QUESTION 7Determine whether the two events given in each statement are independent events or not.a. The events "It snows in Utica, NY" and "The temperature in Utica is below 40°F."These events areb. You take a candy from a bowl of candy, then take a second candy without replacing the first.These events arec. You take a walk on the beach one day and then have dinner at a fast food restaurant. Suppose the first event is that you find aseashell on the beach, and the second event is that the fast food restaurant is serving chicken sandwiches.These events are

We need to determine whether the two events given in each statement are independent events or not.…

Answered: QUESTION 7 Determine whether the two…

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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LO1,2, 31Q1. (22 points)] This question consists of 11 paragraphs. In each part, circle the correct answer. 1. Let A and B be two events such that Ac B, then P(4B)= a. P(A) b. P(4) c. P(B) d. 0 e. None 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 e. None 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 b.0.664 a. 0.336 e. 0.024 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 1 blue ball is. a) 0.749 b) 0.251…
One way to visualize possible events is to depict them in Venn diagram. For example, the diagram below can represent all possible birds observed at West Meadow Beach. Set A corresponds to songbirds (e.g., warblers, finches, sparrows, blackbirds, orioles, etc.), and set B to birds with red on their feathers (e.g., cardinals, red-winged blackbirds, ruby-throated hummingbird, etc.). Many songbirds also have red on their feathers (e.g., cardinals, red-winged blackbirds, robin), but there are birds with red feathers that are not songbirds (e.g., ruby-throated hummingbird). Hence, in this example, the intersection between set A and set B includes songbirds with red, and thus the probability that a bird seen at West Meadow Beach is a songbird with red somewhere on its feathers. We can use these sets to investigate the probability of drawing birds of particular characteristics from the universe of events. For example, the probability of drawing a songbird is represented by set A, while the…
1. I. The events A and B are mutually exclusive. If P(A) = 0.1 and P(B) = 0.3 , what is P(A or B)? II. The events A and B are mutually exclusive. If P(A) = 0.1 and P(B) = 0.5, what is P(A and B)? III. suppose that A and B are two events. If P(A and B) = 0.28 and P(A) =0.9, what is P(B|A)
Please show your solution in step by step process.
Please answer and fully explain.
What do you mean by mutually exclusive event in Addition rule? a. Occurrence of one event prevents the other b. The events can occur at the same time c. None of these. d. Events are independent of each other
Question 1 The Venn diagram below shows the 12 students in Ms. Taylor's class. The diagram shows the memberships for the Softball Club and the Tennis Club. Note that "Jina" is outside the circles since she is not a member of either club. One student from the class is randomly selected. Let A denote the event "the student is in the Softball Club." Let B denote the event "the student is in the Tennis Club." (a) Find the probabilities of the events below. Write each answer as a single fraction. P (A) = P (B) = P(A or B)= P(A and B)= P (A) + P (B)- P(A and B)=
For any two events A and B and P(B)÷1 and A N B = Ø, find weather the following statement is true or not: P(AC/ B)=0 Select one: O True False
If P (Event A)=0.2 and P(Event B)=0.3, and the two events are disjoint, then P (Event A and Event B) is?
For any two events A and B, find weather the following statement is true or not: P(A N B) 21-P(AC)-P(B©) Select one: O True O False
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.
3. Oil exploration : Let D and E be two events in a sample space. It is given that P (D) = 0.4, P (E) = 0.5 and P (DUE) = 0.8. (a) Are the events D and E disjoint? Are the events D and E independent? Then to oil exploration. We imagine two oil fields. The event B = "oil discovery on field 1", while the complementary event B' = "no oil on field 1". Similarly, the event C = "oil discovery on field 2", while C' = "no oil on field 2". We are given that P (B n C) = 0.06, P (B' n C) = 0.12, P (B n C') = 0.11 and P (B' n C') = 0.71. (b) Find the probability of oil on field 1. Assume that oil has been found on field 2. What is now the probability of oil on field 1? Assume that it has been proven that field 2 does not contain oil. What is now the probability of oil on field 1? Are events B and C independent?

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