An experiment is carried out to investigate how well 100 nano-particles disperse uniformly, when introduced into a container of 900 other particles of similar size and shape. After the nano-particles are added at the top of the container, the researchers wait 10 hours before randomly selecting a sample of 20 particles without replacement from the bottom of the container. a)What is the probability that the sample will contain 10 nano-particles? (You need not show your reasoning) b)What assumption did you need to make to answer part (a)?

Q: A shipment of 8 computers contains 4with defects find the probability that a sample of size 4, drawn…

A:

Q: What is the THEORETICAL probability that a sum GREATER than 9 would be rolled. (from a die of 12

A:

Q: The probability that a transistor is factory defective is 0.22. a. What is the probability that…

A: given, The probability that a transistor is factory defective, p=0.22   The required calculation can…

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: A machine that manufactures automobile parts produces defective parts 14% of the time. If 7 parts…

A:

Q: A fair coin is tossed until a head appears. What is the probability that more than three tosses are…

A: When a fair coin is tossed, The probability of getting head is 0.5 The probability of getting tails…

Q: An assembly line, based on past production, has a 2% defective rate. A random sample of 800…

A: Given that n=800 p=0.02 q=1-p =1-0.02 =0.98

Q: Suppose that the New England Colonials baseball team is equally likely to win a game as not to win…

A: Binomial distribution: The binomial distribution gives the probability of number of successes out of…

Q: A 10 meter by 10 meter plot of land, is divided into a grid of 100 squares. 300 seeds are scattered…

A:

Q: A factory produces steel ball bearings. For one particular type of bearing produced it is known that…

A:

Q: Suppose we toss n balls into n bins one at a time uniformly at random. (a) What is the expected…

A:

Q: A medical researcher estimates that 0.00004 of the population has a rare blood disorder. If the…

A: Given data Let X denotes the no of people having rare blood disorder Probability of blood disorder…

Q: 8. Vehicles entering an intersection from the east are equally likely to turn left, turn right, or…

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

Q: The probability that a randomly selected 4-year-old male salamander will live to be 5 years old is…

A: Given,The probability that a randomly selected 4-year-oldmale salamander will live to be 5 years old…

Q: Silicon wafers are used in the manufacture of integrated circuits. Of the wafers manufactured by a…

A: a. The silicon wafers are used in the manufacture of integrated circuits. In the wafers manufactured…

Q: A machine that manufactures automobile parts produces defective parts 12% of the time. If 10 parts…

A: X~Binomial(n,p)

Q: What is the probability that a randomly selected American adult has never been tested? Show work.…

A: From the given information, N(NT)=134,767 and N(T)=77,789.

Q: The total area under the curve is 1 b) If 3% of electric bulbs manufactured by a company are…

A: A discrete r.v. X taking values 0,1,2,.... is said to follow poisson distribution with parameter m .…

Q: A production line produces resistors which are 4% defective. If a random sample of 150 resistors is…

A: It is given that 4% are defective that means p=0.04 The sample size is 150 so n=150 m=np=150×0.04=6…

Q: What is the probability of obtaining an even number when a die is rolled?

A: Given that : A die has 6 possible numbers that comes.  S= { 1,2,3 4,5,6 }  We get a even number i. e…

Q: In a typical sports playoff series, two teams play a sequence of games until one team, the eventual…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: Over a long period of time, it has been observed that a professional basketball player can make a…

A: Given,p=0.8

Q: Assume that the monthly worldwide average number of airplaine crashes of commercial airlines is 2.2…

A: Given average number of airplaine crashes of commercial airlines is 2.2

Q: Over a long period of time, it has been observed that a professional basketball player can make a…

A: Formula : Binomial distribution is given by

Q: A box containing 5 red balls and a number of white balls. Two balls were withdrawn randomly with…

A: Let the number of white balls be x. Total Balls = 5+x Now, It is given that two balls were withdrawn…

Q: When a new machine is functioning properly, only 3% of the items produced are defective. Assume that…

A: We are given,Probability of defective = p =3% = 0.03             Randomly selected sample size = n =…

Q: Records show that 30% of all patients admitted to a medical clinic fail to pay their bills and that…

A: Let p be the probability that the patient's bill is forgive. Given that p = 0.3 Let X denote the…

Q: To determine the effectiveness of a diet in reducing the amount of cholesterol in the bloodstream,…

A: Given Information: Sample size n=100 The nutritionist decided to endorse the diet if at least 65…

Q: A company recruits 750 men under the age of 55. Suppose that 35% carry a marker on the male…

A: Givenp=0.35n=15x~Binomial(n=15,p=0.35)P(X=x)=(nx)×px×(1-p)n-x   ; x=0,1...,n

Q: It is known that 80% of the products on a production line are non-defective. Products are inspected…

A: Let the number of failure be represented by X and P represents the failure. Probability of Success…

Q: It is assumed that an impurity exists in 40% of all drinking wells in a certain rural community. In…

A:

Q: Suppose an RMG production line is known to have 6.6 flaws (defects) in every 50 products. a. What is…

A: RMG production line is known to have average 6.6 flaws in every 50 products. So, a batch of 100…

Q: Suppose we toss n balls into n bins one at a time uniformly at random.  a.) What is the expected…

A: a. There are n balls to be placed into n bins. Each ball has equal probability to be in the bins.…

Q: order to gain some insight into the true extent of the problem, it is determined that some test…

A: a).NOTE: We will use binomial distribution in this case.The formula for binomial probability is as,…

Q: A random sample of 8 articles is taken from a large  batch of manufactured articles and the batch is…

A: It is an important part of statistics. It is widely used.

Q: Suppose that a point is randomly chosen from a segment with a length of 12 units. What is the…

A:

Q: Before every​ flight, the pilot must verify that the total weight of the load is less than the…

A: Given Data Population Mean,μ = 183.6 Population Standard Deviation,σ = 36.9

Q: 20. After rolling a fair twenty-sided die 200 times, the observed (or experimental) probability of…

A: As the twenty-sided coin has a defined probability of rolling a 20 is 25%=0.25. And the number of…

Q: Suppose that it takes at least 9 votes from a 12-member jury to convict adefendant. Suppose also…

A: The jury can be correct in two ways, 1) if the person is guilty and they find him guilty.  2) if the…

Q: When a bit is transmitted, it is received in error with probability p. Assume that 10 bits are…

A: Each of the bit is considered to be independently transferred and has a constant probability of p of…

Q: A machine that manufactures automobile parts produces defective parts 13% of the time. If 8 parts…

A:

Q: If 825 random digits are taken from a random number table: (a) What is the approximate probability…

A: We have to answer basic probability questions.

Q: I roll an ordinary, six-sided die eight times in a row, what is the probability that at least six of…

A: It is given that a six-sided die eight times in rolled. Hence, the probability of getting the value…

Q: Express the indicated degree of likelihood as a probability value. 1. There is a 92% chance of rain…

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…

Q: A company that produces fine crystal knows from experience that 15% of its goblets have cosmetic…

A: Given that: Success probability, p=0.15 The formula of binomial probability distribution is given…

Q: Find the probability that exactly four defectives are found

A: Given: A manufacturing process has 10% defective rate.  Random sample of 15 tubes

Q: The number of telephone calls that arrive at a phone exchange is often modelled as a Poisson random…

A: Givenon average there are 10 call per hourλ=10 calls per hourLet "x" be the calls that arrive at a…