A geologist has collected 10 specimens of basaltic rock and 10 specimens of granite. The geologist instructs a laboratory assistant to randomly select 15 of the specimens for analysis. (a) What is the pmf of the number of granite specimens selected for analysis? (b) What is the probability that all specimens of one of the two types of rock are selected for analysis?

Q: A monk crossbred plants, which can have purple or white flowers, and obtained 600 plants with white…

A: The number of white flower plant are 600. The number of purple flower plant are 250.

Q: A biologist finds that 25​% of fruit flies have short wings and 30​% have eye defects. Assuming…

A: Solution:From the given information, the probability that fruit flies have short wings is 0.25…

Q: A manufacturer of aspirin claims that the proportion of headache sufferers who get relief with just…

A:

Q: In the first quarter of​ 2013, company A held approximately 76% of the wireless phone market in a​…

A:

Q: Eighty-two % of trees planted by a local landscaping company survive. In a random sample of 200…

A: Solution

Q: A certain group of women has a 0.37 ​% rate of​ red/green color blindness. If a woman is randomly​…

A: The probability of compliment of an event A, is defined as P(A’) = 1 – P(A).

Q: 66% of students at one college drink coffee, and 13% of people who drink coffee suffer from…

A: Given: Probability of students who drink coffee = 0.66 Probability of students who drink coffee…

Q: In a large population, 51% of the people have been vaccinated. If 5 people are randomly selected,…

A: Probability of selecting a person who has been vaccinated is 51% or 0.51 Number of observation = 5…

Q: Seventy percent of rivets from vendor A meet a certain strength specification, and 80% of rivets…

A: Let T denotes with the addition of two random variables(X+Y)

Q: A monk crossbred plants, which can have purple or white flowers, and obtained 686 plants with white…

A: Given, Total number of flowers =686  Plants with white flowers  plants with purple flowers =1076…

Q: A manufacturer of aspirin claims that the proportion of headache sufferers who get relief with just…

A:

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

A: Obtain the probability that four or more of the LED light bulbs are defective. The probability that…

Q: A hockey coach was taking her team out to a picnic lunch to celebrate their first win. She made 7…

A: Here we should find the probability that all of them are hummus.

Q: A study is conducted to assess the impact of caffeine consumption, smoking, alcohol consumption, and…

A: Obtain the probability that exactly half of them consume caffeine and smoke. The probability that…

Q: In the city of Raccoon City, 65% of the population have been infected by a mutagenic pathogen known…

A: Here we need to find the probabilities associated with the corresponding binomial distribution.

Q: To avid detection at customs, a traveler places 6 narcotic tablets in bottle containing 9 vitamin…

A:

Q: A food manufacturer is analyzing a sample of 500 corn kernels for the presence of a toxin. In this…

A: In the given case, the total sample size (n) is 500. Assuming X to represent the number of kernels…

Q: A drug den uses a traveler to deliver drugs without being apprehended by the customs. The traveler…

A:

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: The air conditioner of 2 out of 10 cars in a car dealership is faulty. For a company that buys 4 of…

A: Giventhe air conditionerof 2 out of 10 carsis…

Q: As part of a promotional campaign, a store is offering a free Fitbit with the purchase of the new…

A: Let A denote the event that iPhone are faulty  Let B denote the event that Fitbits are faulty The…

Q: 2. The quality of computer disks is measured by the mumber of missing pulses. Brand X is such that…

A: It is given that the probability of the disks have no missing pulses is 0.80.

Q: In 80-year-olds, only two percent APOE4 homozygous in the population, but twelve percent APOE4…

A: It is given that 2% of 80 yr old population are APOE4 homozygous so PH=0.02 It is also given that…

Q: (b) In one high school, the athletic director found that 8% of the varsity athletes had concussions…

A: Solution: Let A be the event that the athletes had concussions while playing at the school. P( A)=…

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: In the experiment of flipping a coin four times, what is the probability of obtaining odd number of…

A: Let A and B be two events with P(A) > 0. Then the conditional probability of B given A, denoted…

Q: hilitu of cuccers n035 and n=5 trials is conducted, What is the probability that the experiment…

A: It is given that n=5 and p=0.35.

Q: To avoid detection at customs, a traveler places 6 narcotic tablets in a bottle containing 9 vitamin…

A: In the bottle, there are (6+9) = 15 tablets. Among the 15 tablets, 6 are narcotic tablets and 9 are…

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: 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 certain group of women has a 0.29​% rate of​ red/green color blindness. If a woman is randomly​…

A: Given, A certain group of women has a 0.29​% rate of​ red/green color blindness. Let P(A) = 0.29% =…

Q: A manufacturer of aluminum sheets, finds that on the average, 12.5% of his sheets are rejected…

A: Binomial Distribution: If we have n trials each having two outcomes, say Success and Failure, trials…

Q: The grades of a freshman college class, obtained after the first year of college, were analyzed.…

A: Percentage of students In top quarter is 70%. College class had graduated in the upper 10% of their…

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: f 2 percent of the rifles in an arsenal are defective, what is the probability that a random sample…

A: Given that  2 percent of the rifles in an arsenal are defective . P = 2% = 0.02 Sample size (n) =…

Q: 2) In a Canadian population, 30% of people spend 4 hours or more per day on smartphone; 25% of…

A:

Q: Ashley conducted an experiment to see which one of her friends has the best sense of smell. She…

A:

Q: In a marketing research survey, people are interviewed about product usage. One of the questions is…

A: Given: Probability of brand A, P(A)=14%P(A)=0.14 Probability of brand B, P(B)=9%P(B)=0.09 The…

Q: Thirty-eight percent of all shoppers at a large department store are holders of the store’s charge…

A: It is given that, thirty-eight per cent of all shoppers at a large department store is holders of…

Q: A manufacturer of aspirin claims that the proportion of headache sufferers who get relief with just…

A: Consider that p is population proportion of headache sufferers who get relief with just two…

Q: In a company that makes sports bikes, 90% of the bikes pass final inspection and 10% fail and need…

A:

Q: So in dogsm black fur is dominant tk white. A heterozygous black dog is mated with a white dog. What…

A: The probability of a litter of eight pups with four having black fur and four having white fur:

Q: A shipment of 10 microwave ovens contains 2 defective units. A restaurant buys four of these units.…

A:

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…

Q: A manufacturer of metal pistons finds that on the average, 18% of his pistons are rejected because…

A: Givensample size(n)=15p=18%=0.18Let "x" be the no.of pistions…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.