketball, Rachel has a 67% chance of making a free throw. She shoots 12 free throws. Let the random variable X be the number of free throws she makes. Find the probability she makes exactly 5 free throws. Give your answer to at least three nonzero decimal places. What is the expected value of X. Interpret this value.The mean height of women in a country (ages 20 -29) is 63.9 inches. A random sample of 55 women in this age group is selected. What is the probability that the mean height for the sample is greater than 64 inches? (Assume o= 25.2 and round off the answer to 1 decimal point if necessary) O 0.6 0.3 0.4 O 0.7 0.5Compare the probability distribution for rolling a single 6-sided die to the probability distribution for the mean of two 6-sided dice (draw the histograms).