Let A be the event that a student gets an A in Basic Statistics. Let F be the event that a student fails the Basic Statistics final. Event A has probability 0.10. Event F has probability 0.15. Suppose events A and F are disjoint. Which of the following statements is correct? a. P(A and F) = 0.015 b. P(A and F) = 0.25 c. P(A or F) = 0 d. P(A or F) = 0.25

Q: Mary and Susan are each to play a tennis match. Let the probability that Mary wins her match be 0.65…

A:

Q: Suppose that the probability of event A is 0.33 and the probability of event B is 0.41. If A and B…

A: We have to find given probability.

Q: Suppose P(E) = 0.3, P(F) = 0.5, and P(E or F) = 0.7. Are the events E and F are mutually exclusive?…

A: It is given that P(E) = 0.3 and P(F) = 0.5.P(E) + P(F) = 0.3+0.5 = 0.8.

Q: Which of the following events occur with a probability of zero? B. A person who is driving a car and…

A: The term probability represents the chance of happening of an event. The range of probability is 0…

Q: Two dice are rolled. Each comes up with a number between 1 and 6. Let A be the event that the number…

A: Two dice are rolled.Sample space S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) (2,1) (2,2) (2,3) (2,4)…

Q: Suppose that A and B are events such that P(A) = 1/4, P(B) = 1/3, and P(A or B) = 1/2. a. Are events…

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: Let A, B and C be three independent events such that P(A)= P(B)= 0.3 and P(C)=0.5. Find the…

A:

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

A: P(Ac or Bc)=P(Ac)+P(Bc)-P(Ac∩Bc)

Q: To the right are the outcomes that are possible when a couple has three children. Assume that boys…

A: We have given that  8 possible out come in which exactly 1 boy.

Q: Event A has probability 0.4. Event B has probability 0.5. If A and B are disjoint, then what is the…

A:

Q: Given P(A) = 0.150, P(B) = 0.172, and P(C) = 0.185, and that events A, B, and C are mutually…

A: here given, P(A)=0.150, P(B)=0.172 P(C)=0.185   A,B and C are mutually exclusive event. so, P(A and…

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: An event has a probability of .42. The probability of its complement is: Select one: a. can have…

A:

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: Event A has probability 0.4. Event B has probability 0.5. If A and B are mutually exclusive, then…

A:

Q: An automobile is being filled with petrol. The probability that oil is also need to be changed is…

A: If a certain condition is imposed on happening of an event, then the probability of happening of…

Q: If event A and event B are as above and event A has probability 0.3 and event B has probability 0.1,…

A: The following information has been given: Event A has probability P(A)=0.3 Event B has probability…

Q: A and B are independent events. P(A) = 0.50 and P(B) = 0.30. What is P(A and B)? O A. 0.015 B. 0.15…

A: Given

Q: Assume that the probability of any newborn baby being a boy is , and that all births are…

A: 1 - (1/2)^3= 1- 1/8= 7/8. So probability that none of them are boys is 7/8.

Q: Decide whether the following pairs of events are dependent or independent E is the event that a…

A: Given: E is the event that a resident of Texas lives in Dallas, and F is the event that a resident…

Q: Suppose that events E and F are independent, P(E) = 0.4, and P(F) = 0.6. What is the P(E and F)? The…

A: The provided information are: P(E)=0.4 P(F)=0.6 The events are independent events to calculate P(E…

Q: When two events cannot occur at the same time, they are said to be OA mutually exclusive. OB. not…

A: In this case, we need to find the suitable option for the given statement.

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: e) Let's say you select randomly select 3 students at the college, what is the probability that at…

A: I have solved only the part(E)

Q: Suppose that, for events A and B, P(A)= 0.2, P(B)= 0.85, and P(AandB)= 0.17.   Are A and B…

A:

Q: Find the probability that David is not late for work, given he drives.

A: The tree diagram summarizes the given probabilities is obtained below:   The probability of drives…

Q: A and B are disjoint events. Suppose that P(B) = 2/5 and P(An B) 1/3. Please find P(A n B) =? %3D O…

A: Given,The events A, B are disjoint events it means P(A∩B)=0P(Bc)=25P(A∩Bc)=13

Q: Let F be an event with probability 0.72. Find the probability of (not F).

A: The Complementation RuleFor any event E,

Q: Given P(A) = 0.71, P(B) = 0.56, P(C) = 0.26 and that events A, B, and C are independent, what is…

A: We have given that  P(A) = 0.71, P(B) = 0.56, P(C) = 0.26 and that events A, B, and C are…

Q: Suppose that, for events A and B, P(A)= 0.2, P(B)= 0.85, and P(AandB)= 0.17. Are A and B…

A: Answer -  Suppose that, for events A and B, P(A)= 0.2, P(B)= 0.85, and P(AandB)= 0.17.…

Q: 0. le 5. A SaBle analysis of examination results of 500 students was made. It was found that 220…

A: Test is that whether the sample results fits the general examination result.

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.