A geological study indicates that an exploratory oil well drilled in a certain region should strike oil with probability 0.25. Find the probabilities that the second strike of oil comes after drilling three wells.

Q: If a seed is planted, it has a 85% chance of growing into a healthy plant. If 11 seeds are planted,…

A: Given that, Probability(grow) = 85% = 0.85 Probability(don't grow) = 15% = 0.15 Sample size, n = 11

Q: A drag racer has two parachutes, a main and a backup, that are designed to bring the vehicle to a…

A:

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: When packaging a product, a manufacturer finds that one packet in twenty is underweight. Determine…

A:

Q: A recent survey examined the use of social media platforms. Suppose the survey found that there is a…

A: The probability of union of two sets are given as, P(A or B) = P(A) + P(B) – P(A and B).

Q: On a particular production line, the likelihood that a light bulb is defective is 5%. Ten light…

A: Given data Probability that light bulb is defective = 0.05 No of bulbs = 10  probability that none…

Q: An oil company has determined that the probability of finding oil at a particular drilling operation…

A: Let p be the probability of finding oil at perticular drilling operations.  Given p=0.20  Let X be…

Q: In a scuba-diving center in Sipadan (Malaysia), the dive master has tried calculating the…

A: Given: Leopard shark: 0.05Barracuda: 0.41Lemon shark: 0.04Scorpion fish: 0.27Mandarin fish: 0.07

Q: A supplier has 200 compact discs,of which 10% are known to be defective. If a music store purchases…

A: 10% of 200 discs are defective.  So, 10% of 200=0.10x200=20 20 discs are defective and (200-20)=180…

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 recent survey shows that 60% of families regularly schedule family vacations for the month of…

A: Given, 60% of families regularly schedule family vacations for the month of April. Let X = number of…

Q: Prior to a municipal election, a public-opinion poll determined that the probability of each of the…

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: 15. An automobile manufacturer collects data on the options chosen by potential purchasers when…

A: For two dependent events A and B, the probability of happening both events A and B is given by the…

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

A:

Q: Danny selects a glass bottle from the shelf randomly without looking and then tosses the fair coin.…

A: The selection of glass bottles and tossing coins are two independent events.  So, we have to find…

Q: Seventy five percent of students at a collage with a large student population of Size 100 use the…

A:

Q: A sales firm receives, on average, 3 calls per hour on its toll-free number. For any given hour,…

A:

Q: A survey of new Toyota Corolla owners has shown that during the first year of ownership, 11% of…

A: x = no. of time needs repair in a year x p(X) 0 0.75 1 0.11 2 0.10 >=3 0.04

Q: In a manufacturing plant producing LED light bulbs, 80% of the light bulbs produced are…

A: Given that, the 80% of the produced light bulbs are non, defective. Thus, 20 % of the light bulbs…

Q: A farmer said that 2/3 of his apple trees were attacked by fruit flies. If the inspection is carried…

A:

Q: An oil company conducts a geological study that indicates that an exploratory oil well should have a…

A: Obtain the probability that the first strike comes on the second well drilled.   The probability…

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: Recent surveys from a certain country report that although Internet access has grown​ rapidly, it's…

A: Let the event that a household has a computer be denoted C. Let the event that a household does not…

Q: In a state where cars have to be tested for emission of pollutants, 25% of all cars emit excessive…

A: To find: the probability that a car fails the test.

Q: A study reports that 53% of Americans support increased funding for public schools. If 3 Americans…

A: We have to find out the binomial distribution probabilities.

Q: A recent survey reported that 69% of Americans approve of human embryonic stem cell research. If an…

A: Given : Let A be the event of  Americans approve of human embryonic stem cell research. p ( A ) =…

Q: A component of a spacecraft has both a main system and a backup system operating throughout a…

A: Given: A component of a spacecraft has both a main system and a backup system operating throughout a…

Q: A contractor is planning the acquisition of construction equipment, including bulldozers, needed for…

A: The given question has been solved using one approach in the example itself. We will now understand…

Q: On average, under standard inspection, one in every 100 slaughtered chickens passes state inspection…

A: It is given that an average, one in every 100 slaughter chickens passes state inspection, even…

Q: An inspector on an assembly line of a refrigerator plant classifieds each refrigerator according to…

A: Solution :  Given :  E1 : Too much enamel and   P(E1) = 0.04 E2 : Too little enamel and     P(E2) =…

Q: A certain group of women has a 0.63% rate of red/green color blindness. If a woman is randomly…

A:

Q: A trucking company has found that its trucks average 1.3 breakdowns during round trips from…

A: a.

Q: In a of the population. It is known that 20 per cent of the males and 5 per cent of the females are…

A: Given : P(Male) = 0.5 P(Female) = 0.5 U = Unemployed , E = Employed P( U | Male) = 0.2 P(U | Female)…

Q: In an experiment involving smoke detectors, an alarm was set off at a college dormitory at 3 a.m.…

A:

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

A:

Q: A component of a spacecraft has both a main system and a backup system operating throughout a…

A: Given: A component of a spacecraft has both the main system and a backup system operating throughout…

Q: A car insurance company has high-risk, medium-risk, and low-risk clients, who have, respectively,…

A: Given: P(Hisk risk client filed a claim) = 0.04  P(Medium risk client filed a claim) = 0.02…

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: A geological study indicates that an exploratory oil well drilled in a particular region should…

A: If the third oil strike comes on the fifth well drilled. This means the first two oil strikes came…

Q: To avoid being stuck with a shipment of defective HDTV sets, a large retailer tests a random sample…

A: Sample size n=3 Defect rate p=0.012 q=1-p=1-0.012=0.988 X=Number of defective items…

Q: If a seed is planted, it has a 95% chance of growing into a healthy plant. If eleven seeds are…

A: Answer:Given that:p=0.95 ,   n=11now will use Binomial probability P(X=x)=nx*Px*(1–P)n–x,where…

Q: An oil company conducts a geological study that indicates that an exploratory oil well should have a…

A:

Q: A key shop advertises that the keys made there have a P = 0.85 of working effectively. If you bought…

A: Let "X" be the keys that would work effectively.

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…

Q: A sample of automobile dealerships found that 19 % of automobiles sold are silver. If two cars are…

A:

Q: A production line estimates that 1.5% of the items it produces is defective. In a package containing…

A: It is given that the A production line estimates that 1.5% of the items it produces is defective…

Q: Bicycles for hire at the Durban Beach front are deemed beyond repair when one or both its wheels are…

A: A number of events are said to be independent if the probability of occurrence of any one of them is…

Q: A certain group of women has a 0.06% rate of red/green color blindness. If a woman is randomly…

A: Concept: Compliments are the mutually exclusive pair of events. The complementation rule states that…

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.