Let X be a random variable corresponding to the number of shoppers that enter a mall at a given time of the day. It X is known to be a Poisson variablewith an average of 10 shoppers per minute, determine the probability that there are 12 shoppers who will enter the mall in the next 90 seconds.Select the correct response:0.10240.08290.09560.1298

Givenan average 10 shoppers enters mall per minutefor 1 second,=1060=16 shoppers per secondfor 90…

Answered: Let X be a random variable…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Use excel sheet to find The number of gamma rays emitted per second by a certain radioactive substance is a random variable having the Poisson distribution with (λ)= 5/8. If a recording instrument becomes inoperative when there are more than 12 rays per second, what is the probability that this instrument becomes inoperative during any given second?
Let X represent the full height of a certain species of tree. Assume that X has a normal probability distribution with a mean of 6.9 ft and a standard deviation of 41.4 ft.Find the probability that the height of a randomly selected tree is between -109 ft and -30.4 ft.P(-109 < X < -30.4) = Enter your answer as a number accurate to 4 decimal places.
Dandelions are studied for their effects on crop production and lawn growth. In one region, the mean number of dandelions per square meter was found to be 8. Find the probability of no dandelions in an area of 1 m². P(X= 0): = Find the probability of at least one dandelion in an area of 1 m². P(at least one) = Find the probability of at most two dandelions in an area of 1 m². P(X ≤ 2)
Describe the distribution where radioactive particles are emitted at a poisson rate of 5 per second. Let W reflect the waiting time until the 20th particle. What is the expected time here?
8% of all cars fail the emissions inspection, find the probability that in a sample of 85 cars, 11 will fail. Use the Poisson approximation to Find the mean number λ of cars that fail the emissions inspection in a sample of 85 cars.
The average number of emergency telephone calls to the fire station in a certain area in 't' minutes is (t/80). If the probability that no emergency call is made to the fire station in a period of 'k' minutes is 0.9, find 'k'. * 8.429 8.249 5.745 9.326
Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading between -0.338°C and 0.467°C. Use 4 decimal places.
Assume that women's weights are normally distributed with a mean given by μ=143 lb and a standard deviation given by 29 lb.(a) If 1 woman is randomly selected, find the probabity that her weight is between 113 lb and 172 lb(b) If 3 women are randomly selected, find the probability that they have a mean weight between 113 lb and 172 lb(c) If 73 women are randomly selected, find the probability that they have a mean weight between 113 lb and 172 lb
An online advertisement is viewed 1.1 times per hour an average. The number of views per hour follows a Poisson distribution. Find the probability that the advertisement will be viewed more than 2 times in a randomly selected hour. (Provide your answer as a number between 0 and 1 rounded to 3 decimal places.)
The mean percent of childhood asthma prevalence in 43 cities is 2.21%. A random sample of 32 of these cities is selected. What is the probability that the mean childhood asthma prevalence for the sample is greater than 2.6%? Interpret this probability. Assume that o= = 1.21%. The probability is (Round to four decimal places as needed.)
Officer Thompson of the Bay Ridge Police Department works the graveyard shift. He averages 4.5calls per shift from this dispatcher. Assume the number of calls follows a Poisson distribution. Find theprobability that Officer Thompson get fewer than 2 calls in a shift.
Consider a Poisson distribution with an average of 4 customers per minute at the local grocery store. If X = the number of arrivals per minute:Find the probability of 8 customers or less arriving within a minute. Find the probability of more than 7 customers arriving within a minute. Find the probability of 3 customers arriving within a minute.

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