The number of breakdowns of a factory machine in a week may be modelled by a Poisson distribution with a mean number of 3.2 per week. For parts a and b, find the probability that the number of breakdowns that occur in a particular week is each of the following, giving each answer to 4 decimal places. a) 5 or fewer. b) More than 6.

The number of breakdowns of a factory machine in a week may be modelled by a Poisson distribution with a mean number of 3.2 per week. For parts a and b, find the probability that the number of breakdowns that occur in a particular week is each of the following, giving each answer to 4 decimal places. a) 5 or fewer. b) More than 6.

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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4c.) Draw the graphs. Round your final answers up to 6 decimal places, if applicable. Give the correct units.
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All students in a high school were surveyed about two sports. The results are shown in the graph. Frequency 600 400 200 0 190 Sports Survey 565 Basketball 340 Football Like Basketball or Football Both 100 Neither a) How many students were surveyed? b) What is the probability that a student (chosen at random) likes only basketball? Express your answer as a decimal, rounded to 2 decimal places. c) What is the probability that a student (chosen at random) likes both basketball and football? Express your answer as a percentage. d) What is the probability that a student (chosen at random) likes neither basketball nor football? Express your answer as a fraction in lowest terms.
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Researchers have shown that the num-ber of successive dry days that occur after a rainstorm for particular regions of Catalonia, Spain, is a random variable thatis distributed exponentially with a mean of 8 days. Source:International Journal of Climatology.a. Find the probability that 10 or more successive dry daysoccur after a rainstorm.b. Find the probability that fewer than 2 dry days occur aftera rainstorm.
30.
4b.) Draw the graphs. Round your final answers up to 6 decimal places, if applicable. Give the correct units.
According to Reader's Digest, 44% of primary care doctors think their patients receive unnecessary medical care. Use the z-table. a. Suppose a sample of 260 primary care doctors was taken. Show the sampling distribution of the proportion of the doctors who think their patients receive unnecessary medical care. E(p)= (to 2 decimals) (to 4 decimals) b. What is the probability that the sample proportion will be within ±0.03 of the population proportion? Round your answer to four decimals. c. What is the probability that the sample proportion will be within ±0.05 of the population proportion? Round your answer to four decimals. d. What would be the effect of taking a larger sample on the probabilities in parts (b) and (c)? Why? The probabilities would - Select your answer -increasedecreaseItem 5 . This is because the increase in the sample size makes the standard error, ,
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