Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 5.4 per year. a. Find the probability that, in a year, there will be 4 hurricanes. b. In a 45 year period, how many years are expected to have 4 hurricanes?

Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 5.4 per year. a. Find the probability that, in a year, there will be 4 hurricanes. b. In a 45 year period, how many years are expected to have 4 hurricanes?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Let X = {Email, In Person, Instant Message, Text Message}; P(Email) = 0.06 P(In Person) = 0.55 P(Instant Message) = 0.24 P(Text Message) = 0.15 Is this model a probability distribution? A. Yes. B. No. C. Maybe.
Which one of the following probabilities is cumulative probability? 1.The probability that there are exactly 4 people with o positive blood in a sample of 10 people. 2. The probability of exactly 3 heads in 6 flips of a coin 3. The probability that the accumulated annual rainfall in a certain city next year, rounded to the nearest inch, will be 18 inches. 4. The probability that a randomly selected woman's height is 67 inches or less
Suppose that births in a hospital occur randomly at an average rate of 1.9 births per hour. Assume that the probability of a birth is the same for any two time intervals of equal length. a. Which distribution can we use in this case? b. What is the probability that we observe at least 3 births in a 2-hour interval?c. Suppose that births occur randomly in hospital A and hospital B at an average rate of 2.1 births and 3 births per hour, respectively. What is the probability that we observe 7 births in total from the two hospitals in a 1-hour period?
Assuming that the probability that an individual changes residence during the year is 0.21. A survey is taken of five individuals. What is the probability that three out of five individuals move during the year?
Assume that when adults with smartphones are randomly selected, 48% use them in meetings or classes. If 6 adult smartphone users are randomly selected, find the probability that exactly 3 of them use their smartphones in meetings or classes. ... The probability is (Round to four decimal places as needed.) Next
In an election, suppose that 35% of voters support a school levy increase. If we poll 220 of these voters at random, the probability distribution for the proportion of the polled voters that support a school levy increase can be modeled by the normal distibution pictured below. Complete the boxes accurate to two decimal places .
The probability is 0.4 that a traffic fatality involves an intoxicated or alcohol-impaired driver or nonoccupant. In six traffic fatalities, find the probability that the number, Y, which involve an intoxicated or alcohol-impaired driver or nonoccupant is a. exactly three; at least three; at most three. b. between two and four, inclusive. c. Find and interpret the mean of the random variable Y. a. The probability that exactly three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is nothing. (Round to four decimal places as needed.) The probability that at least three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is nothing. (Round to four decimal places as needed.) The probability that at most three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is nothing. (Round to four decimal places as needed.) b. The probability that between two and four…
Suppose you called your local pharmacy to refill a prescription and are put on hold. Assume that the amount of time you will spend on hold is somewhere between 0 and 13 minutes and it follows a uniform distribution. What is the probability you will be on hold for exactly 8 minutes?
Q3. A 10-year record of tornadoes per year to land in a particular region is 2, 2, 1, 3, 2, 1, 0, 2, 3, and 1. Using Poisson's distribution, what is the probability of not having tornados in any 1 year? What are the average of the number of tornadoes in 1 year?
According to an airline, flights on a certain route are on time 80% of the time. Suppose 17 flights are randomly selected and the number of on-time flights is recorded. The probability that fewer than 11 flights are on time is ___?____ (Round to four decimal places as needed)
Assume that when human resource managers are randomly selected, 38% say job applicants should follow up within two weeks. If 30 human resource managers are randomly selected, find the probability that exactly 23 of them say job applicants should follow up within two weeks. a.The probability is?