Safety checks on the roads outside the university are conducted on a daily basis. It is knownthat on average, 0.5 potholes are found per day on the roads.Cracks on the road are also found an average rate of 0.75 per day.Find the probability that in a randomly chosen period of 20 days, there is at most 2potholes found given that a total of 10 faults (cracks + potholes) are discovered. Stateany assumptions you may have made.

Given:Assumptions:First, let's find the average number of potholes and cracks over a 20-day period:

Answered: Safety checks on the roads outside the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A certain disease has an incidence rate of 0.7%. If the false negative rate is 8% and the false positive rate is 4%, compute the probability that a person who tests positive actually has the disease. Give your answer accurate to at least 3 decimal places
A certain disease has an incidence rate of 0.8%. If the false negative rate is 4% and the false positive rate is 3%, compute the probability that a person who tests positive actually has the disease. Give your answer accurate to at least 3 decimal places
A box contains 5 green balls and 4 red balls. Four balls are drawn without replacement. Determine the probability of drawing 2 green balls and 2 red balls. please answer in complete solution topic: Hypergeometric Distribution
From observations of the weather, it is known that on October 20 the probability of rain is 0.85. A certain forecast method for October 20 is correct 0.9 times if rain is predicted and 0.75 times if no rain is predicted. How much information does a real weather forecast provide 20 th of October?
The probability that a certain type of sea turtle hatching survives until adulthood is assumed to be 1 out of 1,877. If 980 hatchlings incubate in a certain nesting area, calculate the probability that at least 3 survive to adulthood. Use three decimal place accuracy.
Cars have been observed to pass a given point on a backroad at a rate of 0.5 cars per hour. Find the probability that no cars pass this point in a two hour period.
Assume that when an adult is randomly selected, the probability that they do not require vision correction is 17%. If 12 adults are randomly selected, find the probability that exactly 3 of them require vision correction. (round to three decimal places as needed)
A nervous kicker usually makes 69% of his first field goal attempts. If he makes his first attempt, his success rate rises to 94%. What is the probability that he makes his first two kicks? The probability that the kicker makes his first two kicks is (Round to three decimal places as needed.)
A basketball player estimates that he makes 58 % of the free throws he takes. If he takes 15 shots, find the probability that he makes 11 of the 15 shots. (Report answer accurate to 4 decimal places.)
A company offers guided tours of remote areas of the world. Each tour consists of 20 people. The probability of selling a ticket for any given spot on the tour is 0.86. The costs to the company are approximately the same regardless of the number of people that show up. To offset the risk associated with a tour not filling up, the company purchases a specialized insurance policy. The policy pays 100 for each ticket that is left unsold, up to a maximum of 400. Let P be the amount that the insurance policy pays to the company for a specific tour. Calculate E[P] to the nearest dollar. O 251 O244 O 259 O 267 275
From observations of the weather, it is known that on October 20 the probability of rain is 0.25. A certain forecast method for October 20 is correct 0.9 times if rain is predicted and 0.75 times if no rain is predicted. How much information does a real weather forecast provide 20 th of October?
A certain disease has an incidence rate of 0.7%. If the false negative rate is 6% and the false positive rate is 3%, compute the probability that a person who tests positive actually has the disease. Give your answer accurate to at least 3 decimal places

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