Determine whether the given procedure results in a binomial distribution. If it is not binomial, identify the requirements that are not satisfied. Treating 50 bald men with a special shampoo and recording how they say their scalp feels Choose the correct answer below. O A. Yes, because all 4 requirements are satisfied. O B. No, because the probability of success does not remain the same in all trials. O C. No, because there are more than two possible outcomes O D. No, because there are more than two possible outcomes and the trials are not independent.In a clinical trial of a drug used to help subjects stop smoking, 868 subjects were treated with 1 mg doses of the drug. That group consisted of 32 subjects who experienced nausea. The probability of nausea for subjects not receiving the treatment was 0.0093. Complete parts (a) through (c). a. Assuming that the drug has no effect, so that the probability of nausea was 0.0093, find the mean and standard deviation for the numbers of people in groups of 868 that can be expected to experience nausea The mean is people. (Round to one decimal place as needed.) The standard deviation is |people. (Round to one decimal place as needed.) b. Based on the result from part (a), is it unusual to find that among 868 people, there are 32 who experience nausea? Why or why not? O A. It is not unusual because 32 is outside the range of usual values. O B. It is unusual because 32 is outside the range of usual values. O C. It is unusual because 32 is within the range of usual values O D. It is not unusual because 32 is within the range of usual values. c. Based on the preceding results, does nausea appear to be an adverse reaction that should be of concern to those who use the drug? O A. The drug does appear to be the cause of some nausea. Since the nausea rate is still quite low (about 4%), it appears to be an adverse reaction that does not occur very often. O B. The drug does not appear to be the cause of any nausea. O C. The drug does appear to be the cause of some nausea. Since the nausea rate is quite high (about 4%), it appears to be an adverse reaction that occurs very often.A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 16 tablets. The entire shipment is accepted if at most 2 tablets do not meet the required specifications. If a particular shipment of thousands of aspirin tablets actually has a 4.0% rate of defects, what is the probability that this whole shipment will be accepted? The probability that this whole shipment will be accepted is (Round to three decimal places as needed.)Assume that 12 jurors are selected from a population in which 50% of the people are Mexican-Americans. The random variable x is the number of Mexican-Americans on the jury. X 0 1 2 3 4 5 6 7 8 9 10 11 12 P(x) 0.000 0.003 0.016 0.054 0.121 0. 193 0.226 0.193 0.121 0.054 0.016 0.003 0.000 a. Find the probability of exactly 8 Mexican-Americans among 12 jurors P(8) = b. Find the probability of 8 or fewer Mexican-Americans among 12 jurors. The probability of 8 or fewer Mexican-Americans among 12 jurors is c. Which probability is relevant for determining whether 8 jurors among 12 is unusually low. the result from part (a) or part (b)? O A. The result from part (a). because it measures the probability of exactly 8 successes. O B. The result from part (b), because it measures the probability of 8 or fewer successes. d. Is 8 an unusually low number of Mexican-Americans among 12 jurors? Why or why not? O A. No, because the relevant probability is greater than 0.05. O B. No, because the relevant probability is less than or equal to 0.05. O C. Yes, because the relevant probability is less than or equal to 0.05. O D. Yes, because the relevant probability is greater than 0.05.In a region, there is a 0.7 probability chance that a randomly selected person of the population has brown eyes. Assume 12 people are randomly selected. Complete parts (a) through (d) below. a. Find the probability that all of the selected people have brown eyes. The probability that all of the 12 selected people have brown eyes is (Round to three decimal places as needed.) b. Find the probability that exactly 11 of the selected people have brown eyes. The probability that exactly 11 of the selected people have brown eyes is (Round to three decimal places as needed.) c. Find the probability that the number of selected people that have brown eyes is 10 or more The probability that the number of selected people that have brown eyes is 10 or more is (Round to three decimal places as needed.) d. If 12 people are randomly selected, is it unusual for 10 or more to have brown eyes? O A. No, because the probability that 10 or more of the selected people have brown eyes is less than 0.05 O B. No, because the probability that 10 or more of the selected people have brown eyes is greater than 0.05. O C. Yes, because the probability that 10 or more of the selected people have brown eyes is greater than 0.05. O D. Yes, because the probability that 10 or more of the selected people have brown eyes is less than 0.05