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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2. The probability that it will rain today is 50%. The probability that it will rain tomorrow is 60%. There is a 30% probability that it will rain both days. What is the probability that it will rain either today or tomorrow?
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
The device consists of 3 elements. The probability of failure free operation of each of them are respectively equal to. 0.6, 0.7, 0.8. Find the probability that at least two of elements will work without fail.
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.
Suppose that you repeatedly roll a pair of fair dice and keep track of the sum. What is the probability that you see a sum of 7 before you see an even sum 3 times? (In particular, you keep track of how many evens you roll, and you want the probability that you roll a 7 before you get to 3 evens.
The probability that an applicant will be approved for a mortgage is 0.15. Each applicant has the same probability of being approved and the event that they are approved are independent. What is the probability that out of three applicants, exactly two of them get approved? Enter your answer as a decimal, with three decimal places. For example, if the probability is 15.37%, enter 0.154
Show all your work and explain each step. A laboratory blood test is 0.95 effective in detecting Corona virus, when it is, in fact, present. However, the test also yields a "false positive" result for 1 percent of the healthy persons tested. (That is, if a healthy person is tested, then, with probability 0.01, the result will imply s/he has the Corona virus.) If 0.5 percent of the population in King County has the virus, what is the probability a person has the virus given that his or her test result is positive?
A vase contains purple, pink and yellow flowers. You and a friend are both allowed to choose one flower each from the vase to take home. You choose a flower first and then your friend chooses a flower. The probability that you choose a purple flower and then your friend chooses a yellow flower is 0.629. The probability your friend picks a yellow flower after you choose a purple is 0.85. The probability, to the nearest hundredth, that you choose a purple flower is A
The probability that a new computer functions for over 10,000 hours is 0.8, the probability that it functions for over 20,000 hours is 0.4 and the probability that it functions for over 30,000 hours is 0.1. If a new computer is still working after 10,000 hours, what is the probability that i. its total life will exceed 20,000 hours;ii. its additional life will exceed 20,000 hours?
Please provide steps for how you got the solution to the problem provided below. A machine is used to produce one of each of two types of product (A and B) on alternating days, i.e., if A is produced today then B will be produced tomorrow and vice versa. Each day, there is a probability that the machine malfunctions. Malfunction probability after a day of operation is 0.03 when producing A and 0.07 when producing B. Once the machine malfunctions, it is no longer operable and will not be replaced until sometime in the future (beyond modeling horizon). Model the system as a Markov chain (give transition matrix on your paper). Suppose that on Monday product A was produced. Find the probability that the machine is still operable by the morning of Thursday. Your model should have a state ”malfunction”, which cannot transition to any other state other than itself.
The probability that Mr. Johnson goes for an evening walk on any given day during the winter is 0.56. Out of 89 days of winter, the number of days that Mr. Johnson is expected not to take an evening walk to the nearest day, is
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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