Suppose that 1 in 5000 light bulbs are defective. Let X denote the number of defective light bulbs in a group of size 10,000. Use the Poisson approximation to find the probability that there will be at least 3 defective light bulbs. How does this compare to the exact value using the binomial distribution?

Q: probability that there will be exactly two accidents at the intersection during a week?

A: The number of accidents per day at a busy intersection has a Poisson distribution with mean 0.5…

Q: The probability of an integrated circuit passing a quality test is 0.86. In batch of 10 integrated…

A: Here Given  Probability of success= 0.86  so Probability of fail = 1- 0.86 = 0.14=p Sample size= n…

Q: Suppose that Dunkin in the Student Success Center sells an average of 400 donuts per day. Every day…

A: Given: Mean = 400 Consider X be the random variable that follows the Poisson distribution.

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: Assume that the number of students in a class follows the Poisson distribution with λ = 14. The…

A: Poisson distribution is a discrete probability distribution.

Q: Suppose 520 people each have a shuffled deck of cards and draw one card from the deck. What is the…

A: The Binomial distribution is given by  P(x)=C(n,x) px qn-x                                    ...…

Q: Suppose 'W' is the width of all toilet seat covers used by all hotels in Paris. Suppose 'W' is…

A: n=36, mean μ=15 and the variance σ2=9 so the standard deviation is σ=3 Since the sample size is more…

Q: A sample of a radioactive material is studied in a lab. There are 1372 gamma ray emissions over 245…

A: Step 1: Given informationLet X denotes the random variable denotes the gamma rays emissions per…

Q: The time it takes me to wash the dishes is uniformly distributed between 11 minutes and 16 minutes.…

A: Let "X" be the time to wash the dishes.

Q: Let X be a random variable with a Poisson distribution having a mean of 3. Find the cumulative…

A: The cumulative distribution function of a Poisson random variable X is given by:  F_X(x) = P(X <=…

Q: Use the Poisson distribution tables, not the mathematical formula.  It is estimated that 2% of the…

A: Given : 2% of the people in an auditorium of 100 unmarried/not related adults own a second home i.e…

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

A:

Q: Consider the probability that greater than 68 out of 141 houses will not lose power once a year.…

A: The normal approximation is appropriate to be executed when np≥5 and n(1-p)≥5. We are…

Q: At an airport, flights arrive on-time 92% of the time. Suppose 5000 flights are randomly selected.…

A: Given information: At an airport, flights arrive on-time 92% of the time. Suppose 5000 flights are…

Q: let x be a random variable that represents the commute time of teachers in a large urban area. If x…

A:

Q: In a city, 70% of the people prefer Candidate A. Suppose 30 people from this city were sampled.…

A:

Q: In a recent​ year, a hospital had 4472 births. Find the mean number of births per​ day, then use…

A:

Q: In a recent​ year, a hospital had 4395 births. Find the mean number of births per​ day, then use…

A: Given,no.of births per year =4395no.of days per year =365

Q: Suppose that in a particular population of people, 76% have brown eyes. If you were to select eight…

A: It is given that 76% have brown eyes and a 60 people at random.

Q: Suppose the number of hours that people spend watching TV each day follows a Poisson distribution…

A: Let  X is the random variable representing the number of hours spent watching TV each…

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 drug tester claims that a drug cures a rare skin disease 73​% of the time. The claim is checked by…

A: Probability of curing a rare skin disease, Sample size

Q: Yhmeer is watching a shower of meteors (shooting stars).  During the shower, he sees meteors at an…

A: Conditions required for a Poisson distribution:   The probability of event occurring should be same…

Q: Suppose the number X of tornadoes observed in Kansas has a Poisson distribution with λ = Find the…

A: Python Code:  import math from scipy.stats import poisson # Given lambda for the Poisson…

Q: Suppose that in a batch of 1000 rivets used in steel construction, 15 are defective. Let X be the…

A:

Q: A process produces strings of Christmas tree lights that historically have experienced a defective…

A:

Q: Suppose that the customer who arrives per minute in your restaurant during lunchtime 1 PM to 2 PM…

A: Given information: The mean of the given poisson distribution = 6 per minutes

Q: The number of people arriving per hour at the emergency room (ER) of a local hospital seeking…

A: NOTE-AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION ONLY Here Given  The number of people…

Q: In a recent​ year, a hospital had 4384 births. Find the mean number of births per​ day, then use…

A: Given that, The hospital had 4384 births in a year The mean number of births per​ day is, Let X…

Q: The probability that data are entered incorrectly into a field in a database is 0.008. A data entry…

A:

Q: In a human genome there are 6.4X109 basepairs and the mutation rate per generation per basepair is…

A: The expected number of new mutations in a new generation is approximately between 100 and 200. There…

Q: In a recent year, a hospital had 4463 births. Find the mean number of births per day, then use that…

A: In a recent year, a hospital had 4463 births.

Q: the environmental protection agency (EPA) limits the amount of vinyl chloride in the plant air…

A: Given Information :  The environmental protection agency (EPA) limits the amount of vinyl chloride…

Q: In a recent​ year, a hospital had 4142 births. Find the mean number of births per​ day, then use…

A: Solution-: Given : Mean number of birth per year (365 days) is 4142 We want to find, (a) The…

Q: The number of earthquakes per day in the world has a Poisson distribution with parameter ?= 55.…

A: Note:Hi there! Thank you for posting the question. As there are multiple sub parts, according to our…

Q: Suppose that half of all students (50%) in campus dormitories are dissatisfied with the food…

A: n = 64 p = 0.5

Q: % of all cars fail the emissions inspection, find the probability that in a sample of 85 cars, 11…

A: Given,8% of all cars fail the emissions inspection, i.e. proportion(p)=0.08sample size(n)= 85To find…

Q: 8. Final: For recent period of 100 years, there were 530 Atlantic hurricanes. Assume the Poisson…

A:

Q: Assume that 64% of drivers ed students pass their driving test, and that this situation is modeled…

A: Binomial Distribution: If X is a discrete random variable and it is to follow Binomial distribution…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.