Problem 4. A machine receives signals, and the number of signals it receives has a Poisson (X)distribution. The signal is either positive or negative, and the probability for the signal tobe positive is p. Signals are mutually independent, and are independent of the number ofsignals the machine receives. Let the number of positive signals it receives be n₂ and findthe distribution of η.

Given: The number of signals the machine receives has a Poisson distribution. The signal is either…

Answered: Problem 4. A machine receives signals,…

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

3.) In an experiment on the behavior of young children, each subject is placed in an area with 5 toys. Past experiments have shown that the probability distribution of the number X of toys played with by a randomly selected subject is as follows. Number of Toys Probability 2 3 4 5 0.03 0.16 0.30 0.23 0.17 a.) Find the P(X = 5). b.) If a subject is chosen at random, what is the probability they played with more than 2 toys? c.) If a subject is chosen at random, what is the probability they played with less than 3 toys? d.) Find the expected number of toys played with. e.) Find the standard deviation of the number of toys played with.
13. A continuous random variable is uniformly distributed between 200 and 220. a. What is the probability a randomly selected value will be greater than 215? b. What is the probability a randomly selected value will be less than 205? c. What is the probability a randomly selected value will be between 205 and 215? a. P(x > 215) = (Simplify your answer.) b. P(x< 205) = (Simplify your answer.) c. P(205
4. A weighted die has a probability of a 6 being p where 0 < p < 1. Chris rolls the die 3 times. Let X be the number of times 6 appears on the die. Z is the number of times any number other than 6 appears on the last two tosses. Find the population covariance between X and Y. Interpret the meaning of the value in context of the problem.
Q P.6: On its way, a car meets 4 traffic lights, and the probability that each of them will be red is 0.5. Let X be a discrete random variable equal to the number of traffic lights that were green when the car arrived. X may take the values of 0, 1, 2, 3, 4. (Assume traffic lights are independent.) What is the probability distribution of X? The probability distribution of X is 3 4 p(x) 0.5 0.25 0.125 0.0625 0.0625 The probability of distribution of X is 3 p(x) 0.5 0.5 0.25 0.125 The probability of distribution of X is 3 4 p(x) 0.5 0.25 0.5 0.25 0.125 The probability distribution of X is 1 3 4 p(x) | 0.5 || 0.5 || 0.5 | 0.5 || 0.5 The probability of distribution of X is 3 4 p(x) || 0.0625 0.0625 0.125 0.25 0.5
5. pg 359 Baby elk and their chances Biologists estimate that a randomly selected baby elk has a 44% chance of surviving to adulthood. Assume this estimate is correct. Suppose researchers choose 7 baby elk at random to monitor. Let X = the number who survive to adulthood. The probability distribution of X is shown here. Find the probability that fewer than 3 of the elk survive to adulthood. 0 1 2 3 4 5 6 7 Probability 0.0173 0.0950 0.2239 0.2932 0.2304 0.1086 0.0284 0.0032 Value

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