1%99 ll• A OAssignment 3.pdf...SCST 310Assignment# 3Chapter# 4Question# 1:A car has five traffic lights on its route. Independently of other traffic lights, each traffic light turns red as thecar approaches the light (and thus forces the car to stop at the light) with a probability of 0.4.a. Let K he a random variable that denotes the number of lights at which the car stopswith parameters (5,0.4), What is the PMF of K?b. What is the probability that the car stops at exactly two lights?c. What is the probability that the car stops at more than two lights?d. What is the expected value and the variance of KQuestion# 2:The number of phone calls that arrive at a secretary's desk has a Poisson distribution with a mean of 4 per hour.a What is the probability that no phone calls arrive within hour?b. What is the prohability that more than 2 calls arrive within a given hour?e. What is the prohability that exactly three calls arrive within a given hour?Question# 3The lifetime X of a system in weeks is given by the following PDF:0.25 e-a2s xfklx] =x< 0a. What is the expected value of X?b. What is the CDF of X?e. What is the variance of X?d. What is the probability that the system will not fail within two weeks?SCST 310Assignment# 3Chapter# 4Question# 4:A random variable X is uniformly distributed between 3 and 15. Find the following:a The expected value of X.b. The variance of X.c. The probability that X lies between 5 and 10.d. The probability that X is less thanQuestion# 5:II

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Description: 1%99 ll• A OAssignment 3.pdf...SCST 310Assignment# 3Chapter# 4Question# 1:A car has five traffic lights on its route. Independently of other traffic lights, each traffic light turns red as thecar approaches the light (and thus forces the car to stop

Let, K be the random variable that denotes number of lights at which the car stops Where,…

Math

Probability

A car has five traffic lights on its route. Independently of other traffic lights, each traffic light turns red as the car approaches the light (and thus forces the car to stop at the light) with a probability of 0.4. a Let K he a random variable that denotes the number of lights at which the car stops with parameters (5,0.4). What is the PMF of K? b. What is the probability that the car stops at exactly two lights? c. What is the probability that the car stops at more than two lights? d.What is the expected value and the variance of K?

A car has five traffic lights on its route. Independently of other traffic lights, each traffic light turns red as the car approaches the light (and thus forces the car to stop at the light) with a probability of 0.4. a Let K he a random variable that denotes the number of lights at which the car stops with parameters (5,0.4). What is the PMF of K? b. What is the probability that the car stops at exactly two lights? c. What is the probability that the car stops at more than two lights? d.What is the expected value and the variance of K?

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...

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