Q4/ A sample of 20 specimens of soil was tested under shear, and water absorption tests. 8 of them failed in shear test, while 5 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-If it is good in absorption to be bad in shear?

Q: A study was conducted to determine whether there were significant differences between medical…

A:

Q: A survey showed that 75% of adults need correction for their eyesight. If 8 adults are randomly…

A: Given that 75% of adults need correction for their eyesight. There are 8 adults in the study. Let us…

Q: Suppose that five out of 20 liver transplants done at a hospital will fail within a year. Consider a…

A: From the provided information, Five out of 20 liver transplants done at a hospital will fail within…

Q: per time Q7] Suppose that in a production of spark plugs the fraction of defective plugs has been…

A: Given data  P(defective) = p = 0.02 so p(no defective ) = 1-0.02 = 0.98  Inspect two products.  We…

Q: In a large population, 5% are infected with a certain disease. If you take a random sample of 30,…

A: Given,n=30p=0.05Let x=no.of people infected with certain diseasex~Binomial(n=300 , p=0.05)P(X=x)=Cx…

Q: Suppose that the reliability of a test for hepatitis is specified as follows: of people sick with…

A:

Q: In a town with 10,000 populations, they got a call to test a certain disease that has an incidence…

A: Consider the following events, D=a person has the diseaseD'=a person does not have the diseaseP=test…

Q: To get to work, a commuter must cross train tracks. The time the train arrives varies slightly from…

A: Given information- We have given that In a 5-day work week the commuter estimates that he'll get…

Q: The probability of a randomly selected adult in one country being infected with a certain virus is…

A: We have to find given probability.

Q: Suppose that four out of 20 liver transplants done at a hospital will fail within a year. Consider a…

A: The given case follows a Binomial distribution with parameters, p = 4/20 = 0.2 n = 3   Now, we are…

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

A:

Q: An extreme Type Il random variable X has parameters u = 6.9 andk= 4.9. What is the probability that…

A: Given that a random variable X follows an extreme Type II distribution with parameters u=6.9 and…

Q: Suppose height to the bottom of clouds is a Gaussian random variable X for which mean ax = 5000 m,…

A: A Gaussian random variable is also called a normal random variable. The distribution of the Gaussian…

Q: A certain rare blood disease affects 0.02% of the population. If the population of a randomly chosen…

A: Given: 1) Probability that blood disease affect the population, p=0.02% =0.0002 Sample size, n=1000…

Q: Suppose the null hypothesis, H0, is: a weightlifting bar can withstand weights of 800 pounds and…

A: Type 1 errorWhen the Null Hypothesis is true and when we reject it, in that case we have committed a…

Q: A quality control engineer inspects a random sampleof two hand-held calculators from each incoming…

A:

Q: t an uncontrolled T- junction, it is seen that on an average, 2 vehicles turn to the right in each…

A: Given: Average number of vehicles in 120 seconds λ=2 Let X be the number of vehicles arriving in 120…

Q: A year-long study of heart attacks in a population is to be conducted. Census data shows that 51% of…

A: Let us denote M= Male  F= Female  H= event of having a heart attack  Given,  P(F)=51%= 0.51…

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: The probability of a randomly selected adult in one country being infected with a certain virus is…

A:

Q: According to a recent study, more than 900 people move to Florida each day! In fact, data show that…

A: The random variable people who born in Florida follows binomial distribution. The sample size is…

Q: Find the probability that two random samples, each consisting of 200 voters, indicated a greater…

A: The election return showed that a certain candidate received 65% of the votes.  n1 = 200 n2  =200…

Q: The television show CSI: Shoboygan has been successful for many years. That show recently had a…

A:

Q: A random sample of n = 16 scores is obtained from a normal population with µ = 40 and σ = 8. What is…

A:

Q: The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of…

A:

Q: a 0.45 chance of concluding a deal to export agri- cultural equipment to a developing nation if a…

A: Consider A as the event that the deal is happening and B as the event the major competitor bid for…

Q: 4. It is known that individuals in a particular population have probability q = 0.45 of having high…

A: Given: Probability of having high blood pressure q = 0.45 Probability of having low blood pressure p…

Q: 5. A batch of electronic parts contains 16, which are within a power tolerance and 4, which are not.…

A: We have to answer question based on classical probability.

Q: A particular diagnostic test performs such that when an individual has the disease, a positive…

A: Let us define the events D = Person has the disease D' = Person who doesn't have the disease p =…

Q: Suppose that the time students wait for a bus can be described by a uniform random variable X, where…

A: X~ U (15 ,55 ) Find ( a ) P ( 15<X<25 ) =? ( B ) p ( x>=25 ) =?

Q: Q1) if we have values 0,1,2, and 3 and probabilities are 1 2 2 and solve by using discrete…

A: From the given information we find the solution.

Q: If the number of minutes it takes a service stationattendant to balance a tire is a random variable…

A: Let x be the number of minutes it takes a service station time balance a tire follows exponential…

Q: What happens to trees over a five-year period? A study lasting more than 30 years found these…

A:

Q: According to a recent study, 50 % of adult smokers started smoking before 21 years old. A random…

A:

Q: To reduce laboratory costs, water samples from two public swimming pools are combined for one test…

A: As per given by the question, find the probability that a combined sample from two swimming areas…

Q: For one binomial experiment, n, = 75 binomial trials produced r, = 30 successes. For a second…

A: n1 = 75, r1 = 30 n2=100, r2 = 50 level of significance = 0.05

Q: 5. A batch of electronic parts contains 16, which are within a power tolerance and 4, which are not.…

A:

Q: The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of…

A: It is given that 80% of the flights arriving on time. Then the probability that the flights arriving…

Q: The company manufactures the inverters for the synchronous motors. The quality inspector has…

A: Given: 92% of the inverters are within the correct tolerance values. A random sample of 8 inverters…

Q: A new surgery is successful  75%  of the time. If the results of  6  such surgeries are randomly…

A:

Q: A certain group of women has a 0.210.21​% rate of​ red/green color blindness. If a woman is…

A: Given DataPercentage of women having red/green color blindness = 21%Probability of women having…

Q: According to a recent study, more than 900 people move to Florida each day! In fact, data show that…

A: Givensample size(n)=237population proportion(p)=0.31Mean(μp^)=p=0.31standard…

Q: biologist estimates that the chance of germination for a type of bean seed is 0.7. A student was…

A: 1]  The chance of germination for a type of bean seed = 0.7 2] Total number of seeds = 6

Q: or one binomial experiment, n1 = 75 binomial trials produced r1 = 45 successes. For a second…

A: As per our guidelines, we are allowed to answer first three sub-parts only. Thanks     For sample 1…

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

A:

Q: Q1) 14% of the adults in a certain population are infected by a Corona Virus. Five adults are…

A:

Q: A new surgery is successful 70% of the time. If the results of 9 such surgeries are randomly…

A: Solution

Q: 3. Of all customers purchasing automatic garage-door openers, 60% purchase a chain-driven model. Let…

A: If each trial has only two possible outcomes, that is, success and failure, the probabilities of…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.