# STA 2023 Identify the given random variable as being discrete

1.Identify the given random variable as being discrete or continuous. The height of a randomly selected studentDiscrete or Continuous2.In a clinical trial of a drug used to help subjects stop smoking, 758 subjects were treated with 1 mg doses of the drug. That group consisted of 43 subjects who experienced nausea. The probability of nausea for subjects not receiving the treatment was 0.0121.A.The mean is _____PeopleB.The standard deviation is_____people.Based on the result from part (a), is it unusual to find that among 758 people, there are 43 who experience nausea? Why or why not?A. It is unusual because 43 is outside the range of usual values.B. It is unusual because 43 is within the range of usual values.C.It is not unusual because 43 is outside the range of usual values.D. It is not unusual because 43 is within the range of usual values.Based on the preceding results, does nausea appear to be an adverse reaction that should be of concern to those who use the drug?A. The drug does appear to be the cause of some nausea. Since the nausea rate is still quite low (about 6 %), it appears to be an adverse reaction that does not occur very often.B.The drug does not appear to be the cause of any nausea.C.The drug does appear to be the cause of some nausea. Since the nausea rate is quite high (about 6%), it appears to be an adverse reaction that occurs very often3.Determine whether the given procedure results in a binomial distribution. If it is not binomial, identify the requirements that are not satisfied.Recording the genders of 50 people in a statistics class nothingChoose the correct answer below.A.No, because there are more than two possible outcomes and the trials are not independent.B.No, because the probability of success does not remain the same in all trials.C.No because there are more than two possible outcomes.D.Yes , because all 4 requirements are satisfied.4.A TV show, Lindsay and Tobias, recently had a share of 25 meaning that among the TV sets in use, 25% were tuned to that show. Assume that an advertiser wants to verify that 25% share value by conducting its own survey, and a pilot survey begins with 15 households having TV sets in use at the time of a Lindsay and Tobias broadcast.a.Find the probability that none of the households are tuned to Lindsay and Tobias_____(Round to three decimal places as needed.)b.Find the probability that at least one household is tuned to Lindsay andTobias._______( round to the three decimals plases as needed)C.Find the probability that at most one household is tuned to Lindsay and Tobias nothing____D.If at most one household is tuned to Lindsay and Tobias, does it appear that the 25% share value is wrong? Why or why not?5.Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial.n=15,x=3,p=0.15P(3)=______ ?