The average number of field mice per acre in a 7-acre wheat field is estimated to be 14.(a) Find the probability that fewer than 12 field mice are found on a given acre.(b) Find the probability that fewer than 12 field mice are found on 2 of the next 3 acres inspected.[Click here to view the table of Poisson probability sums.]---(a) The probability that fewer than 12 field mice are found on a given acre is [ ]. (Round to four decimal places as needed.) ### Traffic Accident Probability Analysis at an Intersection#### OverviewOn average, 2 traffic accidents occur per month at a certain intersection. The following questions explore the probabilities concerning the occurrence of accidents using the Poisson distribution.#### Poisson Probability Sums TableTo view the detailed probabilities, refer to the table of Poisson probability sums [link to table].#### Questions**(a) Probability of Exactly 6 Accidents**- **Question:** What is the probability that exactly 6 accidents will occur in any given month at this intersection?- **Answer:** The probability that exactly 6 accidents will occur in any given month is **0.0120**.- **Note:** Round to four decimal places as needed.**(b) Probability of Fewer Than 4 Accidents**- **Question:** What is the probability that fewer than 4 accidents will occur in any given month at this intersection?- **Answer:** The probability that fewer than 4 accidents will occur in any given month is [space to fill in answer].- **Note:** Round to four decimal places as needed.By analyzing the probability distribution, one can better understand the likelihood of varying numbers of accidents occurring within a month, aiding in traffic management and safety planning.

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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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What is the probability that a card drawn randomly from a standard deck of 5252 cards is a six? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. Complete parts (a) and (b) below. Click the icon to view the data on business degrees. (a) Find the probability that a randomly selected student is male, given that the student received a business degree. The probability that a randomly selected student is male, given that the student received a business degree, is (Round to three decimal places as needed.)
The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. Complete parts (a) and (b) below. E Click the icon to view the data on business degrees. ..... (a) Find the probability that a randomly selected student is male, given that the student received a business degree. The probability that a randomly selected student is male, given that the student received a business degree, is (Round to three decimal places as needed.) Business Graduates (b) Find the probability that a randomly selected student received a business degree, given that the student is female. The probability that a randomly selected student received a business degree, given that the student is female, is (Round to three decimal places as needed.) Business degrees Nonbusiness degrees Total Male 199,313 600,822 800,135 1,065,757 1,865,892 Female 177,694 888,063 Total 377,007 1,488,885 Print Done
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The probability of a 25-year-old and another 35-year-old living together for 10 years is 0.6. What is the probability that a 30-year-old person will die within 15 years, if it is known that 4000 people out of 54000 at 25 years old will die before reaching the age of 30?
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The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. Complete parts (a) and (b) below. Click the icon to view the data on business degrees. (a) Find the probability that a randomly selected student is male, given that the student received a business degree. The probability that a randomly selected student is male, given that the student received a business degree, is (Round to three decimal places as needed.) (b) Find the probability that a randomly selected student received a business degree, given that the student is female. The probability that a randomly selected student received a business degree, given that the student is female, is (Round to three decimal places as needed.) Business graduates Business degrees Nonbusiness degrees Total Male 192,167 616,454 808,621 1,056,907 1,865,528 Female 173,249 883,658 Total 365,416 1,500,112
Suppose that Stephen makes 95% of his free throws. Assume that late in a basketball game, he is fouled and is awarded two shots. (a) What is the probability that he will make both shots? (b) What is the probability that he will make at least one shot? (c) What is the probability that he will miss both shots? (d) Late in a basketball game, a team often intentionally fouls an opposing player in order to stop the game clock. The usual strategy is to intentionally foul the other team's worst free- throw shooter. Assume that Stephen's team's center makes 57% of his free-throw shots. Calculate the probabilities for the center as shown in parts (a), (b), and (c). Assume as in parts (a), (b), and (c) that two shots will be awarded. P(center makes two shots) = P(center makes at least one shot) = P(center misses both shots) =
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