When a die is rolled 10 times, what is the probability of getting (b) more than 2 sixes, (c) exactly 1 six and exactly 3 'small' (i.e. fewer than 3 dots) values, (d) 2 pairs, 2 triplets of identical values (e.g. 4155241252)?

Q: A test for a certain disease has a probability of 0.92 of detecting the disease when it is present…

A: We have given that P( disease) = 0.70P( no disease) = 0.30P( positive | disease) = 0.92P( positive |…

Q: The unemployment rate in a city is 15%. If 6 people from the city are sampled at random, find the…

A: Given problem Given that   The unemployment rate is 15% . If 6 people from the city are sampled at…

Q: A random sample of 50 dies is collected from each lot in a given process. Calculate the probability…

A:

Q: The probability that a randomly selected engineering student aged 22-25 years old will survive or…

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

Q: In a genetics experiment on peas, one sample of offspring contained 416 green peas and 26 yellow…

A: Solution: From the given information, sample of offspring contained 416 green peas and 26 yellow…

Q: A new surgery is successful 80 percent of the time. If the results of 9 such surgeries are randomly…

A: P =Probability of successful surgery and x=no of successful surgerys.  given, P=0.08              n…

Q: A stationary store has decided to accept a large shipment of ball-point pens if an inspection of 17…

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

Q: A stationary store has decided to accept a large shipment of ball-point pens if an inspection of 16…

A: Assume,  X be the random variable representing the number of defective pens in sample. p be the…

Q: A factory produces components of which 5% are defective. Using a suitable approximation, what is the…

A: This problem can be solved using Poisson distribution.

Q: Samples of rejuvenated mitochondria are mutated (defective) with a probability 0.17. Find the…

A: Probability of mutated mitochondria = 0.17It means that if we take a sample of mitochondria there is…

Q: Exactly 14 of them pass quality control?  No more than 2 fail quality control?

A: 94% of lightbulbs produced in a plant pass the quality control standard sample of 15 bulbs is picked…

Q: On average, a clothing store gets 120 customers per day. Assume the event occurs independently on…

A: Given, Experiment consists of observing arrival of customers at clothing store per day.

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: A fair die is rolled three times. What is the probability of obtaining at least 2 6's?

A: We know that when we toss a fair coin then the probability that getting any number is 1/6.Total…

Q: A stationary store has decided to accept a large shipment of ball-point pens if an inspection of 16…

A:

Q: x is the number of defective parts in a sample of 10 randomly selected parts coming from a…

A:

Q: in a highway pertol station on average, 4 cars are served per hour. Suppose that the num Calculate…

A: Given Data : Average rate , λ = 4.0

Q: A manufacturing process that produces electron tubes is known to have a 10% defective rate. Suppose…

A: X~B(n,p)P(X=x)=nxpx(1-p)(n-x)    x=0,1,2,3,...,nE(x)=mean=npvariance=np(1-p)

Q: A machine that manufactures automobile parts produces defective parts 11%of the time. If 8 parts…

A:

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 fair die is rolled three times. What is the probability of obtaining at least two 5​'s?

A: Given a fair die rolled three times.

Q: A study of an ant colony over a certain area showed an average of 1 infected ant per 20,000 ants. If…

A:

Q: The unemployment rate in a city is 13% . If 7 people from the city are sampled at random, find the…

A: Solution: Let X be the number are unemployed and n be the sample number of people. From the given…

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

A: Solution Answers is o.119

Q: A manufacturing process that produces electron tubes is known to have a 10% defective rate. Suppose…

A: Solution : here X is random variable tube is defective.       X~Binomial(n=15 , p=0.1) i.e. X…

Q: A hospital switchboard receives an average of 4 emergency calls in 10 min. interval. What is the…

A: The average number of calls in 10 minutes is 4.

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

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

Q: Find the probability that a lot of 100 items, of which five are defective, will be accepted in a…

A: Here, Total number of items in a lot, N = 100 Number of defective items, x = 5 Sample size, n = 50…

Q: A group of 30 manufactured of concrete pipes contain 8 defective pipes and 22 non-defective pipes. A…

A: Solution-: Given: N=30, n=5,M=8, X=3 We want to find P(exactly 3 defective pipes)=?

Q: In the manufacturing of a commercial carpet, small faults occur at random in the carpet at an…

A:

Q: The probability that a randomly selected patient who visits the ER will die within 1 year of visit…

A:

Q: A new surgery is successful 80% of the time. If the results of 8 such surgeries are randomly…

A:

Q: A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan…

A: probability mass function of B.D is = f ( k ) = ( n  k ) p^k * ( 1- p) ^ n-kwhere       k = number…

Q: Samples of 20 parts from a metal punching process are selected every hour. Typically, 1% of the…

A: Rework percentage increases to 4%. So, probability that a part requires rework = 0.04 20 samples are…

Q: A stationary store has decided to accept a large shipment of ball-point pens if an inspection of 16…

A:

Q: A weighted die has probability 0.102 of landing on a 6. If you roll the die until you get a 6 for…

A: It is given that the probability of getting a 6 is 0.102.

Q: Thế probability that a randomly selected 1-year-old male salamander will live to be 2 years old is…

A: See the hand written solution

Q: in a large population 68% of the people have been vaccinated,if 4 people were selected, what is the…

A:

Q: In a population where 85 % of voters prefer Candidate A, an organization conducts a poll of 14…

A:

Q: A stationary store has decided to accept a large shipment of ball-point pens if an inspection of 15…

A:

Q: A box contains 100 transistors, 20 of which are deactivate 10 are selected for inspection. licate…

A:

Q: A fair die is rolled four times. What is the probability of obtaining at least three 4​'s?

A: At least three means 3 or 4 Let X= number of times 4 comes n=total number of trials=4 p=probability…

Q: nac of Questionable Statistics, Vol 4 (2012), the probability of a mass squirrel uprising in any…

A: If the probability of occurrence of one event is not affected by the probability of occurrence of…

Q: In the manufacturing of a commercial carpet, several defects occur at random on the carpet design at…

A:

Q: To study the hormonal regulation of a metabolic line, albino rats are injected with a drug that…

A:

Q: A researcher receives 100 containers of oxygen. Of those containers, 20 have oxygen that is not…

A: # Given: total no of oxygen container=100  no of ionised oxygen container=80  no of non ionized  =20…

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

A: Solution

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: Find the probability that exactly four defectives are found

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

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.