A bank has an average random arrival rate of 3.2 customers every 4 minutes. What is the probability of getting exactly 10 customers during an 8-minute interval?

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A: If a single ambulance is available at 70% of the time and three ambulances are stationed in a…

Q: A recent study for Las Vegas showed that the probability of an individual resident moving in a given…

A: Solution: Let X be the number of times an individual will move and n be the number of years. From…

Q: A fair die is rolled four times. What is the probability of obtaining no 2​'s?

A: Given a fair die rolled four times.

Q: If a seed is planted, it has a 95% chance of growing into a healthy plant. If 7 seeds are planted,…

A:

Q: On average, 1 out of every 10 radiation caps leaks right out of the box. What is the probability…

A: Given Information:  Probability of a leaked radiation cap = 1/10 = 0.1  Number of newly manufactured…

Q: From a well-shuffled deck of ordinary playing cards, four cards are turnedover one at a time without…

A: A well shuffled deck of card contains 52 cards of which 26 cards are red and  13 card are spades.…

Q: The Denver Post stated that 80% of all new products introduced in grocery stores are taken off the…

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Q: What is the probability that atleast one die shows the number 1?

A: Each die has 4 sides. And the numbers on them are 1, 2, 3, 4. So we can not get 1 for 3 ways. {2, 3,…

Q: If the probability of a machine producing a defective part is 0.05, what is the probability of…

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Q: A mail-order company receives an average of 5 orders per 500 solicitations. If it sends out 100…

A: Hello! As you have posted 2 different questions, we are answering the first question (a). In case…

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 company manufactures calculators in batches of 64 and there is a 4% rate of defects. Find the…

A: Givensample size(n)=64p=0.04Let "x" be the no.of defects in a batchx~Binomial(n=64 ,…

Q: A coin is flipped repeatedly, and the number of tails is considered as the success. Determine the…

A: The number of trials x required to get total r number of successful trial is the negative binomial…

Q: The average number of diesel tankers arriving each day at a certain port city is known to be 5. What…

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Q: A tire company produced a batch of 100 tires that includes exactly 24 that are defective. If 4 tires…

A: The probability of defective is,

Q: A barber shop on a peak hour has an average of 8 customers on a regular day. Suppose that the shop…

A: barber shop on a peak hour has an average of 8 customers on a regular day. And suppose that the…

Q: A die is rolled twice. What is the probability of showing a 1 on the first roll and an even number…

A: Consider that die is rolled twice. The sample space of die is rolled twice is, The total number of…

Q: A telephone call center receives a call at an average rate of six per hour. What is the probability…

A: Given that a telephone call center receives a call at an average rate of six per hour.  Let X=the…

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 die is rolled twice. What is the probability of showing a 5 on the first roll and an even number…

A: Sample space for a die rolled twice is given by,…

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

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Q: An insurance company finds that .5% of the population die from a certain kind of accident each year.…

A: Note: Thank you for the question. It is taken that 0.005% of the population die from a certain kind…

Q: A fair die is rolled six times. What is the probability that it comes up 2 at least once

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

Q: On average, Connor has noticed that 7 trains pass by his house daily (24 hours) on nearby train…

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Q: An average of 3 cars arrived at a highway tollgate every minute. What is the probability that at…

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Q: In a small private​ school,6 students are randomly selected from 11available students. What is the…

A: We have 11 students out of which we have to select the 6 students and then find the probability that…

Q: A coin is biased in such a way that a head is twice as likely to occur compared to a tail. What is…

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Q: A computer shop has noted that they have an average of 8 customers per hour. What is the probability…

A: Given information Average of 8 customers per hour No of customer in two hour is given by

Q: A die is rolled 20 times and the number of twos that come up is tallied. Find the probability of…

A: Given problem is : A die is rolled 20 times and the number of twos that come up is tallied. Find…

Q: The yearly worldwide average number of airplane crashes of commercial airlines is 4. What is the…

A: Givenyearly worldwide average number of airplane crashes of commercial airlinesis 4for one…

Q: Assume that there is a 6% rate of disk drive failure in a year. If all your computer data is stored…

A: There was 6% rate of disk drive failure in a year. This means that 94% rate of disk drive does not…

Q: An experienced invoice clerk makes an error once in every 100 invoices, on average. (a) What is the…

A: (a). Calculate the probability of finding a batch of 100 invoices without error: Here, it is given…

Q: What is the probability of getting exactly three tails when three coins are tossed?

A: Coin is tossed three times.

Q: In a certain country, there is a bank failure once every 2 years, on average. What is the…

A: The number of failures is once every 2 years. Probability of failure per year is p=12. The number of…

Q: In a certain coffee shop, each customer orders exactly one cup of coffee, and 60% of customers order…

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Q: A mail-order company receives an average of 7 orders per 350 solicitations. If it sends out 50…

A: A mail-order company receives an average of 7 orders per 350 solicitations. p= 7/350= 0.02

Q: A fair die is rolled five times. What is the probability of obtaining at least four 3​'s?

A:

Q: If a coin is tossed 4040 times and heads and tails are equally likely, then the probability of…

A: Given: n =4040 To determine: P(x≥2040)

Q: It has been found from experience that there is an average of five faults per 50 metres of cloth…

A: Probability distributions are of 2 types, discrete and continuous. Poisson distribution is a…

Q: The probability that a randomly chosen student in a statistics class submits his/her homework on…

A: Given,n=50p=0.10q=1-0.10=0.9A random variable X~Binomial(n=50  ,  p=0.10)P(X=x)=Cx50 0.1x0.950-x…

Q: A fair die is rolled two times. What is the probability that both rolls are 6?

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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: The average number of people waiting in the line at a bank muscat ATM is one person every 30…

A: Given that there is 1 person on an average every 30 minutes. So there will be 2 persons on an…

Q: Find the expected number of infected ducks in a sample of 5 ducks if the probability of an infected…

A: Let the random variable X represents the number of infected ducks.It is given that the probability…

Q: A fair die is rolled 6 times. What is the probability it comes up 4 at least once?

A: Given  n = 6  Die is fair

Q: A home security company claims that the reliability rate of their home security system is 90%. If…

A: Given data: n = 16 p =0.90

Q: A die is rolled twice. What is the probability of showing an odd number on the first roll and a…

A:

Q: A safety engineer claims that only 30% of all workers wear safety helmets when they eat lunch at the…

A: The Probability mass function for Binomial distribution is given by                     P(X=x)=ncx…

Q: Based on a study by Dr. P. Sorita at Indiana University, approximately 12% of people have green…

A: It is given that n =0.12 and n = 650.