A probability space (S, F P) consists of the sample space S, the event space F and theprobability function P. A subset AC S that is an element of the event space F is said to bean event. The event space F does not necessarily consists of all subsets of s.What of the following statements follow the axiom that the family of events Fhas to attain.1. If A1, i)1,2, ..., is a sequence of events such that the union Un-14; not necessarilyn%3D1is an event.2. The empty amount Ø is not an event3. If A is an event then the negation A° must also be an event.4. If S contains an indefinite amount of outcomes then F has to contains an indefiniteamount of events.5. The sample space S is always an event

Answered: of the following statements follow 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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a) During the Restricted Movement Order (RMO), the maximum number of people can ride on a 7-seater car is only 4 people. In how many ways can a family of 10 people be seated on the car if the father must be on the car? In how many ways can the word ASTRAZENECA be arranged if the arrang ent must start with Z? b) The probability that a particular day will be sunny is 0.6. The probability that Aisyah will be going for a shopping on a sunny day is 0.6 and the probability that she will begoing for a shopping on a rainy day is 0.2. a) Draw a tree diagram to represent the above information. If Aisyah goes for a shopping on a particular day, find the probability that it is a rainy day. b)
8. Probability
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.…
A person chooses 2 different odd numbers at a time in a set containing the numbers from 3 to 9. If event E is that 7 is chosen 1st, then find the set representing E
Which of the following expressions represents the number of distinguishable permutations of the letters of the word CONCLUSIONS? O 11!/(2!2!2!2!) 11!/8! O 11!/(2!2!2!) O 11!
”A is a subset of B. Therefore A is a subset of P(B).” This statement is incorrect as written. Assuming the first sentence is true, what is incorrect about the second sentence? State the second sentence correctly.
Choose the right answer quickly please
Four fair eight-sided dice are rolled. An outcome is an ordered sequence of 4 numbers between 1 and 8. For example, the sequence 1-1-4-3 is different from the sequence 4-1-3-1. a) How many outcomes are possible? b) What is the probability that a roll results in 4 different numbers? c) What is the probability that a roll results in 4 of the same number? a) The number of possible outcomes is (Simplify your answer.) b) The probability that a roll results in 4 different numbers is (Type an integer or decimal rounded to four decimal places as needed.) c) The probability that a roll results in 4 of the same number is (Type an integer or decimal rounded to seven decimal places as needed.)
Prove logically that *C, ="C, "C, +"C, "C,, + "C;"C,_2 +…+ "C,"C,. n+m

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