1.Traffic accidents at a particular intersection follow Poisson distribution withan average rate of 1.4 per week.a)What is the probability that the next week is accident-free?b)What is the probability that there will be exactly 3 accidents next week?c)What is the probability that there will be at most 2 accidents next week?

Given data: Traffic accidents at a particular intersection follow Poisson distribution with an…

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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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6. An old camera has a 45% chance of not responding after taking a shot. What is the probability that the camera will stop responding on the 6th shot of the day? 4
2. If electricity power failures occur according to a Poisson distribution with an average of 5 failures every 20 weeks, calculate the probability that there will not be more than one failure during a particular week.
Suppose it is known that 5% of men age 50 and older I have prostate cancer. And a random sample of 25 men age 50 and older what is the probability that exactly to have prostate cancer?
13. In a certain population, heights (in inches) are normally distributed with a = 67 and a = 3. Find the probability that a person selected at random has a height between 63 and 71 inches. Refer to Appendix A of the textboun. -
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.
1. Twelve electric bulbs are drawn independently every hour from a production line at a factory. The number of defective bulbs are random and independent. Suppose that the probability that a bulb is defective is 0.06. a. What is the probability that less than two bulbs are defective? b. What is the probability that three bulbs tested are the second defective bulbs detected?
28.) A Certain Blood Group type can be find only in 0.05% of the people. If the population of a randomly selected group is 3000. What is the Probability that at least a people in the group have this rare blood group.
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.
3. Assume that the wait time to see your family doctor is uniformly distribution been 10 and 30 minutes. A. What's the probability you wait more than 20 minutes to see your family doctor? B. What's the probability you less than 15 minutes to see your family doctor? C. What's the probability you wait between 20 and 25 minutes?
12.)The survival rate for trees planted at a particular landscaping company has been 83% in the past. (a) What is the probability that 9 of the next 12 trees planted will survive? (b) What is the probability that no more than 9 of the next 12 trees planted will survive? (c) What is the probability that at least 9 of the next 12 trees planted will survive? (d) What is the probability that 6 to 9 (at least 6 but no more than 9) of the next 12 trees survive? (e) How many of the next 12 trees planted would you expect to survive?
If a graph represents a probability distribution, then the total area under the curve is what?

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