Alex has to travel from A to D changing buses atstops B and C enroute. The maximum waitingtime at either stop can be 8 minutes each, butany time of waiting up to 8 minutes is equallylikely at both places. He can afford up to 13minutes of total waiting time if he is to arrive at Don time. What is the probability that Alex willarrive late at D?

Alex has travel from A to D changing buses at stop B and C enroute. The maximum waiting time at…

Answered: Alex has to travel from A to D changing…

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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A store specializing in mountain bikes is to open in one of two malls. If the first mall is selected, the store anticipates a yearly profit of $1,425,000 if successful and a yearly loss of $475,000 otherwise. The probability of success is 1. If the second mall is selected, it is estimated that the yearly profit will be $950,000 if successful; 3 otherwise, the annual loss will be $285,000. The probability of success at the second mall is Complete parts (a) through (c) below 4 - a. What is the expected profit for the first mall?
Wendy needs to get to an airport from a hotel. There is 0.33 chance that she calls a cab, there is 0.11 chance that she gets a Uber. If she cannot get a cab or Uber, she will take a shuttle. If she calls a cab, there is 0.29 chance that she could miss the flight. If she gets a Uber, the chance of missing flight is 0.22. If she takes the shuttle, the chance is 0.28. What is the probability that she misses the flight? (Round your answer to three decimal places)
Imagine an animal that shows two variants; one long-legged and one short-legged. Each female produces 2 female offspring per generation and then dies. The offspring of the long-legged ones survive to adulthood (reproductive age) with a probability of 55% and the offspring of the short-legged ones survive to adulthood with a probability of 45%. If you begin with a population of 60 females of each type, what proportion of individuals will have long legs in 5 generations? (Note that you can ignore males and count only females and their offspring.) Show all work.
In a town, there are three bridges: Bridge A, Bridge B, and Bridge C. On any given day, the probability of each bridge being open for passage is as follows: P(A) = 0.4, P(B) = 0.3, and P(C) = 0.5. If a resident needs to cross all three bridges in succession, what is the probability of successfully crossing all three bridges without encountering any closures?
In a football match, there is a new striker on the Juventus side. The probability that the new striker will score goal today is three times higher than scoring none. Rakin and his friends are watching this match. Rakin tells his friends that the new striker is left footed as he read about him in an article; but, some friends are not believing him. The match is about to start and on the screen there is a note saying opponent defenders of Juventus are strong against right footed strikers. So, the probability of the striker being left footed will be five times higher if the striker scores a goal than scoring none. When match started, Rakin and his friends saw that the new striker is left footed. What is the probability that the striker will score today?
Dace is a political analyst for a presidential candidate (Aspirant A) with two strong competitors (Aspirants B and C). She analyzed that B and C have exactly the same chance of winning a seat while A has twice the chance of either B and C. With the given information, what is the chance of A in winning.
Becky and Carla take an advanced yoga class. Becky can hold 29% of her poses for over a minute, while Carla can hold 35% of her poses for over a minute. Suppose each yoga student is asked to hold 50 poses. Let B the proportion of poses Becky can hold for over a minute and C = the proportion of poses Carla can hold for over a minute. What is the probability that Becky's proportion of poses held for over a minute is greater than Carla's? Find the z-table here. O 0.159 O 0,259 0 0.448 O 0,741 Save and Exit Next Submit Math and rem 96 & 7 8 9. 10
Answers must be in 4 decimals |1. Ben plans to enforce speed limits using radar traps at 4 different locations within the campus. The radar traps at each of the locations L1, L2, L3, and L4 are operated 40%, 30%, 30%, and 20% of the time, and if a person who is speeding on his way to work has probabilities of 0.2, 0.1, 0.5, and 0.2, respectively, of passing through these locations, what is the probability that he will not receive a speeding ticket? 2. Barangay Scout Fernandez has one fire truck and one ambulance available for emergencies. The probability that the fire truck is available when needed is 0.95, and the probability that the ambulance is available when called is 0.90. in the event that there is a fire in the barangay, find the probability that both the ambulance and the fire truck will be available.
Suppose that the population is 1000 people and the probability of cat people is 25% if we take a random sample of 100 people what is the probability that the proportion in the sample will be bigger than 29%
In a city, there are two independent firetrucks, the probability that the first firetruck access to the fire place during ten minutes is 0.75, while the probability that the second firetruck access the fire place during ten minutes is 0.6. what is the probability that both firetrucks can access the fire place at the same time?
XYZ Construction Company has three loaders operating every day in a construction site. During any day, each loader that is operating at the beginning of the day has a 0.25 chance of breaking down. If a loader breaks down during the day, it is sent to a repair station and will be working (operational) two days after it breaks down. (Thus, if a loader breaks down during day 3, it will be working at the beginning of day 5. Let the state of the system be the number of operational loaders at the beginning of the day. How many states does the system have?

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