When circuit boards used in the manufacture of compact disc players are tested, the long-run percentage of defectives is 5%. Let X be the number of defective boards in a batch of 250 boards. The condition of any particular board is independent of that of any other board. What is the approximate probability that there are exactly 10 defectives inthe batch?

Q: The national weather service has issued a severe weather advisory for a particular county that…

A: Let X be the rain's start time which follows uniformly distributed between 9 p.m. and 10 p.m. which…

Q: In a certain study, the chance of encountering a car crash on the road is stated as 9%. Express the…

A:

Q: swers to four decimal places.) A USE SALT at is the probability that a randomly selected capsule…

A: The formula for Z score is, Z=X-μσμ is the population mean and σ is the population standard…

Q: The probability of event A, given that event B has occurred, can be found using Bayes's Theorem.

A: Bayes's Theorem is the theorem by which we get the conditional probability of an event. According to…

Q: The amount of juice (oz.) dispensed by the malfunctioning Keurig in the main office of the Math…

A: Let X be the amount of juice (oz.) dispensed by the malfunctioning Keurig in the main office of the…

Q: In a popular shopping centre, the waiting time for an ABSA ATM machine is found to be uniformly…

A: The PDF is given by f(x)=1b-a , here a=1,b=5 so it follows: f(x)=15-1=14,1≤x≤50otherwise

Q: For a certain instant lottery game, the odds in favor of a win are given as 31 to 69. Express the…

A: Given data for a certain instant lottery game the odds in favor of a win are given as 31 to 69

Q: For a certain instant lottery game, the odds in favor of a win are given as 63 to 37. Express the…

A: Solution: From the given information, the odds in favor of a win as 63 to 37.

Q: The units without evidence of gas leaks or electrical failure showed other types of failure. If this…

A: The data is given by   Gas Yes Gas No Total Electrical failure 55 17 72 No 32 3 35 Total 87…

Q: For a randomly selected human, what is the probability that he ... a) Is Rh negative given that he…

A: Given :

Q: Assume that a study of 500 randomly selected airplane routes showed that 482 arrived on time. Select…

A: The probability of airplane arrived late is computed as follows: The probability of an airplane…

Q: An article in the Los Angeles Times (Dec. 3, 1993)reports that 1 in 200 people carry the defective…

A: The probability of caring for a defective gene by a person is, The binomial expression for the…

Q: While conducting experiments, a marine biologist selects water depths from a uniformly distributed…

A: Continuous uniform distribution:A random variable X is said to have the rectangular distribution or…

Q: As part of a drug research study, individuals suffering from arthritis take an experimental pain…

A:

Q: The manager of Toy World has decided to accept a shipment of electronic games if none of a random…

A: Given, (a) P(X=0), n=20, p=0.14 now, the probability that he will accept the shipment if 14% of the…

Q: b. Assuming their scores are independent, what is the probability that Mr. Cull scores more than 50…

A: The probability that Mr. NH scores more than 50 points higher than Mr. Voss on a randomly-selected…

Q: For a certain horse race, the odds in favor of a certain horse finishing in second placeare given…

A: Since odds in favor of a certain horse finishing in second place are given as 73 to 27 so the number…

Q: Al b. In a town with 10.000 populations, they got a call to test a certain disease that has an…

A: Consider the events, D=a person has the diseaseP=test shows positiveN=test shows negative Since the…

Q: A local bakary has determined a probability distribution for the number of cheesecakes that they…

A: According to the given information, we have Given that a local bakary has determined a probability…

Q: During the murder trial of O. J. Simpson, Alan Der-showitz, an advisor to the defense team, stated…

A: Let M be the event "wife was murdered" And G be the event "husband is guilty" According to the given…

Q: At large factory of pipe, approximately 30% of all pipework failures in are caused by operator…

A: Solution: Let X be the number of pipework failures are caused by operator error and n be the sample…

Q: Suppose that the proportions of blood phenotypes in a particular population are as follows: A AB O…

A:

Q: From a certain provincial bus station, it will take a passenger between zero to fifteen minutes to…

A:

Q: The departure time, in hours, of a bus upon arrival at a terminal has a U(0,1) distribution. What is…

A: Solution

Q: where H and NH in the table stand for Hypertension and Nonhypertension, respectively. If one of…

A: We have given that in an experiment to study the relationship of hypertension and smoking habits.…

Q: Assume that the life of a car engine has a Weibull distribution with a=2, X= 1 per 5 years. a. What…

A: Let X : Life of a car engine  X ~Weibull(a=2, λ=1) Its pdf is given by  f(x) = λaxaλ-1e-xaλ,…

Q: The NAR estimates that 23% of all homes purchased in 2004 were considered investment properties. If…

A:

Q: According to a posting on a website subsequent to the death of a child who bit into a peanut, a…

A: Let A be the event that a person has food allergy Given, P (A) = 4% = 0.04. Let B be the event that…

Q: a) P(X 3) =

A:

Q: A sushi restaurant has prepared 16 portions of seafood, five of which had been left out too long and…

A: Let X= number of customers who will receive spoiled food So, the probability that at least one…

Q: The United States Department of Agriculture (USDA) found that the proportion of young adults ages…

A: Given that, n =500, p =0.238 The values of mean and standard deviation are,   Checking conditions:…

Q: According to an Allstate Survey, 56% of baby boomers have car loans and are making payments on these…

A: Let X denote the number in a random sample of three baby boomers who are making payments on their…

Q: It is known that the defect rate of an iPhone 3%. What is the probability that a batch of 100…

A: Has to find P( no defective ) = ? what is A intersection S

Q: The probability that a randomly selected 3​-year-old male chipmunkchipmunk will live to be 4 years…

A: Let L be the event that a 3​-year-old male chipmunk will live to be 4 years​ old and Lc be the event…

Q: Assume that a study of 500 randomly selected airplane routes showed that 482 arrived on time. 7)…

A: It is given that, Sample size, n = 500 Significance level, α = 0.05 Since 482 airplane out of 500…

Q: As determined from long experience, the number of automobiles rented per hour, X, at the Rent-A Car…

A:

Q: For any continuous random variable, the probability that the random variable takes on exactly a…

A: The probability distribution of a continuous random variable X is an assignment of probabilities to…

Q: The amount of time, in minutes, that a person must wait for a taxi is uniformly distributed between…

A:

Q: Let the random variable X represent the number of aces observed . Compute the probability Pr * (X =…

A: Given: 5 cards dealt on table x: number of aces observed

Q: A commercial for a manufacturer of household appliances claims that only 3% of all its products…

A: As per honor code we will only answer first question. Given information: P(Service call) = 0.03 n =…

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

A: It is provided that the probability, in one country a randomly selected adult being infected with a…

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

A: Given data, p=0.60 n=10 P(X<2)=?

Q: A survey determines that six out of every ten Destin residents shop at Target. In a group of 10…

A: Givenn=10p=610=0.6x=no.of residents shop at targetx~Binomial(n=10,p=0.6)P(X=x)=Cxnpx(1-p)n-x  ;…

Q: An engineering school reports that 55% of its students were male (M), 31% of its students were…

A: The probability that the students  are male is 0.55. The probability that the students are between…

Q: for a certain horse race, the odds in favor of a certain horse finishing in second place are given…

A: Given:

Q: On a certain chemistry class, a professor has observed that, on her past final exams, 72% of the…

A:

Q: A manufacturing company regularly conducts quality control checks at specified periods on the…

A: Let X denotes the number of defective LED bulbs. Here, n = sample size = 10 and p = 0.09 Thus, the X…

Q: For a certain horse race, the odds in favor of a certain horse finishing in second place are given…

A: Odds in favour:Odds in favour of an event, means the ratio between the number of favourable outcomes…

Q: In a recent survey in a Statistics class, it was determined that only 60% of the students attend…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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.