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…

Answered: 1. Traffic accidents at a particular…

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...

See similar textbooks

Similar questions

Power failures occur at an electric plant on average 3 times per year. If we can assume this follows a Poisson distribution, answer the following questions. a. What is the probability that there are 4 power failures in 2021? b. What is the probability that there are no more than 2 power failures in a given year? c. How likely is it that there are at least 3 power failures next year?
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. -
6. The life expectancy of a brand of car motors has a normal distribution with "- 75,000 and o - 5,500. a. Find the probability that 1 motor is chosen at random will have a life expectancy of more than 90,000 miles.
16. For a recent period of 100 years, there were 530 Atlantic hurricanes a) State the distribution, the parameters (for each case) and the support of the distribution. b.) Find the probability that over a period of 2 years there are fewer than 5 hurricanes. c.) Find the probability that over a 5 year period there are 10 hurricanes. d.) Find the probability that at least 2 hurricanes happen in a year.
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?
3
Assume that when adults with smartphones are randomly selected, 43% use them in meetings or classes. If 14 adult smartphone users are randomly selected, find the probability that fewer than 3 of them use their smartphones in meetings or classes. The probability is?
In a recent year, a hospital had 4275 births. Find the mean number of births per day, then use that result and the Poisson distribution to find the probability that in a day, there are 13 births. Does it appear likely that on any given day, there will be exactly 13 births? 1) The mean number of births per day is ......? 2) The probability that, in a day, there are13 births is....?
11. A pediatrician records the number of ear infections that his patients have during the winter. A distribution of probabilities for number of ear infections is displayed below. Number of ear infections Probability | 1 0.08 3 4 0.08 0.28 0.35 0.16 0.03 0.02 a) What is the probability that a patient has less than 4 ear infections during the winter? b) What is the mean of the probability distribution? 12. A group of 330 people were surveyed. Their marital status was recorded along with answers to several questions. OD question asked was whether Social Life or Job contributes most to their general well-being. The results from this question appear in the table below. Widowed or divorced 56 Single (never married) 57 33 Married 69 Social Life Job 54 61 a) Find the probability that a randomly selected person chose Social Life. b) Find the probability that a randomly selected person is Married and chose Social Life. c) Find the probability that a randomly selected person chose Social Life…
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?

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS