TASK: suppose that we are investigating the safety of a dangerousintersection past police records indicate a mean of five accidents per monthat this intersection.The number of accidents is distributed according to a Poisson distribution,and the Highway Road Safety Division wants us to calculate the probabilityin any month of exactly 0, 1, 2, 3, or 4 accidents.Hint: A 5

Let the random variable X denote the number of deaths in a month, then the required probability can…

Answered: TASK: suppose that we are investigating…

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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Suppose the manager agrees to pay each employee a $50 bonus if they meet a certain goal. On a typical Saturday, the oil change facility will perform 40 oil changes between 10 AM and 12PM. Treating this as a random sample, there would be a 10% chance of the mean oil change time being at or below what value.
A county has been experiencing a mean of 33.8 motor vehicle deaths each year. Use the Poisson distribution to answer the following. a. Find the mean number of deaths per day. b. Find the probability that on a given day, there are more than 2 motor vehicle deaths. c. Is it unusual to have more than 2 motor vehicle deaths on the same day? Why or why not? a. The mean number of deaths per day is (Round to three decimal places as needed.)
Use the frequency distribution in Table 3. What is the probability that a randomly selected voter is between 35 and 44 years old? (Round results to 3 decimal places.) Table 3. Voting AgeAges of VotersFrequency(In millions)18 to 20 years old 5.8 21 to 24 years old 8.5 25 to 34 years old 21.7 35 to 44 years old 27.7 45 to 64 years old 51.7 65 years old and over 26.7
BUS-173 (Applied Statistics)
Chapter 7: 6. The mean room and board expense per year at a four-year college is $9200. Assume the room and board expenses are normally distributed with a standard deviation of $1200. (6 points each) You randomly select one four-year college. What is the probability that their average room and board is less than $8950? b. You randomly select 50 four-year colleges. What is the probability that the mean average room and board is less than $8950?
The number of accidents that occur at a busy intersection is Poisson distributed with a mean of 4.4 per week. Find the probability of the following events. A. No accidents occur in one week. Probability = B. 7 or more accidents occur in a week. Probability = C. One accident occurs today. Probability =
6. A lightbulb will work until failure. Being a cheap Chinese import the lightbulb has a 0.001 chance of failure each time you turn on the lightbulb. We can think of failure when you turn on the lights as a Geometric Distribution A. What is a "success" for this Geometric Distribution? B. Find the probability of "success" or p for this Geometric Distribution. C. Find the probability of "not success" or q
Last school year, the student body of a local university consisted of 20% freshmen, 21% sophomores, 29% juniors, and 30% seniors. A random sample of 300 students taken from this year's student body showed the following number of students in each class. Freshmen 84 Sophomores 65 Juniors 86 Seniors 65 We are interested in determining whether there has been a significant change in the distribution of class between the last school year and this school year.If the distribution is the same as the previous year, the expected number of freshmen is _____. a. 84 b. 87 c. 60 d. 20
If a graph represents a probability distribution, then the total area under the curve is what?
6. A study was conducted to determine the number of emergency calls per day received by the Conestoga Valley Fire Company. The data are shown here: # of phone calls Frequency 5 7 8 28 32 21 10 (a) Construct a probability distribution for the number of phone calls. (b) Find the mean number of phone calls, rounded to the nearest tenth.

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