Number 6 5) The Environmental Protection Agency must visit nine factories for complaints of air pollution.In how many different ways can a representative visit five of these to investigate in one week?6) A pharmaceutical company has just tested a new drug for asthma called Advair. The testersstate that during testing with the 100mcg dosage pill 12% of test subjects reported headaches. Ifwe assume that the testing reflects the general population's response to the drug, determine thefollowing probabilities for four people chosen at random:i) All 4 do not get headachesii) Exactly one of the four gets a headacheiii) At least 2 do not get headaches7) A password is to be made up of five characters where the first character isof the alphabet (not case sensitive) and the next four characters can be any digit from 0 to9 (digits can be repeated)What is the probability that you will guess the correct password on the second attempt?anyletter8) About half of Americans born around 1920 had blue eyes. By mid-century thatnumber dropped to a third. Immigration patterns, intermarriage, and genetics all play apart in the decline. While the drop-off has been happening for a century, the plunge in theToday only about one 1 of

Name: Number 6 5) The Environmental Protection Agency must visit nine factor
Uploaded: 2024-03-05T11:52:21.000Z
Channel: Bartleby
Description: Number 6 5) The Environmental Protection Agency must visit nine factories for complaints of air pollution.In how many different ways can a representative visit five of these to investigate in one week?6) A pharmaceutical company has just tested a new

6) i) The binomial probability distribution is, PX=x=nxpx1-pn-x In the formula, n denotes the number of trails, p denotes probability of success, and x denotes the number of success. The random variable X is defined as number of people get headaches which follows binomial distribution with sample size 4, and probability of success 0.12. The probability that all 4 do not get headaches is, PAll 4 do not get headaches=PNone of get headache=PX=0=400.1201-0.124-0=0.884=0.5997 Thus, the probability that all 4 do not get headaches is 0.5997.ii) The probability that exactly one of the four gets a headache is, PX=1=410.1211-0.124-1=4×0.12×0.883=0.3271 Thus, the probability that exactly one of the four gets a headache is 0.3271. iii) The probability that at least 2 do not get headaches is, Pat least 2 do not get headaches=Pless than 2 of get headache=PX<2=PX=0+PX=1=400.1201-0.124-0+410.1211-0.124-1=0.5997+0.3271=0.9268 Thus, the probability that at least 2 do not get headaches is 0.9268.