Consider an experiment that consists of counting the number of a particles given off in a one-second interval by one gram of radioactive material. If we know from past experience that, on the average, 3 such a-particles are given off, what is a good approximation to the probability that at least 2 a-particles will appear?

Q: Based on a poll, 60% of adults believe in reincarnation. Assume that 5 adults are randomly selected,…

A: Given that  p=60%=0.60 , q=1-p=1-0.60=0.40 n=5 X~Binomial(n=5,p=0.60) Find P(x=4)

Q: At a certain international airport, 81% of recent flights have arrived on time. A sample of 12…

A: We have to find given probability.

Q: In a population of 1000, 200 have disease X. For a sample of size 16, what is the probability that…

A: Given that in a population of 1000, 200 have the disease. This means the population mean=…

Q: a. What is the probability that a cell divides in less than 45 minutes? b. What is the probability…

A: Here Given  Time to divide cell is normally distributed with  Mean= μ=1 Hr=60 min SD=σ=5 mins here…

Q: The probability that an item made by a certain company will bedefectiveis 0.1. Compute the…

A: Given : probability of success = p = 0.1 probability of failure = q = 1 - p…

Q: Suppose we observe 84 alcoholics with cirrhosis of the liver, of whom 29 have hepatomas—that is,…

A: 1)   From the given information,  n=80 and the probability of success is p=0.24(24%).   Normal…

Q: A sample of size 200 is taken at random from an infinite population. Given that the population…

A: We have to find given sample proportion...

Q: A machine that manufactures automobile parts produces defective parts 15% of the time. If 10 parts…

A: Given : P = 0.15 n = 10

Q: the probability that the husband of an employed woman was also employed.

A: Given: Total husbands employed P(H) =  0.94 Total unemployed husbands P(H') =1-0.94= 0.06 Total…

Q: A particular 3rd grade class has 20 students. When the teacher checks attendance for the day, 3 are…

A:

Q: A company that produces fine crystal knows from experience that 17% of its goblets have cosmetic…

A: Given information- Let x denotes the number of seconds in the sample. If event of finding seconds is…

Q: the probability that 50 randomly selected light cigarettes from this company will have a total…

A:

Q: A fair die, with its faces numbered from 1 to 6, is one in which each number is equally likely to…

A:

Q: A particular telephone number is used to receive both voice calls and fax messages. Suppose that 25%…

A: Givenp=0.25n=25x~Binomial(n=25,p=0.25)P(X=x)=(nx)×px×(1-p)n-x     ; x=0,1,...,n

Q: 25% of a certain breed of rabbits are born with long hair. What is the probability that in a litter…

A: Obtain the probability that in a litter of 8 rabbits exactly 5 will have long hair. The probability…

Q: Seventy-four percent of the light aircraft that disappear while in flight in a certain country are…

A: Basics:

Q: Suppose that a LED bulb has a defective rate of 0.0004. What is probability that four bulbs need to…

A:

Q: According to a recent study, 1 in every 10 women has been a victim of domestic abuse at some point…

A:

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 manufacturer estimates that 1.5% of his output of a small item is defective. Find the probability…

A: We have to find probability using exact bínomial distributaion.

Q: A fair die, with its faces numbered from 1 to 6, is one in which each number is equally likely to…

A:

Q: A drug using to treat a particular disease shows 20% failure rate. If we select a sample of 8…

A:

Q: According to a recent study, 1 in 7 women has been a victim of domestic abuse at some point in her…

A: Solution: Let X be the random variable that the number of women  has been a victim of domestic abuse…

Q: If new cases of West Nile in New England are occurring at a rate of about 2 per month, then what’s…

A: n = 6x = 4p(x)=nxpxqn-xp = 4/6 = 2/3q = 1 - p = 1 - 2/3 = 1/3p(x)=nxpxqn-x…

Q: Since the stock market began in 1872, stock prices have risen in about 72% of the years. Assuming…

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: 03. Consider an experiment that consists of counting the mumber of a particles given off in a…

A: Given, the average number of α-particles given off in a one-second interval is 3.2.

Q: A fair die, with its faces numbered from 1 to 6, is one in which each number is equally likely to…

A:

Q: Assuming that it is true that 2 in 10 industrial accidents are due to fatigue, find the probability…

A: Let p be the probability that a accident is due to fatigue. Given that p = 2/10 = 0.2 Let X denotes…

Q: from company A and 200 devices from company B. Calculate the probability that the difference between…

A:

Q: 4. A manufacturer of halogen bulbs knows that 3% of the production of their 100 W bulbs will be…

A: Given n =144,p=0.03, P(X =5 ) = ?

Q: For one adult chosen at random, compute the probability that: (i) he reads none of the papers

A:

Q: Based on a​ poll, 50​% of adults believe in reincarnation. Assume that 4 adults are randomly​…

A: Given: Sample size (n) = 4 Probabilty of success (p) = 0.50 Probabilty of failure (q) =1-p=0.50 Let…

Q: According to a recent study, 1 in every 7 women has been a victim of domestic abuse at some point in…

A: Introduction: The binomial distribution is a discrete probability distribution. It is a finite case…

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

A: We have to use the Bayes theorem to find the conditional probability.

Q: A six-sided die, in which each side is equally likely to appear, is repeatedly rolled until the…

A: Let S A be the  X1+X2+X3+.......+X140 ,   where Xirepresents number obtained in the ith roll

Q: When studying radioactive​ material, a nuclear engineer found that over 365​ days, 1,000,000…

A: The given problem follows a Poisson distribution                       f(x) = e-λλxx!; x=0, 1,2....…

Q: According to data from the ABC Group, 36% of Americans eat breakfast every day of the week. Assume…

A: Let "X" be Americans who eat breakfast every day.

Q: A fair die, with its faces numbered from 1 to 6, is one in which each number is equally likely to…

A: Confidence Interval: The form of the confidence interval is, CI = Point estimate ± Margin of error…

Q: According to the Almanac of Questionable Statistics, Vol 4 (2012), the probability of a mass…

A: Let us denote: A=mass squirrel uprising in any given year B= cats and dogs will sign a peace treaty…

Q: Based on a​ poll, 60​% of adults believe in reincarnation. Assume that 4 adults are randomly​…

A: Let x follows binomial distribution with parameters n = 4 and p = 0.60   The pdf of binomial…

Q: Clarke, one of the students, constructed a 95 percent confidence interval for p as 0.215±0.057. Does…

A:

Q: Assuming these results reflect the properties of the general population, what is the probability one…

A: Given that, Total frequency is n=106. Number of persons whose body temp is greater than the accepted…

Q: An investigative bureau uses a laboratory method to match the lead in a bullet found at a crime…

A: Given that N=1809

Q: A woman purchased a $15,000 1-year term-life insurance policy for $200. Assuming that the…

A: Expected value:The expected value of a random variable is the sum of the possible values that the…

Q: 34% of a certain breed of rabbits are born with long hair. What is the probability that in a litter…

A: Obtain the probability that in a litter of 11 rabbits exactly 6 will have long hair. The probability…

Q: The probably not correct. states that if, under a given assumption, the probability of a particular…

A: As we know that according to given defination we can say that the rare rule in the inferential…

Q: A fair die, with its faces numbered from 1 to 6, is one in which each number is equally likely to…

A: Hello there ! there are more than three sub parts in the question. According to our principles…