7) The probability that Mike will watch TV today is 0.9. The probability that his wifeJill will bake cookies today is 0.4. Given that these events are independent, find theprobability that today:a) Mike will watch TV AND Jill will bake cookiesb) Mike will NOT watch TV AND Jill will bake cookiesc) Mike will watch TV AND Jill will NOT bake cookiesd) Mike will NOT watch TV AND Jill will NOT bake cookies"and B stands fo

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Answered: 7) The probability that Mike will watch…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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At a certain state court the jury will convict a defendant if at least 8 out of 12 jurors support a “guilty” verdict. The jurors determined their verdict independently from each other. The probability that each juror will get the “right” decision is 0.8 (which means to convict when the defendant commit the crime and to acquit when he didn’t). a) Find the probability of convicting an innocent person.b) Find the probability of acquits a guilty person.c) Assume that 25% of the defendants in the state are innocent. In a certain year 200 people put on trial. What is the expected value and variance of the number of cases in which juries got the right decision?
4) When horses A, B and C race together, their probability of winning the race is 1/2, 1/3 and 1/6, respectively. Assuming these horses race twice, what is the probability that horse A wins the first race and C wins the second race?
at a certain school, 34% of the students will qualify for financial aid type A and 19% will qualify for financial aid type b. if it is known that 5.1% of the students will qualify for both types of financial aid find: find the probability that a student will qualify for financial aid (at least one of either type A or type B) the probability that a student will qualify for type a and not type b
Ken is considering entering a local fishing tournament, but his choice to enter depends somewhat on whether his rival, Billy, will enter the same fishing tournament. Ken thinks that he has a 0.40 probability of winning the fishing tournament if Billy does not enter the tournament, and a 0.15 probability of winning if Billy does enter the fishing tournament. If the probability that Billy enters the fishing tournament is 0.30, a) find the probability that Ken wins the fishing tournament. b) If Ken does not win the fishing tournament, what is the probability that Billy did not enter the tournament?
a) In a pastry shop in a small town, the probability that a customer buys apple tarts is 0.45, the probability they buy an apple pie is 0.69 and the probability that they buy both an apple tart and an apple pie is 0.27. A customer is chosen at random. i. Find the probability that they buy an apple tart or an apple pie. ii. Given that a customer buys an apple pie, what is the probability that they also buy an apple tart?
In a pastry shop in a small town, the probability that a customer buys apple tarts is0.45, the probability they buy an apple pie is 0.69 and the probability that they buy bothan apple tart and an apple pie is 0.27. A customer is chosen at random.i. Find the probability that they buy an apple tart or an apple pie. ii. Given that a customer buys an apple pie, what is the probability that they alsobuy an apple tart? b) The weight of a green forest frog has a normal distribution with mean 150.3 g and astandard deviation of 5g. Find the probability that a randomly selected frog weighsi. Less than 153g ii. Between 150 g and 158 g c) The random variable X is normally distributed such that X~N(?, 12). It is known that?(? > 32) = 0.0618. find the value of ?.
In a random country, the probability of getting stabbed is 1/4, and 1/6 of being robbed. The probability of being both stabbed and robbed is 1/20.a) Find the probability that a person who is stabbed is also robbed.b) Find the probability that a person who is robbed is also stabbed.c) Is being robbed and being stabbed independent events?
Assume that three stop lights on the way to school are independent. Their time probabilities are P(Red)=0.4, P(Green)=0.5, and P(Yellow)=0.1 values. What is the probability of getting ALL THREE green lights on a trip to school?
5. Brett is off to college . There are 1000 additional new male students, and one of them will be randomly assigned to Share Brett's dorm room. He is hoping that it won't be someone who like s to party or who snores. Use the table below to answer the following questions: Snores (S) Doesn't Snore (DS) | Total 150 Likes to Party (LP) Doesn't Like to Party (DP) Total 250 200 350 550 750 650 1000
American Airlines' flights from Chicago to Dallas are on time 70 % of the time. Suppose 13 flights are randomly selected, and the number on-time flights is recorded. 1.The probability that at least 2 flights are on time is = 2.The probability that at most 4 flights are on time is = 3.The probability that exactly 6 flights are on time is =
Based on a study from the Chronicles of Flippin'' Awesomeness, the probability that Napoleon and Pedro make it to their first period class on time is 0.43. The probability that they make it to their first period class on time, given that they catch the bus is 0.82. The probability that Napoleon and Pedro catch the bus and make it to their first period class on time is 0.44. What is the probability that Napoleon and Pedro catch the bus? Answer in decimal form. Round to 4 decimal places as needed. Your Answer:
At the entrance to an online game, there are two games. The first game is programmed so that in the long run it will produce a winner in 10% of the plays. The second game is programmed so that in the long run it will produce a winner in 15% of the plays. a.) If we play each game once, what is the probability that we will win on both plays? b.) If we play each game once, what is the probability that we will lose on both plays? c.) If we play each game once, what is the probability that we will win on at least one play?

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