7. You are in charge of a construction project and must cancel work whenever it rains. 3 days (notnecessarily concurrent) have been selected to be the days when an expensive crane and operator areto be rented. At least 50% of the cost of the crane and operator fee must be paid, even if it rains, toreserve their services. The probability that it rains on a certain day is 0.54 (which is independent ofwhether it rained on any other day). What is the probability that it rains all 3 days?

Given that, You are in charge of a construction project and must cancel work whenever it rains. 3…

Answered: 7. You are in charge of a construction…

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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Each of the questions in this boxpertains to rollinga pair of fair dice. Find the probability that the sum is less than 5 and the sum is prime.
A manufacturing process produces, on the average, 3% defective items. The company ships 15 items in each box and wishes to guarantee no more than 1 defective item per box. If this guarantee accompanies each box, what is the probability that the box will fail to satisfy the guarantee?
Brgy. Pallet has one Full Restore and one Max Revive available for emergencies. The probability that the Full Restore is available for use is 0.98 and the probability that the Max Revive is available for use is 0.92. Assuming that the availability of these items is independent of each other, what is the probability that both of these items are available for a Trainer to use?
Please provide steps for how you got the solution to the problem provided below. A freelance worker spends her days doing one of two things: working on a project or looking for a new project. Whenever she has a project to work on, she dedicates her full attention to it. On a particular month, she will complete the current project with probability 0.3. After completing project she takes the rest of the month off, and then at the beginning of the next month starts looking for work. On a given month, she will successfully find a new project with probability 0.85. After identifying a new project, she will start working on it at the beginning of the next month. i. Model the status of the worker (looking for a project of busy working a project) as a Markov chain. Give transition matrix. ii. Suppose that on March 1st she started looking for a new project. Find the probability that she will be working on a project during the month of May.
A certain disease has a prevalence of in a population. The rate of false 4 positives is 10% and and the rate of false negatives is 5%. If you are exposed to the disease, then probability that you contract it is . You can only contract the disease by sharing food. Suppose that you meet 10 people, that each person tests negative for the disease, and that you share food with each of them exactly three times. What is the probability that you contract the disease?
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.
A doctor is seeking an anti-depressant for a newly diagnosed patient. Suppose that, of the available anti-depressant drugs, the probability that any particular drug will be effective for a particular patient is p = 0.32. What is the probability that the patient will need toa. take 4 different drugs until the effective one is found. b. take 5 different drugs until the effective one is found. c. take 7 different drugs until the effective one is found.
Q1. Some couples planning a new family would prefer at least one child of each sex. The probability that a couple’s first child is a boy is 0.512. In the absence of technological intervention, the probability that their second child is a boy is independent of the sex of their first child, and so remains 0.512. Imagine that you are helping a new couple with their planning. If the couple plans to have only two children: What is the probability that at least one girl is born?

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