A sample of 20 specimens of soil was tested under shear, and water absorption tests. 8 of them failed in shear test, while 4 was failed in water absorption test and 2 failed in both. Find the following probabilities if a random sample is selected? 1-Failed in one of them at least? 2-Failed in one of them at most? 3-If it is failed in shear to be failed in absorption? 4-1f it is good in absorption to be bad in shear?

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

A: Given, Probability of defective = p = 0.01 n = 8 This is the case of  binomial probability, R ~ B(n,…

Q: The owner of a small deli is trying to decide whether to discontinue selling magazines. He suspects…

A: Given: probability(p)=0.073               (7.3%)sample size(n)=13number of success (x)=2 x follows…

Q: A manufacturing firm finds that 70% of its new hires turn out to be good workers and 30% turn out to…

A:

Q: What is the probability that at most 4 out of 5 selected offspring will have two recessive genes

A: here p=0.25 n=5 here use binomial distribution each trial independent finite number of trial there…

Q: if a relay is selected at random from the output of the company, what is the probability that it is…

A: Let us define some events A : a relay is from plant 1. B : a relay is from plant 2. C : a relay is…

Q: Based on a poll taken at MSJC, 60% of students believe in ghosts. Assuming that we randomly select 7…

A: Obtain the probability that if the result of 1 MSJC student believing in ghosts is significantly…

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

A: a). Consider a random variable r, that defines the number of defective items. Here, n = the number…

Q: A large 24-hour self-service gas station experiences an average of 1.6 "drive-offs" (gas and dash,…

A: (a) The probability that exactly 2 drive offs in any given week is obtained below: Let X follows the…

Q: Q4/ A sample of 20 specimens of soil was tested under shear, and water absorption tests. 8 of them…

A: As per our guidelines,we are allowed to answer three sub-parts only   Total specimens = 20 Specimens…

Q: A store owner complains that, on the average, 2 bottles per case of a certain brand of  softdrink…

A:

Q: In a large IT company, 70% of programmers are male while 25% know Python. Eighteen percent of the…

A: Given that  70% of programmers are male  25% know Python 18% of the programmers are male and know…

Q: A sample of 20 specimens of soil was tested under shear, and water absorption tests. 8 of them…

A:

Q: The damage in a structure after an earthquake can be classified as either none, light, or heavy. For…

A: The probabilities that it will suffer light and heavy damages after an earthquake are 2.5% and 1%,…

Q: A survey of eating habits showed that approximately 4% of people in a certain city are vegans.…

A:

Q: At a tune-up and brake repair shop, the manager has found that a car will require a tune-up with…

A: A= Tune up B= Repair job

Q: c) A local jam production company is confident that 60% of the population will like its new…

A:

Q: Suppose X has a binomial random variable with n = 50 and p =0.4, then which one of the following…

A: we have given that,  X has a  binomial distribution with n= 50 and p= 0.4, Binomial (n=50, p= 0.4)…

Q: damage during the next earthquake is 50%. (a) For a new structure, what is the probability that it…

A:

Q: When a scientist oonducted a genetics experiments with peas, one sample of offspring consisted of…

A: (a) Obtain the probability of getting 710 or more peas with the red flowers. The probability of…

Q: A company producing electric relays has three manufacturing plants producing 50, 30, and 20 percent,…

A: Given: 50%, 30% and 20% are electric relay produced by a company in three manufacturing plants. The…

Q: It is known that 51% of American college students fail a course during their freshman year. A…

A: Given: P = 0.51 n = 9 X = 3 Formula Used: Test-statistic Z = p^-PP(1-P)n

Q: A screening test for cancer has a low false positive rate and a low false negative rate, in that,…

A:

Q: In a' cross-breeding experiment with plants at certain species 240 offspring were classified into 4…

A: The chi square test is used to test whether there is any significant relationship between the…

Q: A sample of 100 students is to be taken to determine which of two brands of beer is preferred in a…

A: Let p be the proportion of people in the general population that prefer brand A to B. As it is given…

Q: what proportion of offspring will be of use to him? What is the probability that, in 100 such…

A: Here given plant breeder knows by experience that when he crosses 2 varieties of currant, 10% of the…

Q: In a 300-person focus group, 60% of participants like durian. It turns out that people who like…

A: Given information: n = 300 Number of people who like durian=0.60*300=180Number of people who do not…

Q: c) A local jam production company is confident that 60% of the population will like its new…

A: Solution: 1. c. From the given information, the probability that the population will like its new…

Q: At a tune-up and brake repair shop, the manager has found that a car will require a tune-up with…

A: The probability that a car will require a tune-up is P(Tune)=0.6 The probability that a car will…

Q: Q2/ A Manufacturing Company has three branches of factories in China, Turkey and Iraq, all of those…

A:

Q: A biomedical research company produces 47% of its insulin at a plant in KC and the remainder is…

A: Let us define the events: KC: Insulin produced in at a plant in KC.J: Insulin produced in at a plant…

Q: Among 15 male applicants for a postal service job, nine have working wives. If 3 of the male…

A: Solution: Note: Hello! As you have posted more than 3 sub parts, we are answering the first 3…

Q: The preference for the color of a car changes over the years and according to the particular model…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: A biomedical research company produces 41% of its insulin at a plant in Kansas City, and the…

A: Let us define some events A : insulin come from the plant in Kansas city. B : insulin come from the…

Q: In a certain examination, 80% of the candidates pass English and 75% pass French, whereas 15% fail…

A:

Q: A manufacturer of metal pistons finds that on the average, 12% of his pistons are rejected because…

A: This is the case of binomial, as there are two possible outcomes with a fixed number of trials.…

Q: In a certain examination, 80% of the candidates pass English and 75% pass French, whereas 15% fail…

A:

Q: a class, there are 20% girls and 80% boys. Students are either In OBL or CBL Suppose 10% of the…

A:

Q: In 1983, Daniel Kahneman and Amos Tversky posed the now famous "Linda" problem, asking participants…

A: We have to find test statistic for one sample proportion test. Formula : z = p^ - pp(1-p)n Where ,…

Q: In a large IT company, 70% of programmers are male while 25% know Python. Eighteen percent of the…

A: Given that P(male) = 0.70 P(know python) = 0.25 P(male and know python) = 0.18

Q: A biomedical research company produces 50% of its insulin at a plant in Kansas City, and the…

A: Introduction: Bayes’ theorem: Consider events A1, A2, …, Ak, and B (non-null). Now, the probability…

Q: Samples of skin experiencing desquamation are analyzed for both moisture and melanin content. The…

A:

Q: In a certain type of automobile engine, the cylinder head is fastened to the block by 10 bolts, each…

A:

Q: In a 300-person focus group, 60% of participants like durian. It turns out that 9. people who like…

A: Given information is : In a 300-person focus group, 60% of participants like durian. It turns out…

Q: A sample of 20 specimens of soil was tested under shear, and water absorption tests. 8 of them…

A:

Q: At the Washington University 35%, 25% and 40% of the students in Calculus are taught by Prof. A,…

A: It is a problem of conditional probability.

Q: A questionnaire asks shareholders of a company to state whether they consider the chairman’s salary…

A: Given data: Probabilities are: Too High: 0.82 About Right: 0.12 Too Low: 0.05 Number of shareholders…

Q: A jury pool has 19 men and 25 women, from which 12 jurors will be selected. Assuming that each…

A:

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

A: Giventotal number of syringes taken from batch = 8  Probability of defective syringes = p = 0.05…

Q: Of 9 randomly selected male students, X¡ used Apple computer, whereas of 12 randomly selected female…

A: Given that among 7 male students X1 used Apple computer.So, p1=X17Given that among 12 female…

Q: A random sample of 750 registered voters in Phoenix is asked if they favor the use of oxygenated…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…