Brian is undecided as to whether to take a French course or a Russian course. He estimates that hisprobability of receiving an A grade would be 1/3 in a French course and 2/5 in a Russian course.If Brain decides to base his decision on the flip of a fair coin, what is the probability that he getsan A in Russian?

Answer Given Probability of receiving an A grade would be in a French course =1/3 and in Russian…

Answered: Brian is undecided as to whether to…

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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A box contains red and green balls. Two balls are randomly selected without replacement. The probability of selecting a red and then a green ball is 0.5. The probability of selecting a red ball in the first pick is 0.5. What is the probability of picking a green ball, given that the first ball picked was red?
Delaney is about to take a final exam that consists of 20 questions. To motivate her to study, her parents promised her $500 if she gets at least 17 questions right. The questions are multiple choice and the probability of her getting a question right is 0.75 on each question of the final exam. What is the probability that she gets exactly 17 questions right? What is the probability that she gets at least 17 questions right?
Jenny works for a local brewing company. She and her team mates try to estimate the Hong Kong consumers’ preference on their beer brand compared to other imported ones. They performed a survey asking if the respondent prefers the company’s brand the most or not. Based on this survey result, they want to decide how much money the company needs to invest on brand promotions in the coming year. This is an important decision for the company, and the management wants to have the probability that the sample proportion p is +/- 3% from the actual proportion p to be very high (i.e., at least 99%). In this case, what is the desirable sample size n for the following two cases? Give the answer in the form of: at least ___ x100 samples. Case i. When the actual proportion is 50%. Case ii. When the actual proportion is 10%. Explain why the sample sizes required to achieve the same accuracy in the two cases are different.
June is a student taking a statistics course. Unfortunately, June is not a diligent student. She does not read the textbook before or after class, does not do homework, and regularly misses class. She intends to rely on luck to pass the next quiz. The quiz consists of 10 multiple-choice question. Each question has five possible answers. Only one of the answers is correct, so the probability of choosing the correct answer is 0.20. June plans to guess the answer to each question independently. Let � be the number of correct answers on June’s quiz. What is the standard deviation of correct answers for June? Group of answer choices 8 2 1.26 1.14 None of These
A sample of 2500 patients were taken to assess a medical test. 40% of the sample had a positive test, 563 patients have the disease and tested negative, and 235 patients do not have the disease and tested positive. What is the probability someone has a positive test if it is known they do have the disease? (round your answer to 4 decimal places) What is the probability someone does not have the disease if their test is known to be negative? (round your answer to 4 decimal places)
An IQ test contains (20) multiple choice questions. You have to answer all of these questions knowing that the pass grade for this test is to answer (10) or more questions correctly. Assume that you will answer the questions randomly and the probability for answering each question correctly is (0.6).A. What is the probability that you will pass the test?B. What is the probability that you will answer all questions correctly?C. What is the probability that you will answer all questions wrongly?D. What is the probability that you will answer at most three questions wrongly?E. What is the probability that you will answer at least three questions correctly?F. What is the probability that you will answer the first three questions correctly?G. What is the probability that you will answer only the first three questions correctly?
Frank noticed that his mother will serve salad with dinner 78% of the nights, will serve potatoes with dinner 30% of the nights and will serve both 14% of the nights. The probability, to the nearest hundredth, that Frank's mother will serve salad or potatoes is
If the probability that the Islanders will beat the Rangers in a game is 81%, what is the probability that the Islanders will win at least three out of five games in a series against the Rangers? Round your answer to the nearest thousandth.
Answer sub part D
You will take either a basket weaving class or a philosophy class, depending on what your advisor decides. You estimate that the probability of getting an A in basket weaving is 0.35 (it is a hard class), while in philosophy your probability of getting an A is 0.84. However, your major is straw construction, and the chance of your advisor choosing the philosophy class is only 40%. What is the probability that you get an A? The probability that you get an A is (Give the exact simplified probability.)
You are analysing a factory. Stage 3 of the manufacturing process has a 70% chance of finishing on time. If it does finish on time, the chance of Stage 4 finishing late is 25%. The overall chance of Stage 4 finishing on time is 64.875%. What is the chance that Stage 4 finishes late if Stage 3 finished late?

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