### Poisson Probability and Word-Processing ErrorsIn this exercise, we analyze the probable number of word-processing errors made by a textbook author, based on an average error rate using Poisson probability distribution. On average, the author makes 2.5 word-processing errors per page on the first draft of her textbook.#### Questions(a) What is the probability that on the next page she will make 2 or more errors?(b) What is the probability that a randomly selected page is error-free?To assist with these calculations, you can **[click here to view the table of Poisson probability sums](#)**.--------### Calculate Probabilities(a) The probability that a page has at least 2 errors is: [Input required](Round to four decimal places as needed.) ### Poisson Probability SumsThe following tables provide the sums of Poisson probabilities \( \sum_{k=0}^r P(k; \mu) \) for various values of the parameters \( r \) and \( \mu \).#### Table 1: Values of \( \sum_{k=0}^r P(k; \mu) \) for \(\mu\) ranging from 0.1 to 1.0| \( r \) | 0.1 | 0.2 | 0.3 | 0.4 | 0.5 | 0.6 | 0.7 | 0.8 | 0.9 || --- | --- | --- | --- | --- | --- | --- | --- | --- | --- || 0 | 0.9048 | 0.8187 | 0.7408 | 0.6703 | 0.6065 | 0.5488 | 0.4966 | 0.4493 | 0.4066 || 1 | 0.9933 | 0.9825 | 0.9631 | 0.9360 | 0.9025 | 0.8638 | 0.8209 | 0.774 | 0.7241 || 2 | 0.9995 | 0.9972 | 0.9916 | 0.9826 | 0.9706 | 0.9558 | 0.9385 | 0.9188 | 0.8966 || 3 | 0.9999 | 0.9996 | 0.9983 | 0.9952 | 0.9905 | 0.9842 | 0.9762 | 0.9667 | 0.9555 || 4 | 1.0000 | 0.9999 | 0.9997 | 0.9987 | 0.9965 | 0.9933 | 0.9891 | 0.9838 | 0.9773 || 5 | 1.0000 | 1.0000 |

Answered: (a) What is the probability that on 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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In a large population, 67 % of the people have been vaccinated. If 4 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?Give your answer as a decimal to at 4 places
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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.)
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On average, 2.5 traffic accidents per month occur at a certain intersection. Complete parts (a) through (c) below. Click here to view the table of Poisson probability sums. (a) What is the probability that exactly 3 accidents will occur in any given month at this intersection? The probability that exactly 3 accidents will occur in any given month at this intersection is (Round to four decimal places as needed.) (b) What is the probability that fewer than 5 accidents will occur in any given month at this intersection? The probability that fewer than 5 accidents will occur in any given month at this intersection is (Round to four decimal places as needed.) (c) What is the probability that at least 2 accidents will occur in any given month at this intersection? The probability that at least 2 accidents will occur in any given month at this intersection is (Round to four decimal places as needed.)
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A nationwide survey of college seniors by a university revealed that almost 70% disapprove daily pot smoking, according to a report in a magazine. If 15 seniors are selected at random and asked their opinion, find the probability that the number who disapprove of smoking pot daily is (a) anywhere from 7 to 9, (b) at most 5 and (c) not less than 8. Click here to view page 1 of the table of binomial probability sums. Click here to view page 2 of the table of binomial probability sums. Click here to view page 3 of the table of binomial probability sums. (a) The probability that from 7 to 9 college seniors disapprove is (Round to four decimal places as needed.) (b) The probability that at most 5 college seniors disapprove is (Round to four decimal places as needed.) (c) The probability that not less than 8 college seniors disapprove is (Round to four decimal places as needed.)
On average, 2 traffic accidents per month occur at a certain intersection. Complete parts (a) through (c) below. Click here to view the table of Poisson probability sums. (a) What is the probability that exactly 6 accidents will occur in any given month at this intersection? The probability that exactly 6 accidents will occur in any given month at this intersection is .0120. (Round to four decimal places as needed.) (b) What is the probability that fewer than 4 accidents will occur in any given month at this intersection? The probability that fewer than 4 accidents will occur in any given month at this intersection is. (Round to four decimal places as needed.)
f a coin has a probability of 0.05 that it will come up "Heads" on a single flip, What is the probability of:The coin coming up heads exactly 7 times after 8 flips?
The accompanying table shows the numbers of male and female students in a certain region who received bachelor's degrees in a certain field in a recent year. A student is selected at random. Find the probability of each event listed in parts (a) through (c) below Click the icon to view the table. (a) The student is male or received a degree in the field The probability is 0.545. (Type an integer or a decimal. Round to three decimal places as needed.) (b) The student is female or received a degree outside of the field. The probability is (Type an integer or a decimal. Round to three decimal places as needed.) .... Table Males Females Total Degrees in Field 191,503 156,134 347,637 Print Degrees Outside of Field 624,367 812,503 1,436,870 Done Total 815,870 968,637 1,784,507 - X
54
A shipment of 40 inexpensive digital watches, including 6 that are defective, is sent to a department store. The receiving department selects 10 at random for testing and rejects the whole shipment if 1 or more in K the sample are found defective. What is the probability that the shipment will be rejected? The probability the shipment will be rejected is (Simplify your answer Type an integer or decimal rounded to two decimal places as needed) ***

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