Two different airlines have a flight from Los Angeles to New York that departs each weekday morning at a certain time. Suppose that E denotes the event that the first airline's flight is fully booked on a particular day, and F denotes the event that the second airline's flight is fully booked on that same day. Suppose that P(E) = 0.7, P(F) = 0.6, and P(E n F) = 0.56. (a) Calculate P(E | F) the probability that the first airline's flight is fully booked given that the second airline's flight is fully booked. (Round your answer to three decimal places.) (b) Calculate P(F | E). (Round your answer to three decimal places.)

Two different airlines have a flight from Los Angeles to New York that departs each weekday morning at a certain time. Suppose that E denotes the event that the first airline's flight is fully booked on a particular day, and F denotes the event that the second airline's flight is fully booked on that same day. Suppose that P(E) = 0.7, P(F) = 0.6, and P(E n F) = 0.56. (a) Calculate P(E | F) the probability that the first airline's flight is fully booked given that the second airline's flight is fully booked. (Round your answer to three decimal places.) (b) Calculate P(F | E). (Round your answer to three decimal places.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

We are at a city named Freezo, close to the North Pole, where the days are either "warm" or "cold" (with temperature either above of below freezing). Assume that if we have a cold day today, then tomorrow will be also be cold with probability p (and warm with probability 1 – p), and if today is warm then tomorrow will be warm with probability q (and cold with probability 1 – q). Here p and q are some numbers in the interval (0, 1). Consider a matrix 1- A = (8a) Prove that A = 1 is an eigenvalue of A (for any choice of p and q). (8b) Set p = 3/4 and q = 1/2. Find the eigenvector v = of A corresponding to A= 1, such that x + y = 1. (8c) It turns out that the numbers x and y that you found in (8b) represent the long-term probability that any given day will be cold and warm, respectively. We are planning a 30-day event Snowtopia" in 2031 that requires at least 18 cold days during the event. Is Freezo a suitable place to host this event? Explain why.
Which of the following statements is true? Select one of the options i. – iv.The probability of an event that is certain to occur is equal toi. -1ii. 0iii. 1iv. None of the above.
where P = 0 when an event is not possible (never occurs) and P = 1 when the event is. sure (always occurs) а. b. non event true с. Not above d. Expected
V. (10) The following table of 850 students shows those that have or don't have covid-19 and shows those who had a positive test or a negative test. I just made this data up so don't take this as representative of our current state. Answer the following questions. Negative Test 5 Positive Test Have Covid-19 45 Don't have Covid-19 25 775 Let D be the event you Don't have Covid-19 and N the event you have a negative test. 1. P(D) = 2. P(D I N) = 3. Are D and N independent? 5. What is the probability that you Have Covid-19 even though the test came back negative? 4. Explain TI-84 Plus TEXAS INSTRUMENTS
Suppose that a group of illegal counterfeiters print 1,000 copies of fake $20 bills and introduces them into the economy. Suppose that each bill is used once per week (starting in week 1), and that each time a bill is used, it has a 1 in 5 chance of being detected as fake. If it is detected, it is removed. If not, it is used again. k n-1 (a) What does the expression E 1000 (" ) represent? Explain. n=1 Suggestion: If you are unsure, try writing out the expression for n = 1,2, 3 and consider what these might represent.
a and b
Event A is my wife cooking dinner tonight. It has been determined that P(A) = 0.15. What is P(not A)?
A certain virus infects one in every 250 people. A test used to detect the virus in a person is positive 90% of the time when the person has the virus and 10% of the time when the person does not have the virus. (This 10% result is called a false positive.) Let A be the event "the person is infected" and B be the event "the person tests positive." (a) Using Bayes' Theorem, when a person tests positive, determine the probability that the person is infected. (b) Using Bayes' Theorem, when a person tests negative, determine the probability that the person is not infected. (Do not round until final answer. Then round to three decimal places as needed.)
Events A and B are mutually exclusive. Suppose event A Occurs with probability 0.58 and event B occurs with probability 0.32. Compute the following. (If necessary, consult a list of formulas.) (a) Compute the probability that B occurs but A does not occur. (b) Compute the probability that neither the event A nor the event B occurs.
We are at a city named Freezo, close to the North Pole, where the days are either "warm" or "cold" (with temperature either above of below freezing). Assume that if we have a cold day today, then tomorrow will be also be cold with probability p (and warm with probability 1 – p), and if today is warm then tomorrow will be warm with probability q (and cold with probability 1 – q). Here p and q are some numbers in the interval (0, 1). Consider a matrix p 1- A = (8a) Prove that 1 = 1 is an eigenvalue of A (for any choice of p and q). (8b)| ] Set p = 3/4 and q = 1/2. Find the eigenvector of A corresponding to 1 = 1, such that x + y = 1. (8c) e It turns out that the numbers x and y that you found in (8b) represent the long-term probability that any given day will be cold and warm, respectively. We are planning a 30-day event "Snowtopia" in 2031 that requires at least 18 cold days during the event. Is Freezo a suitable place to host this event? Explain why.