Answered: Consider an experiment with sample…

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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1.3 Let A and B be two events of the same sample space. If A and B are independent and P(A) = 0.5 and P(ANB) =0.1, then: |3D %3| P(B)
Fishing: Northern Pike Athabasca Fishing Lodge is located on Lake Athabasca in northern Canada. In one of its recent brochures, the lodge advertises that 75% of its guests catch northern pike over 20 pounds. Suppose that last summer 64 out of a random sample of 83 guests did, in fact, catch northern pike weighing over 20 pounds. Does this indicate that the population proportion of guests who catch pike over 20 pounds is different from 75% (either higher or lower)? Use a = 0.05. (c) Find the P-value of the test statistic. Sketch the sampling distribution and show the area corresponding to the P-value.
Consider the sample space S = { O1, O2, O3, O4 } and the events E = { O2, O3, O4 } and F = { O1, O3 }. Find the weight of outcome O2 given the following information: Pr[ E ] = 0.85 Pr[ F ] = 0.40 Outcome O2 is three times as likely to occur as outcome O4
TABLE 1 The director of cooperative education at a state college wants to examine the effect of cooperative education job experience on marketability in the work place. She takes a random sample of 4 students. For these 4, she finds out how many times each had a cooperative education job and how many job offers they received upon graduation. These data are presented in the table below. Student Сооplobs JobOffer 1 1 4 2 6 1 3 1 N34
A. Construct the probility distribution of particular experiment by following the instructions given to you. A dog gave birth to a litter of six puppies. Three of them are are male while the rest are female. If you are to be given three of these puppies at random,list all the elements of the sample space using the letters M and F for male puppies and female puppies,respectively.Then asssign a value x of the random variable X representing the number of male puppies you recieve. POSSIBLE OUTCOMES | VALUE OF RANDOM VARIABLE X
Suppose that for a certain experiment P(A) = .47 and P(B) = .25 and P(A B) = .14. Find P(A B). A) .86 B) .72 C) .58 D) .36
The candy company that makes M&M's claims that 10% of the M&M's it produces are green. Suppose that the candies are packaged at random, and the small bags contain 25 M&M's. When we randomly pick a bag of M&M's, we may assume that this represents a simple random sample of size n = 25. Suppose that in a randomly selected small bag of M&M's, there are 5 green M&M's. What is the value of the standard error of p? 0.08 0.0063 0.0794 O 0.10
Suppose that we have a sample space with five equally likely experimental outcomes: E1, E2, E3, E4, E5. Let A = {E1, E4} B = {E2, E3} C = {E2, E4, E5}. (a) Find P(A), P(B), and P(C). P(A) = P(B) = P(C) = (b) Find P(A ∪ B). P(A ∪ B) = Are A and B mutually exclusive? They mutually exclusive. (c) Find AC. (Enter your answer in set notation.) AC = Find CC. (Enter your answer in set notation.) CC = Find P(AC) and P(CC). P(AC) = P(CC) = (d) Find A ∪ BC. (Enter your answer in set notation.) A ∪ BC = Find P(A ∪ BC). P(A ∪ BC) = (e) Find P(B ∪ C). P(B ∪ C) =
F, G, H, and Y are events in the same sample space with P(A) = 0.26, P(B) = 0.39, and P(C) = 0.18, . F G and H are mutually exclusive. In addition, suppose that P(Y|F) = 0.21, P(Y|G) = 0.43, and P(Y|H) = 0.31. What is the value of P(Y)?

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Consider an experiment with sample space S = {A,B,C}. If P(A)=0.6, P(B)=0.2, and P(C)=0.2, then (a) P( B or C ) = (b) P( A and C ) =