Determine if each event is INDEPENDENT or DEPENDENT 1. Rolling two number cubes a. Independent Events b. Dependent Events 2. Selecting playing cards from a deck without replacing a. Independent Events b. Dependent Events 3. Rolling a number cube, flipping a coin, picking a card a. Independent Events b. Dependent Events 4. Lining up 3 monkeys in Mrs. Jones' room a. Independent Events b. Dependent Events 5. Selecting two red skittles from a bag, if you eat them as you select a. Independent Events b. Dependent Events 6. Mr. Alex needs two students to help him with a science demonstration for his class of 18 girls and 12 boys. He randomly chooses one student who comes to the front of the room. He then chooses a second student from those still seated. a. Independent Events b. Dependent Event

Q: Suppose that E and F are two events and that P(E and F) = 0.3 and P(E)=0.8. What is P(FIE)? P(FIE)=…

A: given data  P(E and F) = 0.3 P(E) = 0.8 P(F|E) = ?

Q: Are events A and B independent events?

A: We have given that P(A) = 0.18 P(B) = 0.20 P(A∩B) = 0.05

Q: Define the following two events: A = a bridge has been inspected in the last 6 months and B = a…

A: The intersection of two events implies the collection of those elements, which are common in both of…

Q: If A and B are events with P(A)=0.4, P(A OR B)=0.96, and P(A AND B)=0.14, find P(B). Enter your…

A: P(A)=0.4P(A or B)=0.96P(A and B)=0.14

Q: Given P(A) = 0.052, P(B) = 0.045, and P(C) = 0.149, and that events A, B, and C are mutually…

A:

Q: Given P(A) = 0.09, P(B) = 0.49, P(C) = 0.73 and that events A, B, and C are independent, what is…

A:

Q: Which of the following events are independent, given P(A),P(B), and P(A and B)? A. P(A) = 0.3; P(B)…

A: We have to check

Q: If A, B, C are are independent of C. independent events, show directly that both AUB and A\ B

A: Given that A, B, and C are independent means that, A∩B=B∩C=C∩A=A∩B∩C=φ.... (1) Now, A∪B be can be…

Q: Suppose that E and F are two events and that P(E and F) = 0.1 and P(E)= 0.4. What is P(FIE)?

A: Solution-: Given: P(E and F)=0.1, P(E)=0.4 We want to find P(F|E)=?

Q: Give an example of three events A, B, and C, such that A and B are mutually exclusive, B and C are…

A: Given The events that cannot occur at the same time are called mutually exclusive variables.

Q: Are the two events in each scenario mutually exclusive or not? Explain. d) Walking from home to…

A: If the occurrences of both events cannot occur same time, then the events can be called as mutually…

Q: A,B and c are events: P(A)=.35, P(B)=.45, P(C)=.55. Which of these events, if any could be…

A: The probability of event A (say) and the probability of its compliment is equal to 1.

Q: Consider the following events: A={1, 2, 3, 4, 5, 6, 7} B={2, 4, 6} C={1, 3, 5, 7, 9} Select all the…

A:

Q: You are given two events C and B. You want to determine if the events are mutually exclusive…

A: Determine whether the events C and B are mutually exclusive or not.   The correct option is…

Q: Question: If two events, A and B, are independent, which of the following statements is true? A:…

A: Given;We have two events A and B. both events A and B are indepedent.

Q: Given P(A) = 0.10, P(B) = 0.36, P(C) = 0.27 and that events A, B, and C are independent, what is…

A: Independent Events:   Any three events A , B and C are said to independent if the occurrence of the…

Q: Given the following information, determine whether events B and C are independent, mutually…

A: Concept: Two events are said to be mutually exclusive or disjoint if both the events cannot occur at…

Q: are owning a refrigerator and owning a car independent events why or why not?

A: Independent events: Two events are said to be independent if one happens without impacting the…

Q: Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Suppose that ? and ? are two independent events for which ?(?)=0.29 and ?(?)=0.64. Find each of the…

A:

Q: Let C and D be events with P(C) = 0.1, P(D) = 0.6, and P(C S D) = 0.5. Are C and D independent?…

A:

Q: A marketing company compiled the following stats in a survey for video game players as to whether…

A: Probability is the chance of occurrence of observations, it is calculated by the number of…

Q: If P(A) = 0.30, P(B) = 0.20, P(A and B) = 0.09, what can be said about events A and B? Events A & B…

A: It is given that, P(A) = 0.30, P(B) = 0.20 and P(A and B) = 0.09.

Q: Complete the following table and use it calculate the probabilities given below. A AC Total a. P(A…

A: Since you have posted a question with multiple sub-parts, we will solve first 3 sub-parts for you.…

Q: b) Let A and B are two events such that: P(A) 0.5, P(B) 0.7, and P(AC n BC) = 0.2, use a Venn…

A:

Q: Assume that A and B are events. If P(AUB)= 0.8, P(A) = 0.4, and P(B) = 0.75, find P(AnB). P(AnB) =…

A: For any two eevents A and B, P(A∩B)=P(A)+P(B)-P(A∪B)

Q: Suppose that A and B are two independent events for which P(A)=0.32 and P(B)=0.7. Find each of the…

A:

Q: If ​P(A∪​B)=0.8​, ​P(A)=0.3​, and ​P(A∩​B)=0.25​, find​ P(B). Assume that A and B are events.…

A: The probability of P(B) is obtained below as follows:From the information, given that

Q: Mike Danes has been delayed in going to the annual sales event at one of his favorite apparel…

A: Solution:-To find the probabilities P(A), P(Ac), and P(B), we can use the given information about…

Addition Rule of Probability

It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.

Expected Value

When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).

Probability Distributions

Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.

Basic Probability

The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.