An experimental drug has been shown to be 75% effective in eliminating symptoms of allergies in animal studies. A small human study involving six participants is conducted. What is the probability that the drug is effective on half of the participants?

Q: In a Gallup Survey, 90% of the people interviewed were unaware that maintaining a healthy weight…

A: Given Information: 90% of the people interviewed were unaware that maintaining a healthy weight…

Q: In a commissioned research, the inter-collegiate swim meets management found out that an estimated…

A: GivenThe percentage of swimmers competing use performance enhancing drugs = 3% The accuracy of the…

Q: The New York Times reported that 70% of adults know someone who has been exposed to coronavirus.…

A: Givenp=0.70n=20Let "x"be someone who has been exposed…

Q: An experimental drug has been shown to be 80% effective in eliminating symptoms of allergies in…

A: If a participant is selected randomly, then there can be two possibilities either the drug is…

Q: Although studies continue to show smoking leads to significant health problems, 20% ofadults in the…

A: According to the provided information, 20% of adults in the United States smoke. Consider a group of…

Q: It has been shown by claims that have been made that 20% of parcels arrive damaged when using an…

A:

Q: A pharmaceutical company claims that 20% of those taking its new allergy medication will experience…

A: Of the people who take the new allergy medication of the company, p = 20% will experience…

Q: An experimental drug has been shown to be 85% effective in eliminating symptoms of allergies in…

A: If we have n trials each having two outcomes, say Success and Failure, trials being independent and…

Q: Although studies continue to show smoking leads to significant health problems, 20% ofadults in the…

A: a. Normal approximation to the binomial: From the given information, sample size, n = 250. The…

Q: In one study of calls to 911 in Los Angeles, it was found that 85% of the calls were not…

A: Solution: From the given information, the proportion of the calls were not emergencies is p=0.85 and…

Q: What is the probability that a randomly selected tea is mint given that the tea is caffeinated?

A: The data is given by   Caffeine-free Caffeinated Total Mint 7 7 14 Fruity 11 7 18 Total 18…

Q: After rolling a fair twenty-sided die 200 times, the observed (or experimental) probability of…

A: For a 20-sided fair die, the probability of obtaining a 20 is 1/20 = 0.05.

Q: What is the probability that a randomly selected person from the population tests positive?

A: Let us define some events A : a person has cooties. B : a person does not have cooties. E : a person…

Q: A survey reports that 53% of college students use Google as their search engine. If 100 students of…

A: From the provided information, Sample size (n) = 100 Probability (p) = 0.53 Now,

Q: On a particular production line, the likelihood that a light bulb is defective is 5%. Ten light…

A: Given data Probability that light bulb is defective = 0.05 No of bulbs = 10  probability that none…

Q: A manufacturer of aspirin claims that the proportion of headache sufferers who get relief with just…

A:

Q: Although studies continue to show diabetes leads to significant health problems, 20% of adults in…

A: Introduction: Denote X as the number of sampled adults who have diabetes. Assume that the n = 250…

Q: The Newspaper reports that among individuals in the 40 to 50 age, 45% drink coffee. If 200 people of…

A: Givenp=0.45n=200let "x" be the number of coffee…

Q: A recent study of cardiovascular risk factors reported that 30% of adults met criteria for…

A:

Q: 13 percent of the patients in a study reported previous episodes of stroke or transient ischemic…

A: Solution: Given information: n= 70 Sample size  p= 0.13 Population proportion.

Q: Suppose a recent study determined that 29% of Americans favorite ice cream flavor is If a sample of…

A:

Q: In a study of 420,000 cell phone users in Denmark, it was found that 135 developed cancer of the…

A:

Q: A national study of patients who were overweight found that 56% also have elevated blood pressure.…

A:

Q: A news article reported that there is a 60% success rate for those trying to stop smoking through…

A:

Q: According to the Cable and Telecomm. Association for Marketing, 30% of cable television subscribers…

A: Given : n = 15 p = 0.30 Let X be the number of cable television subscribers.

Q: In an eight-child family, what is the expected number of boys? (Assume that the probability of a boy…

A: Let, X= number of boys  number of observations = n =8  probability of a boy= p = 1/2  So, X follows…

Q: A fortune 500 company asked its 1520 employee this question: “Did the work condition too…

A: Given information can be shown in the table below:   Yes No Total Males 134 651 785 Females…

Q: What is the probability that a randomly selected friend tasted peaches and preferred non- organic?

A: The data is given by   Organic Non-organic Total Apples 4 3 7 Peaches 4 1 5 Toral 8 4 12

Q: In a survey of 1100 female adults (18 years of age or older), it was determined that 341 volunteered…

A: There are 341 adult females who volunteered at least once in the past year among 1100 females.   The…

Q: Andrew Whittaker, computer center manager, reports that his computer system experienced three…

A: Introduction:

Q: According to a study conducted by the Gallup organization, the proportion of Americans who are…

A: It is an importance stance in probability distribution . Binomial distribution is a discrete…

Q: A new brand of drug-free nasal strip claims to be 90% effective in relieving nasal congestion to…

A: From the given information the probability of success is 0.9

Q: A manufacturer of aspirin claims that the proportion of headache sufferers who get relief with just…

A: Given Information No of headache sufferers (n) = 400 Proportion of Headache sufferers who get relief…

Q: If a particular shipment of thousands of aspirin tablets actually has a 44​% rate of​ defects, what…

A: It is given that aspirin tablets have a 44% rate of defects. That is probability of getting a…

Q: In a study of car accident fatalities that involved impaired drivers, it was found that 535 drivers…

A: Solution: From the given information, number of drunk drivers is 535 and the number of drugged…

Q: A recent survey reported that 69% of Americans approve of human embryonic stem cell research. If an…

A: Given : Let A be the event of  Americans approve of human embryonic stem cell research. p ( A ) =…

Q: The proportion of all customers at Pizza Hut who eat on-site is 75 percent. In a sample of 100…

A: Given that  n=100 , p=25%=0.25  , q=1-p=1-0.25=0.75 σp=√(p(1-p)/n)=√((0.25*0.75)/100)…

Q: If a particular shipment of thousands of aspirin tablets actually has a 6​% rate of​ defects, what…

A: Given datap=0.06n = 21Applying Binomial theoremProbability of x success out of n trial is given by

Q: According to a recent article the average number of babies born with significant hearing loss…

A: The probability that exactly for babies were born deaf is obtained below:From the given information,…

Q: What is the probability that a randomly selected person from the population tests negative?

A: Let us define some events A : a person has cooties. B : a person does not have cooties. E : a person…

Q: Based on a poll , among adults who regret getting tattoos, 70% say that they were too young when…

A:

Q: An unbiased fair coin was tossed 15 times. What is the probability of getting exactly 8 heads?

A: We have given the following statement coin tossed 15 times.  We have to find probability of getting…

Q: A manufacturer of aspirin claims that the proportion of headache sufferers who get relief with just…

A: As our sample size is large we will assume our data to follow normal distribution. Let X be the…

Q: In a review class of 80 students, 70 passed the board exam. If a student is selected at random, what…

A:

Q: A manufacturer of aspirin claims that the proportion of headache sufferers who get relief with just…

A: Here, the given values are: Calculate the mean

Q: An oil company conducts a geological study that indicates that an exploratory oil well should have a…

A: Given: p = 0.2 q = 1 - p = 1 - 0.2 = 0.8 and  r = 3

Q: Empirical evidence suggests that 25% of Florida drivers are uninsured. If four random Florida…

A: The probability of more than one driver is uninsured can be calculated using Binomial distribution: