Which of the following probabilities are feasible for an experiment having sample space (S₁, S2, S3}?(a) Pr(s₁) = 0.25, Pr ($2) = 0.25, Pr ($3) = 0.4(b) Pr (S1) = 0.7, Pr (S2) = 0.7, Pr ($3) = -0.43(c) Pr (s₁) = 0.2, Pr ($₂2) = 0.2, Pr($3) = 5Choose the correct answer below.OA. (b) and (c)O C. (a) and (b)O E. (a), (b), and (c)O G. (a) onlyCO B. (c) onlyO D. (b) onlyOF. (a) and (c)O H. None of the probabilities are feasible.

Answered: Image /qna-images/answer/2c43efa8-998d-4c00-8906-53627e9fdc11.jpg

Answered: Which of the following probabilities…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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An experiment can result in one of five equally likely simple events, E₁, E₂, A: E₂, E4 2' P(A) = = 0.4 B: E₁, E3, E4, E5 P(B) = 0.8 C: E₂, E3 Refer to the following probabilities. P(A n B) = 0.2 P(AIB) = 0.25 P(BIA) P(BU C) = 1 P(BIC) 0.5 P(CIB) 0.25 Use the Addition and Multiplication Rules to find the following probabilities. (a) P(AUB) (b) P(An B) = 0.5 P(A U B) = ---Select--- + ---Select--- ✓ P(A n B) = ---Select--- (c) P(B n C) Yes P(B n C) = ---Select--- No P(C) = 0.4 . P(B) = = P(C) = = ---Select--- V = Do the results agree with those obtained by listing the simple events in each? P(A U B) = P({E₁, E₂, E3, E4, E5}) = 1 P(A n B) = P({E₁}) = 0.2 P(B n C) = P({E3}) = 0.2 .., E5. Events A, B, and C are defined as follows.
A news company reported that 6% of adult Americans have a food allergy. Consider selecting 15 adult Americans at random. Define the random variable x as x = number of people in the sample of 15 that have a food allergy. Find the following probabilities. (Round your answers to three decimal places.) (a) P(x < 2) (b) P(x ≤ 2) (c) P(x ≥ 3) (d) P(1 ≤ x ≤ 2) You may need to use the appropriate table in the appendix to answer this question.
Got one binomial experiment, n1=75 binomial trials produced r1= 30 successes. For a second independent binomial experiment n2=100 binomial trials produced r2=50 successes. At the 5% level of significance, test the claim that the probabilities of success for the two binomial experiments differ.
The president of Doerman Distributors, Inc., believes that 28% of the firm's orders come from first-time customers. A simple random sample of 100 orders will be used to estimate the proportion of first-time customers. What is the probability that the sample proportion will be between 0.16 and 0.40 (to 4 decimals)? What is the probability that the sample proportion will be between 0.21 and 0.35 (to 4 decimals)?
A news company reported that 7% of adult Americans have a food allergy. Consider selecting 15 adult Americans at random. Define the random variable x as x = number of people in the sample of 15 that have a food allergy. Find the following probabilities. (Round your answers to three decimal places.) (a) P(x < 2) (b) P(x ≤ 2) (c) P(x ≥ 3)
c. Tests from a laboratory show that 20% of rats have a deadly disease that can be transmitted via contact with their faeces. The Ministry of Health sought to verify this claim by testing some of the rats. (i) What is the probability that they will have to test at most 2 rats to find the first case of the disease? (ii) What is the standard deviation of tests before the first rat with the disease is found?
The acceptable level for insect filth in a certain food item is 2 insect fragments (larvae, eggs, body parts, and so on) per 10 grams. A simple random sample of 40 ten-gram portions of the food item is obtained and results in a sample mean of x=2.3 insect fragments per ten-gram portion. What is the probability a simple random sample of 40 ten-gram portions of the food item results in a mean of at least 2.3 P(x≥2.3)= (Round to four decimal places as needed.)
(a) In an experiment, a pair of dice (green and blue) are tossed and the numbers that come up are recorded. Assume that the first outcome is for the green die whereas the second outcome is for the blue die. (i) List the sample space S; (ii) List the elements for event X = {sum is greater than 8}; (iii) List the elements for event Y = {2 occurs on either die or both}; (iv) List the elements for event Z= {number greater than 4 comes up on the green die}; (v) List the elements corresponding to the event X Z; (vi) List the elements corresponding to the event Y N Z;
A population proportion is 0.58. Suppose a random sample of 658 items is sampled randomly from this population. what is the probability that the sample proportion is between 0.53 and 0.56? What is the probability that the sample proportion is less than 0.49?
Find the indicated probabilities: a. P(5sxs7); µ=6; o=2 ANS: b. P(10sxs16); µ=15; 0=4 ANS: c. P(7sxs9); H=5; o=2 ANS: d. P(1sxs2.6); µ=1.5; 0=0.4 ANS:
Which of the following represents the probability of getting exactly 7 favorable outcomes from 15 trials if the probability of a favorable outcome is 65% O 15 P:(.65) (.35) O 15 C;(.35)"(.65) O 15C7(.65) (.35)* O „C15(.65) (.35)"

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