A biotechnology company produced 178 doses of somatropin, including 11 which were defective. Quality control test 12 samples at random, and rejects the batch if any of the random samples are found defective. What is the probability that the batch gets rejected?

Q: at random for analysis, what is the probability that the traveler will be arrested for illegal…

A: To avoid detection at customs, a traveler places 6 narcotic tablets in a bottle containing 9 vitamin…

Q: The National Health Examination Survey reported that in a sample of 13,546 adults, 6638 had high…

A: The probability of an event is calculated by dividing the number of ways the event can occur by the…

Q: Twenty-four percent of executives say that older workers have blocked their career advancement.…

A: Fifty executives are randomly selected and are asked if they think that older workers have blocked…

Q: According to the National Health and Nutrition Examination Survey (1999-2008), 35.7% of U.S. adults…

A: The probability of the adults considered obese is 0.357.

Q: n a genetics experiment on​ peas, one sample of offspring contained 390 green peas and 141 yellow…

A:

Q: In 2009, the CDC estimated that 1,100,000 of the 305,000,000 residents of the United States are…

A: Given: The total number of residents of the United states is N=305,000,000. The number of residents…

Q: Eleven percent of American children (ages 4 to 17) have Attention Deficient Hyperactivity Disorder…

A:

Q: The medication Nealapril is used to lower high blood pressure. It is known to cause headaches in…

A: We have given that,  Let X be the random variable from binomial distribution with probability (p)=…

Q: A new automated production process averages 3.5 breakdowns per day. Because of the cost associated…

A: Denote X as the number of breakdowns per day, which follows Poisson distribution with mean 3.5.

Q: A biotechnology company produced 202 doses of somatropin, including 9 which were defective. Quality…

A:

Q: In 2009, the CDC estimated that 1,100,000 of the 305,000,000 residents of the United States are…

A: Given- Pbeing HIV positive=1100000305000000=0.0036Ptest result is positivebeing HIV…

Q: A study showed that ​69.7% of occupants involved in a fatal car crash wore seat belts. Of those in a…

A:

Q: A reputed school when purchasing large shipments of dry erase markers for all its branches. To do…

A:

Q: A reputed school when purchasing large shipments of dry erase markers for all its branches. To do…

A: From the provided information, Total markers (n) = 40 And the whole batch is accepted if there are…

Q: The National Health Examination Survey reported that in a sample of 13,546 adults, 6638 had high…

A: Probability is equal to the number of favorable outcomes divided by the total number of possible…

Q: According to the American Red Cross, 8% of all Connecticut residents have type B blood. A random…

A: Let X be the number of CT residents who have type B blood which follows binomial distribution. Here,…

Q: A professional basketball player has an 81% success rate when shooting free throws. Let the random…

A: Given information: The percentage of success rate when shooting free throws is 81%. That is, p=0.81…

Q: When a production line is properly adjusted, it is found that 4% of the mechanical components…

A: Null Hypothesis (H0): The current setting is correct, and the defect rate is 4%. This means p =…

Q: A manufacturer of window frames knows from long experience that 5% of the production will have some…

A: given data  P(defect) = p = 0.05 sample size (n) = 20 x = no. of defective selected P(x=X) =…

Q: 66% of kids are worried about going back to school. In a random sample of 75 kids, what is the…

A: Here we need to find the required probability using binomial distribution.

Q: An experimental drug has been shown to be 75% effective in eliminating symptons of allergies in…

A:

Q: An experimental drug has been shown to be 75% effective in eliminating symptoms of allergies in…

A: Obtain the probability that the drug is effective on half of the participants. The probability that…

Q: The National Fire Incident Reporting Service stated that, among residential fires, 73% are infamily…

A: The random variables are, X1: The in family homes X2: in apartments X3: Other types of dwellings

Q: In a study, 42% of adults questioned reported that their health was excellent. A researcher wishes…

A: Let us denote X=the number of people with excellent health.n=sample size=13p=probability of…

Q: According to U.A government statistics, mononucleosis (mono) is four times more common among college…

A: From the table, we see 67 students have mono.  Of those 67 students, 35 students have a negative…

Q: 1% of those aged 15-49 are infected with HIV. in blood test for HIV 36 blood samples from 36 people…

A: The p.m.f of the binomial distribution is as follows:

Q: In a survey of 1002 people, 701 said that they voted in a recent presidential election (based on…

A: In this context, n=1002, p=0.61;X=701. Approximation with Normal Distribution: The z-score is the…

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

A: It is given that the proportion of headache sufferers who get relief with just two aspirins is 64%.

Q: In a recent survey, 70% of management executives thought that it should be  mandatory for business…

A: Solution: Let X be the number of students has not mandatory for business  to take a quantitative…

Q: As a warehouse manager, it is your responsibility to inspect a large shipment of components for…

A:

Q: Only 6% of people has 0-negative blood type. If a local blood drive has 100 donors, what is the…

A: Introduction: Denote Denote X as the number of donors with -negative blood in the local blood drive.

Q: If an affected female XLX marries an unaffected male XY, what is the probability of passing the…

A: From the given information,We have to find the probabilityUsing Formula,

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

A: It is given that, Aspirin claims that the proportion of headache sufferers who get relief with just…

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.