Vehicles pass through a junction on a busy road at an average rate of 300 per hour. a) Find the probability that none passes in a given minute. b) What is the expected number passing in two minutes? c) Find the probability that this expected number actually pass through in a given two-minute period.

Q: The average number of cockroaches per hectares in a 7-hectares wheat field is estimated to be 11.…

A: Let , X be the number number of cockroaches per hectares in a 7-hectares Here , X has Poisson…

Q: What is the probability of being dealt three cards of one denomination and two of another in…

A: We have to find given probability.

Q: Find the expected value of the number on a die when thrown.

A:

Q: (a) What is the probability that exactly 6 small aircraft arrive during a 1-hour period? The…

A: a) Given, µ=7.5t The probability that exactly 6 small aircraft during 1 hour period is calculated as…

Q: a. What is the probability that a cell divides in less than 45 minutes? b. What is the probability…

A: Here Given  Time to divide cell is normally distributed with  Mean= μ=1 Hr=60 min SD=σ=5 mins here…

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: A fair coin is tossed until a head appears. What is the probability that more than three tosses are…

A: When a fair coin is tossed, The probability of getting head is 0.5 The probability of getting tails…

Q: The production operation of a mineral water company fills the bottles uniformly between 490 ml and…

A:

Q: . A nationwide survey of college seniors by the University of Michigan revealed that almost 70%…

A: Given that n =12,p=0.7 a. find the p( 7<=x<9) =? b. find the p(x<=5) =? c. find the p(…

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 ten-peso coin is flipped twice. Calculate the probability of each of the following occurring:…

A: From the given information, Consider, S be the sample space,  It is given that a ten-peso coin is…

Q: What is the probability of obtaining seven heads in a row when flipping a coin? Interpret this…

A: Given the probability of obtaining seven heads in a row when flipping a coin

Q: Find the probability for the experiment of tossing a six-sided die twice. The sum is at least 11.

A: Given: An experiment of tossing a six-sided die twice.

Q: A parking enforcement officer has a quota of 5 citations to issue by the end of the shift. Assume…

A: Number of citation to be issued at end is 5. The probability of given car has a violation is…

Q: What is the probability of being dealt four cards of one denomination and two of another in six-card…

A: Given data: What is the probability of being dealt four cards of one denomination and two of…

Q: od for finding probability to determine the probability of : rolling a single dice and getting a…

A: The sample space for rolling a die is shown below: {1, 2, 3, 4, 5, 6} There are 6 possible outcomes…

Q: An office receives 20 faxed orders every two hours. What is the probability that an order will be…

A: The office receives 20 fax orders every two hours, therefore: The average number of fax every minute…

Q: Determine the probability of rolling a number greater than or equal to 5 on a single six-sided die

A: Consider the given information:

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: what is the probability that a total of 25 minutes will have passed before the next bag is ready?

A: Here given In a production line, on average 4 bags are produced an hour.  So λ = 4 bags per hour…

Q: What is the probability that the diameter of a dot is less 0.0026 inch? What is the probability that…

A: Here use normal distribution table for probability from calculated z score

Q: What is the probability that 5 particles enter the counter in any given millisecond?

A: Let X denote the number of particles passing through a counter in 1 millisecond.

Q: The average number of cars arriving at a drive-thru fast food restaurant is 3 in ten minutes, what…

A: GivenAn average no.of cars arriving at a drive-thru fast food restaurant is 3 in tenminutesλ=1.5 for…

Q: One customer is chosen at random for a prize giveaway. (Round answers to 4 decimal places.) a. What…

A:

Q: A coin is loaded so that the probability of a head occurring on a single toss is probability of…

A: Given Information: To find out the probability of getting all heads or all tails.

Q: Find the probability for the experiment of tossing a six-sided die twice. The sum is even or prime.

A:

Q: The mean number of customers arriving at a bank during a 15-minute period is 10. Find the…

A: Suppose random variable X defines the number of customers arriving at a bank during a 15-minute…

Q: A coin is tossed and 8 ​-sided die numbered 1 through  8 is rolled. Find the probability of tossing…

A:

Q: (A) Find the probability that at least 1 ball was red, given that the first ball was replaced before…

A: A box contains 4 red and 2 white balls.  (A)  Find the probability that at least 1 ball was red,…

Q: Suppose a rare infectious disease occurs at the rate of 2 per 106 people per year. (a)  What is…

A: It is given that the population in New York City is 8 x 106 and the probability of disease occur is…

Q: When studying radioactive material, a nuclear engineer found that over 365 days, 1,000,000…

A: Solution is written in below steps.

Q: A six-sided die is rolled twelve times. What is the probability that the die will show an even…

A: Let p be the probability of getting an even number. Then p = 3/6 = 0.5 Let X denote the number of…

Q: What is the probability that a registered voter voted in the election? The probability that a…

A: The probability of an event is defined as,

Q: When studying radioactive​ material, a nuclear engineer found that over 365​ days, 1,000,000…

A: The  studying radioactive​ material found that 25,575 atoms decayed during 365 days. That is,…

Q: A data form asks for applicants' birth dates in the form mm/dd/yyyy. Find the probability that the…

A: The objective is to find the probability that the number made up of the first two digits on a form…

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

A:

Q: During a laboratory experiment, the average number of radioactive particles passing through a…

A: Given that  Average number of radioactive particles passing through a counter in 1 milliseconds=4…

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: A customer relations manager at SARS observes that a teller can serve, on average,15 clients in an…

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

Q: During the period of time that a local university takes phone-in registrations, calls come in at the…

A:

Q: (e) What is the probability that total waiting time is between 3 and 8 min? (f) What is the…

A: Note: Since you have asked for subparts (e) and (f) that is why only these two subparts have been…

Q: (e) What is the probability that a randomly selected U.S. adult views smoking as very harmful given…

A: The number of adult views smoking as very harmful and that the selected individual never smoked is…

Q: In a film industry, the chance of a movie becoming a blockbuster is 90%. a. Among the first 5 movies…

A: A random variable x will follow the binomial distribution if the following conditions are satisfied.…

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: Eight coins are thrown simultancously. Show that the probability of obtaining atleast 6 heads is…

A:

Q: Assume that the average number of births in a hospital is 3 births per shift. a) What is the…

A: Given, Assume that the average number of births in a hospital is 3 births per shift. This follows…

Q: When rolling a die 142 times, what is the probability of rolling a 6 greater than 20 times?

A: np = 142/6 = 23.67 >10  n(1-p)  118.33 >10 ============ Normal approximation to binomial dist…

Q: Find the probability that exactly four defectives are found

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