12-16. In a random arrangement of the letters of the word MATHEMATICS', find tphibability that all the vowels come together.

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Answered: 12-16. In a random arrangement of the…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Two dices are tossed and the absolute difference of the two dices reading is calculated. a) Find the experiment sample space b) Find P(A) where A is an event represents the calculated results is equal or larger than 3. Find P(B) where B is an event represents the calculated results is equal or smaller than 4.
2.9) If 4 distinct balls are placed at random into 4 boxes, find the probability that exactly one boxremains empty.
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Suppose there are n independent trials of an experiment with kgreater than>3 mutually exclusive outcomes, where pi represents the probability of observing the ith outcome. What would be the formula of an expected count in this situation? Choose the correct answer below. A. The expected counts for each possible outcome are given by Eiequals=StartFraction n Over p Subscript i EndFractionnpi. B. The expected counts for each possible outcome are given by Eiequals=pi. C. The expected counts for each possible outcome are given by Eiequals=n. D. The expected counts for each possible outcome are given by Eiequals=npi. Click to select your answer.
let X ~ n(8, 1.5) wwhat is the rpobability associated with an outcome between (6.5, 9.5)?
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1. Let A and B be two events such that ACB, then P(AB)= 1,2,3/Q1. (22 points)] This question consists of 11 paragraphs. In each part, circle the correct an a. P(A) d.0 b. P(A) c. P(B) 2. How many different four-digit numbers can be formed from the digits 1,2,3,4,5,6,7 such that the first digit 3 or 6 also you cannot repeat the digit. a. 240 b.48 c. 120 3. If A, B and C are mutually independent events and that P(A) = 0.3, P(B) = 0.2, P(C) = 0.4. The probability that at least one of the events occur is a. 0.336 c. 0.024 b.0.664 d. 0.976 e. None 4. A box contains 3 red balls and 5 black balls. Balls are drawn randomly one at a time with replacement from the box. The probability that the third red ball is the seventh ball drawn is. a. 0.169 b.0.282 c. 0.179 d. 0.121 e. None 5. A box contains 20 balls, 13 of them are red and the rest are blue. Three balls are drawn randomly without replacement. The probability of getting at least I blue ball is. a) 0.749 b) 0.251 c) 0.479 d) 0.521 a. 0.4 b.…
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An electronic company manufactures electrical resistors with Rave = 40 Q and SD= 2, same unit. What is the probability that the manufactured products will exceed 43 Q? Assume normal distribution. O 17.24% O 82.76% O 93.32% O 6.68%
8.) Six letters of the alphabet are chosen at random. Find the probability that the following "words" are formed: (a) REDSOX (b) A "word" that ends in Y (c) A "word" with no repeated letters (d) A "word" that does not contain A,B, or C
Two numbers are randomly picked from the ranges [-1,2] and [1,3]. a) Write the sample space.b) What is the probability that the sum of these two numbers is less than 4 but greater than 2?c) What is the probability that the sum of these two numbers equals 4?d) The sum of these two numbers is less than 4, greater than 2 and x is greater than yWhat are the chances of it happening?
Only solve parts D-F please.

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12-16. In a random arrangement of the letters of the word 'MATHEMATICS', find t phibability that all the vowels come together. f.