In a certain population, 1% of all individuals are carriers of a particular disease. A diagnostic test for this disease has a 90% detection rate for carriers and a 5% detection rate for non-carriers that the diagnostic test is applied independently to two different samples from the same randomly selected individual.   What is the probability that both tests yield the same results?

Q: What is the probability that Dakota finds 5 or fewer defective batteries?

A: Given, of all tablet computer batteries produced are defective. Let us  be the random variable…

Q: Suppose a county’s recent health report gives a pet allergy prevalence of 0.23 for kids. There is a…

A: Given: Probability of pet allergy prevalence, P(A)=0.23 kids Probability of no pet allergy…

Q: A survey conducted on a randomly selected day for an ice cream truck showed that 68% of customers…

A: The conditional probability is computed as PAB=PA∩BPB

Q: A recent survey showed that the probability of a student using an on-line motorcycle taxi is 0.6.…

A: From the provided information, Probability of a student using an on-line motorcycle taxi is 0.6. Let…

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

A:

Q: Approximately 4% of all cases of tularemia are resistant to strepto mycin, and 25% of all cases are…

A: Probability of an event is computed by taking the ratio of number of favourable outcomes to total…

Q: A pharmaceutical company claims that only 5% of patients experience nausea when they take a drug. In…

A: We have given that X be a random variable that is patients experience nausea is follow Binomial…

Q: In the population of the USA, estimates suggest that 1 in every 250 people (0.4%) has been infected…

A: Using the given information to make the tree diagram is, The probability is,

Q: What is the probability they will have type O blood and Rh negative?

A: Given that, P(type O blood) = 44% = 0.44 P(type A blood) = 42% = 0.42 P(type B blood) = 10% = 0.10…

Q: Data compiled by Berks County on the number of convicted shoplifters in 2019 revealed that 62% were…

A: Let M and F be the event represent that number of convicted shoplifter are male amd female with…

Q: It has been found that 1 out of every 10 people who visit a local store purchasecigarettes. If we…

A: Binomial distribution: The binomial distribution gives the probability of number of successes out of…

Q: A real-estate agent conducted an experiment to test the effect of selling a staged home vs. selling…

A:

Q: Robert Smith uses either regular plowing or minimal plowing to prepare the cornfields on his…

A: Given: Probability of regular plowing is, P(R)=40%=0.4 Probability of  high-yield acres from…

Q: What is the probability of a randomly selected student from a university being both a female and…

A:

Q: In a study of 474,508 cell phone​ users, it was found that 197 developed cancer of the brain or…

A: Given, n = 474508 p = 0.000472

Q: The quality-control inspector of a production plant will reject a batch of syringes if two or more…

A: Sample size 'n' = 10probability of the syringe being defective 'p'= 1% = 0.01

Q: n investigated the level of contamination in the stored cartridges and found that in a sample of 158…

A: Given Total number of cartridge (N) =158 Number of contaminated cartridge =29 Number of "clean "…

Q: Males and females are observed to react differently to a given set of circumstances. It has been…

A: Let, +Ve = React positively.-Ve = React negatively.M = male and F = female.According to the given…

Q: A small monster collector has captured ten Grass-type small monsters. Each Grass-type small monster…

A: Given, A small monster collector has captured ten Grass type small monster. Each Grass type small…

Q: A certain group of women has a 0.79% rate of​ red/green color blindness. If a woman is randomly​…

A: Solution: From the given data, The probability that women in a certain group has red/green color…

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 certain hospital claims that 70% of the patients die of chronic diseases.  What is the probability…

A: Solution-: Let, X= Number of  patients recover of chronic diseases among 6 randomly selected…

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

A:

Q: A certain prescription drug is known to produce undesirable side effects in 35% of all patients who…

A:

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: 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 labor statistician claims that 6% of the labor forces will be laid off likely  to pandemic impact.…

A: Solution: According to a labor statistician's claim, 6% of the labor forces will be paid off. Let p…

Q: disease occurs in 1% of the population. A diagnostic test gives a positive result in: 99% of people…

A: Find P(disease/ positive) = ?

Q: Suppose a county’s recent health report gives a pet allergy prevalence of 0.15 for kids. There is a…

A: Given data, P(Positive | Not have allergy)=0.07 P(Not have allergy)=1-0.15=0.85 P(Negative |…

Q: A sample of 400 adults found that 82 have high blood pressure. However, 98 of those studies reported…

A: Given data, Total number of adults n=400 No of people that are unwilling to change diet =98 P(he or…

Q: A medical test is used to detect a particular disease. Suppose that 0.2% of the population has the…

A: We have to use Bayes theorem to find the conditional probability.

Q: People with restless leg syndrome have a strong urge to move their legs to stop uncomfortable…

A: Drawing a tree diagramLet F denotes fibromyalgia and L denotes Leg syndrome The data is shown in the…