Question 1

Testing for a disease can be made more efficient by combining samples. If the samples from two people are combined and the mixture tests negative, then both samples are negative. On the other hand, one positive sample will always test positive, no matter how many negative samples it is mixed with. Assuming the probability of a single sample testing positive is 0.1, find the probability of a positive result for two samples combined into one mixture. Is the probability low enough so that further testing of the individual samples is rarely necessary? The probability of a positive test result is]. (Round to three decimal places as needed.) Is the probability low enough so that further testing of the individual samples is rarely necessary? O A. The probability is not low, so further testing will not be necessary for any of the mixtures. O B. The probability is low, so further testing will be necessary for all of the combined mixtures. O C. The probability is low, so further testing of the individual samples will be a rarely necessary event. O D. The probability Is not low, so further testing of the Individual samples will frequently be a necessary event. Click to select your answer(s). ?There is a 0.9988 probability that a randomly selected 29-year-old male lives through the year. A life insurance company charges $192 for insuring that the male will live through the year. If the male does not survive the year, the policy pays out $80,000 as a death benefit. Complete parts (a) through (c) below. a. From the perspective of the 29-year-old male, what are the monetary values corresponding to the two events of surviving the year and not surviving? The value corresponding to surviving the year is $. The value corresponding to not surviving the year is $]. (Type integers or decimals. Do not round.) b. If the 29-year-old male purchases the policy, what is his expected value? The expected value is $. (Round to the nearest cant as needed.) c. Can the insurance company expect to make a profit from many such policies? Why? because the insurance company expects to make an average profit of $ on every 29-year-old male it insures for 1 year. (Round to the nearest cent as needed.) Enter your answer in each of the answer boxes. (