9. (Sec. 3.6) Pokemon aretion of 8 Pokemon/km2present in tall grass according to a Poisson process with an average concentra(a) Suppose a sample of 3 km2 of tall grass is examined, and let X be the number of Pokemon in thissample. What is E[X]?(b) What is the probability that X is less than its mean value by more than one standard deviation?II(c) For what amount of tall grass would the probability of containing at least 1 Pokemon be .999?

As per the questionAverage concentration of pokeman per square km is 8a)X is the no of…

Answered: 9. (Sec. 3.6) Pokemon are tion of 8…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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(8)(1)
4.52 Random variables X and Y follow a joint distribution f(x, y) = = 2, 0< x≤y< 1, otherwise. 0, Determine the correlation coefficient between X and Y.
Question 3 The number of accidents which occurs per week on Johnson's Highway follows the Poisson distribution with mean 1.2. A. B. C. Find the probability that: i. ii. The random variable X~ N(25,100). Find: P(X<29) P(23< X<27) No accidents occur in a particular week More than 2 accidents occur in a given week i. 11. 1. 11. Candles are packaged in bags each containing ten candles. A candle is regarded as overweight if it weighs more than 10 grams. The probability that any one candle produced will be underweight is 0.30. A package of candle is selected at random. Calculate the probability, using a binomial distribution that: no candle is overweight exactly THREE (3) candles are overweight
4. Suppose Y has Poisson distribution with A = 3.24. Then E(Y)=3.24. (a) What is the standard deviation of Y? (b) Find P(Y> 1). %3D (a) (b)
Suppose the log-ins to a company's computer network follow a Poisson process with an average of three counts per minute. What is the mean time between counts? What is the standard deviation of the time between counts? a. E(X) = 0.333, SDX) = 0.111 b. E(X) = 0.333, SD(X) = 0.333 Oc. NONE Od. E(X) = 3, SD(X) = 3
(i) What distribution can we assume for the number of customers coming into a DMV in Los Angeles, California, per unit time (e.g., per hour) and (ii) What distribution can we assume for the time taken to serve the customers at the Los Angeles, California DMV office? a. Normal for (i) and Uniform for (ii). b. Poisson for (i) & exponential for (ii). c. Poisson for (i) & exponential for (ii). d. Normal for (i) & exponential for (ii). e. Poisson for (i) and (ii)
5.65. Find the mean µ, variance o², and standard deviation o of each distribution: 2 3 8 (a) (b) X f(x) X f(x) 1/4 -2 1/3 1/2 1/4 -1 7 1/2 1/6
#1. A random sample is to be selected from a normal population with µ= 120 and o=21. (a) Determine the mean and standard deviation of the sampling distribution of xwhen n = (b) How large would n have to be to for o- to be less than or equal to 2.0? = 49.
On the first quarterly examination in Statistics and Probability of the 100 students of Grade 11 senior high school, their exam scores have a mean of 87 and a standard deviation 4. c) What percentage of students have grades between 83 and 91? Gaussian Curve
e 14-25. A car hire firm has two cars which it hires out day by day. The number of demands for a car on each day is distributed as a Poisson variate with mean 1-5. Calculate the proportion of days on which (i) Neither car is used (ii) Some demand is refused.
Suppose that x and y are unknowns with ?(?)=E(X)= 11, var(?)=Var(X)=4, ?(?)=E(Y)= 7 and var(?)=Var(Y)= 100. In addition, suppose that the correlation coefficient of ?Xwith ?Yis .6. Then what is the expected value of xy?
Q.4-52

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