Assume that the time of arrival of the birds at a particular place on a migratory route, as measured in days from the first of the year (January 1 is the first day), is approximated as a Gaussian random variable X with μ = 200 and σ = 20 days. (i) What is the probability that the birds arrive after 160 days but on or before the 210th day?

Assume that the time of arrival of the birds at a particular place on a migratory route, as measured in days from the first of the year (January 1 is the first day), is approximated as a Gaussian random variable X with μ = 200 and σ = 20 days. (i) What is the probability that the birds arrive after 160 days but on or before the 210th day?

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

The lifetime (in years) of a washing machine from a particular company is an exponential random variable with parameter 1/5 . The company offers to replace any machine which breaks within 6 months. (a) What proportion of machines do they need to replace. (b) What is the expected time until a customer needs to buy a new machine? (Each time the company replaces a machine which breaks within 6 months, the company agrees to replace the new machine if it breaks within 6 months.)
the height of a randomly selected male individual in a population is a normal random variable with mathematical expectation m=178 σ =8 what % of the individuals of this population is taller than 185cm?the height of the female individuals in this population is of normal distribution with parameters m=165 cm and σ=7cm. what % of the women are taller than half of the men
Data from 14 cities were combined for a 20-year period, and the total 280 city-years included a total of 112 homicides. After finding the mean number of homicides per city-year, find the probability that a randomly selected city-year has the following numbers of homicides, then compare the actual results to those expected by using the Poisson probabilities: Homicides each city-year а. О b. 1 с. 2 d. 3 е. 4 Actual results 187 76 15 2
Data from 14 cities were combined for a 20-year period, and the total 280 city-years included a total of 153 homicides. After finding the mean number of homicides per city-year, find the probability that a randomly selected city-year has the following numbers of homicides, then compare the actual results to those expected by using the Poisson probabilities: Homicides each city-year а. О b. 1 с. 2 d. 3 е. 4 Actual results 162 89 24 4 1 a. P(0) = (Round to four decimal places as needed.) b. P(1) =D (Round to four decimal places as needed.) c. P(2) = (Round to four decimal places as needed.) d. P(3) = (Round to four decimal places as needed.) e. P(4) = (Round to four decimal places as needed.) The actual results consisted of 162 city-years with 0 homicides; 89 city-years with one homicide; 24 city-years with two homicides; 4 city-years with three homicides; 1 city-year with four homicides. Compare the actual results to those expected by using the Poisson probabilities. Does the Poisson…
The expected life of a certain component in a mechanism is treated as a random variable having a gamma distribution with a = 3 and ß = 2. The average expected life of such component is 12 months, what is the probability that this component can have a greater than average expected life?
The number of automobile sold weekly at a certain dealership is a random variable with expected value 16.Give an upper bound to the probability that the next week sales exceed 18.
The probability of a randomly selected adult in one country being infected with a certain virus is 0.005. In tests for the virus, blood samples from 14 people are combined. What is the probability that the combined sample tests positive for the virus? Is it unlikely for such a combined sample to test positive? Note that the combined sample tests positive if at least one person has the virus. The probability that the combined sample will test positive is (Round to three decimal places as needed.) Is it unlikely for such a combined sample to test positive? O A. It is unlikely for such a combined sample to test positive, because the probability that the combined sample will test positive is less than or equal to 0.05. O B. It is not unlikely for such a combined sample to test positive, because the probability that the combined sample will test positive is less than or equal to 0.05. OC. It is not unlikely for such a combined sample to test positive, because the probability that the…