Suppose that only 0.1% of all computers of a certain type experience CPU failure during the warranty period. Consider a sample of 4,000 computers. a. Can you use Poisson distribution as approximation for binomial? Why? b. Compute P(4<=X<=6) (Use the formula of the pmf).

Q: A traffic enforcer counts the number of vehicles at a specific location in the highway. In his…

A: It is given that 420 vehicles arrived in span of 1 hour. So, the average number of vehicles arriving…

Q: On the average, a grocer sells three of a certain article per week. Howmany of these should he have…

A: P(x:μ)=e-λλxx!   P(X&gt;k)&lt;0.01P(X≤k)&lt;0.09

Q: In a sample of 10,000 males, how many would you expect to have Fragile X Syndrome? b. For a sample…

A: The second-leading genetic cause of mental retardation is Fragile X Syndrome, named for the fragile…

Q: An auto parts store sells 468 oil filters over 120 weeks. Use the Poisson distribution to find the…

A: Given information- We have given that store sells 468 oil filters over 120 weeks. We have given the…

Q: Use the normal approximation to the binomial distribution to find the probability that, out of 1500…

A: Assuming that the probability of vaccine effect on each individual to be p=0.8 then assuming X is…

Q: An observer counts 360 veh/h at a specific highway location. Assuming that the arrival of vehicles…

A:

Q: Let X be a Poisson random variable with mean 2. If P[X = 1|X <1] = 0.8, what is the value of 2?

A:

Q: what is the probability (to three decimal place accuracy) that between 3:06pm and 3:24pm we see at…

A:

Q: Suppose X given N has a binomial distribution with p=0.4 and N has a Poisson distribution with mean…

A: X given  N has a Binomial distribution. P=0.4,mean(n)=10. E(X)=np.

Q: An automobile manufacturer finds that 1 in every 2000 automobiles produced has a particular…

A: From the given information,An automobile manufacturer finds that 1 in every 2000 automobiles…

Q: A survey found that0.07%  of the people in a city are infected by the COVID virus. If we randomly…

A:

Q: A store selling newspapers orders only n = 4 of a certain newspaper because the manager does not get…

A: Given n = 4 Let X be the number of request per day for the newspaper orders X ~ Poisson (λ) P(X=x) =…

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

A: Solution-: Given : λ=3 We find, (a) P[At most 3 calls]=? (b) P[At least 3 calls]=?

Q: Suppose 75% of the age group 1 through 4 years regularly utilize seat belts. Find the probability…

A:

Q: Selene’s immediate superior notices that she tends to commit an average of 15 errors for every 50…

A: A random variable X is called to follow the Poisson distribution if its takes only non-negative…

Q: A corporation has 250 personal computers. The probability that any 1 of them will require repair in…

A: Given,n=250p=0.01mean=λ=npλ=250×0.01=2.5A random variable X~Poisson(λ=2.5)P(X=x)=e-2.5 2.5xx!  ; x≥0

Q: Suppose that Y possesses a binomial distribution with n = 20 and p Find the exact value of P(Y < 3)…

A: I have used R and provided the command. λ = 20*0.1 = 2

Q: Suppose that trees are distributed in a forest according to a two-dimensional Poisson process with…

A: Given: Expected number of trees per acre = 80

Q: Given the binomial experiment with n=100 trials and probability of success on a single trial p=0.06,…

A: We have to find given probability.

Q: 2003, the average combined SAT score (math and verbal) for college-bound students in the United…

A: Here's, p = 0.45, 45%is probability of success by using binomial distribution. And number of…

Q: d) Use Poisson approximation to find the probability that the sample contains at most 1defective…

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

Q: Investigate complete sufficiency when a random sample of size n is taken from (a) Poisson(A) (b)…

A:

Q: Suppose only 40% of all drivers in a certain state regularly wear seatbelts. A random sampleof 400…

A: Given,n=400p=0.40mean(μ)=npμ=400×0.40=160standard deviation(σ)=np(1-p)σ=400×0.40(1-0.40)σ=9.79796

Q: a) Cars passing through a roadside service station have a 75% chance of filling up on petrol or…

A:

Q: Assume that the number of new visitors to a website in one hour is distributed as a Poisson random…

A:

Q: one nanogram of uranium-238 will have an average 4 radioactive decays per second, and the number of…

A: The Poisson distribution is used to calculate the probability of getting r number of successes over…

Q: A vendor of seeds has purchased a stock of seeds of an exotic flower, and wants to estimate the…

A: Let X be a random variable such that X~Bin15, p Therefore, the likelihood is given as L=…

Q: Harper's Index reported that the number of (Orange County, California) convicted drunk drivers whose…

A: Given Information: Probability of a repeat offender is still p=1560 r is the number of repeat…

Q: Consider the corresponding zero-truncated Poisson distribution. Evaluate the probabilities p, for k…

A:

Q: On average, the shoppers across McMaster University have 1 customer per hour and assuming that for…

A:

Q: Suppose that in this time of pandemic,50% of the population in a certain province had received…

A:

Q: At a particular hospital, records show that each day, on average, only 80% of people keep their…

A: Introduction: If X ~ Binomial (n, p), then the probability mass function of X is: Here, n is the…

Q: (b) Ten per cent of the tools produced in a certain manufacturing process turn out to be defective.…

A:

Q: A traffic enforcer counts the nunber of vehicles at a specific locationin the highway. In his…

A: Given420 vehicles arriving in span of 1 hourvehicles arriving in span of seconds  =4203600=0.1167…

Q: Suppose that a manufactured product has 2 defects per unit of product inspected. probabilities of…

A:

Q: Suppose that random variables X₁ and X₂ have exponential distribution with expected value and ,…

A: i. Given information: X1 and X2 are exponential distribution with expected value of 1/2 and 1/3. X1…

Q: Assume that 1 out of every 5 adults in a local community is unemployed. Approximatethe probability…

A: Test statistic: The test statistic for hypothesis test for proportion is given by:

Q: A manager accepts the work submitted by his typist only when there is no mistake in the work. The…

A: Given that  A manager accepts the work submitted by his typist only when there is no mistake in the…

Q: In a recent​ poll, 45​% of survey respondents said​ that, if they only had one​ child, they would…

A: (a) The probability that at least 84 would prefer a boy  is 0.1230 and it is obtained below: From…

Q: Suppose that the number of traffic accidents, N, in a given period of time is distributed as a…

A:

Q: A survey found that 0.07% of the people in a city are infected by the COVID virus. If we randomly…

A:

Q: A. Suppose a certain survey reported that 35% of Zambian households have at least one high…

A: Giveni)p=0.35n=16q=1-p=1-0.35=0.65using normal approximationMean(μ)=n×p=16×0.35=5.6standard…

Q: Suppose that a manufactured product has 2 defects per unit of product inspected. Using Poisson…

A: We have given that  Poisson probability distribution  P(X=x)= e-λ ×λx/x! Where λ= 2  Average = λ=2

Q: If np is greater than or equal to 5 and nq is greater than or equal to 5, estimate P(at least 7) n…

A: Given,          n=13          P=0.6    and q=1-p           q=1-0.6=0.4       nP=13×0.6=7.8⩾5…

Q: It is known from past experience that in a certain plant there are on the average 4 incidents per…

A: In question, We have given that in a plant incident rate per month is 4. Then we'll find the…

Q: Suppose that 1 in 5000 light bulbs are defective. Let X denote the number of defective light bulbs…

A: 1 in 5000 light bulbs are defective. Therefore probability that a light bulb is defective = 1/5000 X…

Q: A fabric manufacturer believes that the proportion of orders for raw material arriving late is p =…

A: β = Type II error

Q: The probability of an electric scooter being stolen within a year is 1%. In a region with 20…

A: Given: P( stolen within a year) = 0.01 n = 20

Q: At Cititon Labs, 12% of subjects exposed to epsilon radiation developed superpowers. Using a normal…

A:

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.