Random assignment Researchers recruited 20 volunteers—8 men and 12 women to take part in an experiment involving a new drug and a placebo. They randomly assigned the subjects into two groups of 10 people each. To their surprise, 6 of the 8 men were randomly assigned to the new drug treatment. Should they be surprised? Find the probability that the random assignment would put 6 men in the new drug treatment group purely by chance.

Q: Our class is creating a new academic team, the Data Managers. The team will have 4 members to…

A: Given that: Team = 4 members  Class want to be on the team  = 10 We pick a random out of 10

Q: in a certain town, 25% of people commute to work by bicycle. if a person is selected randomly from…

A: According to the provided information, 25% of people commute to work by bicycle.

Q: In a group of students, 70% are taking an English class and 19% are taking a Chemistry class. Among…

A: Given that, P(E)= 70% = 0.70 P(C)= 19%= 0.19 P(C/E)= 7%= 0.07 P(C Ω E)=?

Q: Find the probability for the experiment of drawing two marbles at random (without replacement) from…

A: Topic = Probability

Q: Among the adults in a large city, 30% have a college degree. A simple random sample of 100 adults is…

A:

Q: In an assembly of 200 people there approximately 2% of them are civil engineers. If we randomly…

A: Givenn=200p=0.02x=no.of people being civil engineersx~Binomial(n=200,p=0.02)P(X=x)=Cxn px (1-p)n-x…

Q: Among the adults in a large city, 34% have a college degree. A simple random sample of 100 adults is…

A:

Q: In a statistics class, there are 18 male and 10 female students; 6 of the females are from the…

A:

Q: In Wyoming, there are about 300,000 registered voters, of whom 30,000 are Democrats. A survey…

A: Given that  N=300000 , X=30000 , n=900 p=X/N=30000/300000=0.10

Q: The probability that a can of paint contains contamination is 3.23% and the probability of a mixing…

A: Concept of General Addition Rule: For any two events A and B the General Addition Rule states that:

Q: A teacher of a class of 25 students is trying to decide whether her class will play soccer, or…

A:

Q: In a study of 44 patients at a rural hospital, there were 9 females in the ICU, 6 females in the…

A:

Q: In a mathematics conference attended by 50 members, if 20% speak Arabic, 20% speak English, and 40%…

A: Given that in a mathematics conference attended by 50 members, if 20% speak Arabic, 20% speak…

Q: A jewelry supplier has a supply of earrings which are  10% platinum.  A store owner orders 5 sets of…

A:

Q: A survey reveals that 20% of the girls are Riphah come from remote areas. If 20 Riphah Girls are…

A: Binomial distribution is discrete distribution that deals with the probabilities of success and…

Q: In a batch of 2000 calculators , there are, on average, 8 defective ones. If a random sample of 150…

A:

Q: On average, hotel guests who take elevators weigh about 160 pounds with an SD of about 40 pounds. An…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: Do pets and their owners look alike? In an experiment, a statistics student provided subjects with a…

A: From given data we have : X=16n=25 Thus sample proportion p^=Xn   =1625=0.64  Total simulation is…

Q: In a certain town, 4% of people commute to work by bicycle. If a person is selected randomly from…

A: The odds of an event A is the ratio of the number of unfavorable choices for the event to the number…

Q: A group of students consisting of 20 males and 20 females were selected to participate in a research…

A: The number of male students is 20 and the number of female students is 20.

Q: In 2002, approximately 39% of the people eligible to vote in mid-term elections voted. Suppose you…

A: Number of trials n=7Success of probability p=0.39X~binomial (n,p)nCx=n!/x!(n-x)!Probability mass…

Q: On a multiple-choice test, each question has 5 answers, only one of which is correct. A student…

A: The number of questions answered are 3. The number of answer are 5.

Q: A biologist estimate that 70% of the deer carry a type of tick. For a sample of 300 deer random,…

A: Given P=70% n=300

Q: A colony of laboratory rats contain 16 white rats and 9 spotted rats.What is the probability of…

A: Introduction:Probability of an event is the number of outcomes favorable to the event, divided by…

Q: n a certain county in Michigan, the rate of vaccinated school-aged children is 86%. If 30 children…

A: P(Vaccinated) = p = 0.86sample size : n = 30X = Number of vaccinated childrenP(x=25) = ? Number of…

Q: At a cell phone assembly plant, 85% of the cell phone keypads pass inspection. A random sample of…

A: given  p=0.85 n= 122

Q: A three-person jury is to be selected, at random, from a pool that has 6 people with green eyes and…

A: A pool that has 6 people with green eyes and 6 people with blue eyes. A 3-person jury is to be…

Q: Ashley conducted an experiment to see which one of her friends has the best sense of smell. She…

A:

Q: If you have a sample of 100 patients at a hospital and 20 of them have the flu, what is the…

A: Given data: The total numbers of patients are n=100. The numbers of patients who have flu are f=20.…

Q: A circle of friends consist of 10 individuals. 3 of them likes chocolate, 2 likes strawberry and 5…

A: Number of total friends are 10. Number of friend like chocolate is 3. Number of friend like…