MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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If P(x)=0, this means that
A. The event X might occur.
B. The event X will occur
C. The event X will never occur
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- I collected data on levels of anxiety after receiving three types of therapies (CBT, psycho education, and psycho analysis). Below are the anxiety scores for 9 patients. Is there a difference in anxiety based on treatment type ? CBT: 3, 2, 0 Psycho Education: 8, 8, 9 Psycho Analysis: 10, 12, 12 (Look at the table)arrow_forwardA college finds that 10% of students have taken a distance learning class and that 40% of students are part time students. Of the part time students, 20% have taken a distance learning class. Let D = the event that a student has taken a distance learning class and E = the event that a student is a part time student. For each part, show how you derive your answer. Show formulas if appropriate. (a) Find P(D and E) (b) Find P(D or E)arrow_forwardLet A be the event that a flight from New York to San Francisco arrives on time and let B be the event that it is a clear day in San Francisco. Suppose the probability of a clear day is P(B) = 0.6. We also know that the probability a plane arrives on time on a sunny day is P(A | B) = 0.9 and on a cloudy day it is P(A | BC) = 0.5. The probability it is a clear day, given that the plane was on time, is: a. 0.54. b. 0.6. C. 0.73. d. 0.2.arrow_forward
- Decide whether the following pairs of events are dependent or independent C is the event that it rains more than 10 days in Chicago next June, and D is the event that it rains more than 15 days.arrow_forwardFor this problem, assume that Pr[A∪B]=0.85and Pr[A]=0.3. (1) What is Pr[B]Pr[B] if A and B are independent events? (2) What is Pr[B]Pr[B] if A and B are disjoint events?arrow_forwardWhich 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.arrow_forward
- Given 2 events, A and B. Suppose P(A) =0.6 and P(B)=0.6. Which one of the following statements must be correct? Select one: O OO O O a Event A and Event B are the same event. b. Event A and Event B can not be mutually exclusive c. P(A and B) 0.6arrow_forwardA student goes to the library. Let event A be that the student checks out a book and event B be that the student uses a library computer. Suppose that we happen to know that P (A) = 0.40, that P (B) = 0.30, and that P (B|A) = 0.5. Compute the following (1) P(Ac)(2) P(A AND B) (3) P(A|B)arrow_forwardP(A) + P(B) = 1 for any events A and B that are mutually exclusive. True Falsearrow_forward
- Let A and B be two events with P(A and Bc) = 1. Find P(B). Recall that Bc denotes the complement of the event B.arrow_forwardA study was conducted to examine how anxiety (measured on a metric scale) varies for people from different age groups (<18 years, 19 - 29 years, 30 - 39 years, 40+ years). It was hypothesised that people <18 years old would have the least anxiety of the four age groups. It was also hypothesised that people 40+ years old would have more anxiety than people 19-29 years old. Which of the following would be an appropriate statistical test to conduct, which addresses these hypotheses? Group of answer choices: Factorial ANOVA Multiple Regression Mixed ANOVA Single factor ANOVA Within Subjects ANOVAarrow_forward9. E and F are two events such that P(E) = 0.60, P(E or F) = 0.90 and P(E and F) = 0.50. Find P(F).arrow_forward
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