A new experimental process for manufacturing a circuit for quantum computers is successful 80% of the time. Researchers want to calculate the probability that more than 15 of the next 20 attempts to make the circuit will be successful. Can they use the normal approximation to the binomial? Why or why not?

Q: In a digital communication channel, assume that the number of bits received in error can be modeled…

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Q: 4.A given binomial experiment with 50 trials has a probability of success of 0.75. What is the…

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Q: Suppose we are in an experiment where each trial has p = 1/6 chance of success, and that the trials…

A: 1. Given p = 16     n = 12     x = 3 P(X=x) = Cxn px (1-p)n-x  ; x=0,1,2....n…

Q: A study was conducted to determine whether there were significant differences between medical…

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Q: Find the probability of at least one success. If required, round your answer to two decimal places.…

A: Consider a binomial experiment with 2 trials and p = 0.2.

Q: ) John works at a phone bank. After getting off the phone with a particularly rude customer, he…

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Q: A state has a law requiring motorists to carry insurance. It was estimated that, despite this law,…

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

Q: A particularly long traffic light on your morning commute is green 22% of the time that you approach…

A: The binomial distribution is frequently used to model the number of successes in a sample of size n…

Q: Two Bernoulli processes with success probabilities p1 = 0.567 and p2 = 0.421 resulted from splitting…

A: A Bernoulli process, with success probability p, is a sequence of independent Bernoulli trials where…

Q: A new surgery is successful 80% of the time. If the results of 7 such surgeries are randomly…

A: The percentage of of the successful surgeries is 80%. 7 surgeries are randomly selected. Let X be…

Q: Suppose that historically, 36% of applicants that are offered admittance to Georgia Southern…

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Q: Two restaurants compete against one another for a pool of 10,000 local potential patrons. Assuming…

A: Given: The number of local potential patrons is n=10,000. Since the two restaurants are independent,…

Q: With continuous random variables, we never calculate the probability that X has a particular…

A: The continuous random variable takes any values within two admissible values and the probability…

Q: The probability that a person will develop the flu after getting a flu shot is 0.06. In a random…

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Q: There are 600 students in the post-graduate department of a university, and the probability for any…

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Q: The binomial probability mass function may not require the assumption of independence between events…

A: According to the binomial assumption, the probability of success always fixed and the probability of…

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: A company that produces eating oils claims that only 7 out of 100 people can detect the difference…

A: Solution

Q: Blue Cross Health Insurance reported that 4.5% of claims forms submitted for payment after a complex…

A: Given,n=100p=0.045λ=mean=npλ=100×0.045λ=4.5A random variable X~Poisson(λ=4.5)P(X=x)=e-4.54.5xx!  ;…

Q: A new surgery is successful 75% of the time. If the results of 8 such surgeries are randomly…

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Q: Why should you sometimes use normal-curve areas to approximate binomial probabilities even though…

A: Binomial approximation: The normal distribution can be used as an approximation to the binomial…

Q: During a month in Adana, it rains with probability 2/3 each day, independently of every other day.…

A: The probability of raining each day is p = 2/3

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

A:

Q: Suppose that historically, 35% of applicants that are offered admittance to Texas Tech actually…

A: According to the given information, we have Sample size, n = 9300 Given that 35% of applicants that…

Q: Suppose that asthma affects 1 in every 20 children in a population. You take an SRS of 250 children…

A: Let, p= getting affected by asthma =120=0.05 n= sample size= 250 X = number of affected children.…

Q: Identical ICs are tested for transistor failure, and it is found that the average failure is 3.4…

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Q: A machine manufactures 300 micro-chips per hour. The probability an individual chip is faulty is…

A: Given, A machine manufacturer 300 micro-chips per hour. The probability an individual chip is faulty…

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

A: Formula : Binomial distribution is given by

Q: According to a survey, about 24% of adults in a certain country are pessimistic about the future of…

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

Q: A. Suppose an admissions office determines that 40% of students who are accepted actually enroll in…

A: Given: The probability that students actually enrolled, p=0.40 Number of students, n=800

Q: A recent study has shown that 45% of recent college graduates are able to find full-time employment…

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

Q: Twenty five percent of the tools produced in a certain manufacturing process turn out to be…

A: Given: P( defective) = p =  0.25 n = 10

Q: We are picking 200 jelly beans out of a huge vat at a factory known to have 25% black jelly beans.…

A: sample size(n) =200 probability(p)=0.25 Using normal approximation to binomial we have…

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

A: Given datap= 0.45n =130Checking the validity of normal approximation

Q: According to American Airlines, Flight 215 from Orlando to Los Angelas is on time 90% of the time.…

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Q: The probability that an atom of Fermium-253 will undergo radioactive decay within a 3-day period is…

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

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Q: Suppose 50% of the adult American population believes that the amount of tax (federal, state,…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

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

A: Let the R.V X denotes the number of defective pens and it follows the binomial distribution with…

Q: A new surgery is successful 70% of the time. If the results of 9 such surgeries are randomly…

A: The provided information is  p=0.70 n=9 X~B(n=9,p=0.70) The binomial probability distribution is…

Q: A study in Lehman College found that 40% of Americans do not think that having a college education…

A: Given, Sample size(n)=5 Proportion of of Americans do not think that having a college education is…

Q: In a factory,that produces glass bottles, HH number of bottles are defected in 1000 bottles…

A: Given, Number of defective bottles = 2 (N) Total no. of bottles = 1000

Q: I am confused when to use BinomPDF vs. BinomCDF; Find the probability that 17 or more of these 44…

A: From the provided information, Number of trial (sample size) (n) = 44 The probability of success (p)…

Q: A recent study has shown that 68% of parents allow their children to ride their bicycles without…

A: Given :   A recent study has shown that 68% of parents allow their children to ride their bicycles…

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: A new surgery is successful 85% of the time. If the results of 7 such surgeries are randomly…

A: It is given that n is 7 and the probability of success p is 0.85.

Q: Use the normal approximation to the binomial to calculate the probability of getting more than 39…

A: Givenn=400p=0.08x=no.of defectivesx~Binomial(n=400,p=0.08)P(X=x)=Cxnpx(1-p)n-x  ; x=0,1,....n

Q: Suppose X is a binomial random variable where the probability of success on each trial is 0.08 and…

A: Obtain the probability that X is greater than or equal to 8. The probability that X is greater than…

Q: If 10% of certain products are found to be defective, using both Binomial and Poisson models, find…

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