Probability and Statistics in latex codeJust d and e 4.2 Define a random variable X by the following procedure. Draw a card from a standard deck of playing cards. If the cardis knave, queen, or king, then X = 11. If the card is an ace, then X = 1; otherwise, X is the number of the card (i.e. twothrough ten). Now define a second random variable Y by the following procedure. When you evaluate X, you look at thecolor of the card. If the card is red, then Y = X - 1; otherwise, Y = X + 1.(a) What is P({X ≤ 2})?(b) What is P({X ≥ 10})?(c) What is P({X ≥ Y})?(d) What is the probability distribution of Y - X?(e) What is P({Y ≥ 12}?

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Answered: n). Now define a second random variable…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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A die is rolled 8 times. Find the probability of rolling the following. Exactly 8 sixes. The probability is (Use scientific notation. Round to three decimal places as needed.) iew an example Get more help. F3 $ 4 O R F 4 V F4 % 5 T DII G F5 B 6 99+ ¤ Y H F6 & 7 N -* U J F7 * PrtScn 8 M F8 K Home 9 61°F Cloudy Clear all V F9 L End 0 F10 P Check answer PgUp F11 4 [
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Only answer D and E The probability is 0.4 that the final exam is difficult. If the final exam is difficult, the probability is 0.3 that Nancy will pass the course. If the final exam is not difficult, the probability is 0.9 that Nancy will pass the course. (A) What is the probability that the final exam is not difficult? (B) What is the probability that the final exam is difficult AND Nancy will pass the course? [Use the multiplication rule.] (C) What is the probability that the final exam is not difficult AND Nancy will pass the course? [Use the multiplication rule.] D) What is the probability that Nancy will pass the course? [Use additivity from (B) and (C).] (E) Given the observation that Nancy passed the course, what is the probability that the final exam was difficult? [Use Bayes’ Theorem.]
1, 2 and 3
Probability of the Union of Two Sets Conceptual Overview: Explore how the probability of the union of two events equals the probability that either event occurs. The two circles shown below represent two events, A and B. The area of each circle represents the probability of the event. With no overlap you can see that the probability of one or the other of the two events (the union of A and B) written as P(A U B) is the sum of their probabilities. The union is often described as an "OR" statement. The union is the probability of A occurring OR B occurring OR both A and B occurring simultaneously (their intersection). Drag one of the circles so that the circles begin to overlap. You will see that the probability of the union decreases because some probability is included in both sets (their intersection). You can also drag the letter for each set to change its size and thus its probability. P(A) = 0.129, P(B) = 0.067, P(A U B) = 0.195 B
Question Help The values listed below are waiting times (in minutes) of customers at two different banks. At Bank A, customers enter a single waiting line that feed three teller windows. At Bank B, customers may enter any one of three different lines that have formed at three teller windows. Answer the following questions. Bank A Bank B 6.3 6.6 6.7 6.8 7.1 6.7 7.3 7.5 7.8 7.8 9.3 7.8 4.2 5.5 5.9 6.3 77 7.7 8.5 10.0 Click the icon to view the table of Chi-Square critical values. Construct a 90% confidence interval for the population standard deviation o at Bank A. 0.40 min < oBank A< 0.91 min (Round to two decimal places as needed.) Construct a 90% confidence interval for the population standard deviation o at Bank B. min < OBank B
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n). Now define a second random variable Y by the following procedure. When you evalua e card. If the card is red, then Y = X - 1; otherwise, Y = X + 1. is P({X ≤ 2})? ■s P({X ≥ 10})? is P({X ≥ Y})? is the probability distribution of Y - X? e ROY 13}?