For a given event, A, P(A) = 0.34.  For a second given event, B, P(B) = 0.44.  Additionally, P (A ⋃ B) = 0.58.  Based on this information, are A and B mutually exclusive? - maybe  - no  - impossible to determine  - yes

Q: Given P(A) = 0.34, P(A and B) = 0.20, P(A or B) = 0.55, what is P(B)?

A: We have given that,  P(A) = 0.34, P(A and B) = 0.20, P(A or B) = 0.55, then, We will find the value…

Q: if you flip a fair coin 8 times and the X is the number of times the coin came up " heads", what is…

A: According to the provided information, a fair coin tossed 8 times.  The possible outcome of a fair…

Q: Given P(B) = 0.47, P(A and B) = 0.10, P(A or B) = 0.51, what is P(A)?

A: From the given information, the probability that occurring event B is 0.47, probability that…

Q: Given P(A) = 0.40. P(B) = 0.30 and P(A and B) = .10. find (a) P(AU B).(b) P(A | B), and (c) P(B |A),

A: Given,P(A)=0.40P(B)=0.30P(A∩B)=0.10

Q: The probability that an event will happen is P(E)=1417. Find the probability that the event will not…

A: It is given that the probability that an event will happen is P(E)=14/17.

Q: What is the value of Σ(X - 4)2 for the following scores?  Scores: 4, 1, 6, 5

A: Given that, Scores (X): 4, 1, 6, 5 Calculate (X-4):

Q: If P(A or B) = 0.7 and P(A) = 0.44, and P(A and B) = 0.22, determine P(B)

A:

Q: Suppose P(A) = 0.48 and P(B) = 0.62. Can A and B be mutually exclusive? Why or why not.

A: We know that, mutually exclusive events are  events which can not happen at the same time.

Q: what is P(A)?

A: P(B) = 0.31, P(A and B) = 0.20, P(A or B) = 0.53

Q: Given P(A) = 0.38, P(B) = 0.44, P(A or B) = 0.27, what is P(A and B)?

A: P(AUB)=P(A)+P(B)-P(A∩B)

Q: What is P( -1.03 < Z < 0.57 )?

A: The question is about standard normal distribution Introduction : Standard normal distribution. Z is…

Q: Given P(A) = 0.47, P(B) = 0.34, P(A or B) = 0.36, what is P(A and B)?

A:

Q: obabilistic expression P(-2.3<Z<1.1)? A. 0.854 B. 0.125 C. 0.146

A: Given:The two z-scores are -2.3 and 1.1 Observe z=-2.3 and z=1.1 in the standard normal table to…

Q: b. Find the probability that a randomly selected acre in the forest has fewer than 43,985 ants. c.…

A:

Q: What will be the probability of losing a game if the winning probability is 0.4533? (just put the…

A: Probability: Probability is a chance factor that occurs at every outcome of a random experiment.…

Q: p(a)= 0.7 p(b)=0.2 and A and B are mutually exclusive, find p(A and B)

A: Given that  p(A)=0.7 , p(B)=0.2

Q: An ice-cream company did a study on preferred ice-cream flavor. The results of the study are shown…

A: a. The contingency table is,   Vanilla Chocolate Other Total Children 3 2 1…

Q: In a survey of 100 college students, 35 were registered in College Algebra, 52 were registered in…

A:

Q: Given P(E or F) = 0.72, P(E) = 0.22, and P(E and F) = 0.04, what is P(F)?

A: Here we need to find P(F).

Q: It is believed that an ice cream making machine at Mulungushi University tuck shop makes corn ice…

A: Given: μ = 5   Explanation: i). Since, the claim that the machine no longer makes 5g corn ice cream…

Q: P (green) = .5; P (white) = .5. What is P (white and green)?

A: From the provided information, P (green) = 0.5 and P (white) = 0.5

Q: Given P(E or F) = 0.72, P(E) = 0.48, and P(E and F) = 0.17, what is P(F)?

A:

Q: Suppose P(B)=0.22, P(A and B)=0.125, and A and B are independent. Find P(Ac) Select one: A. 0.57 B.…

A: Given Information:PB=0.22PA and B=0.125A and B are independent.To find PAc

Q: I found this question on the internet. Can this be calculated P(A|B) and P(Ac|Bc)? I am used to…

A: The objective of this question is to calculate the conditional probabilities P(A|B) and P(Ac|Bc)…

Q: Given P(E or F) = 0.92, P(E) = 0.33, and P(E and F) = 0.07, what is P(F)?

A: Use formula of P(E Or F)

Q: A player rolls a fair dice and gets "$3 multiplied by the value on the dice" in the case of even…

A: Basic concepts of probability are used.

Q: If P(B) = 0.3, P(A or B)= .06, and P(A and B)= .2, find P(A)

A: From the properties of probability, for any two events A and B we have

Q: iven P(E or F) = 0.86, P(F) = 0.15, and P(E and F) = 0.02, what is P(E)?

A:

Q: Given P(E or F) = 0.86, P(F) = 0.26, and P(E and F) = 0.02, what is P(E)?

A: Given P(E or F) = 0.86, P(F) = 0.26, and P(E and F) = 0.02, By the addition theorem  P(EorF) =P(E)…

Q: Given P(E or F) = 0.66, P(E) = 0.26, and P(E and F) = 0.07, what is P(F)?

A:

Q: How was the S1 found on answer A?

A:

Q: Given P(A or B)=0.21, P(A)=0.43, P(B)=.005 What is B

A: The general formula of probability is given by, (P(A or B)=P(A)+P(B)-P(A and B) For this case,…

Q: If P(A) = 0.009, what is the value of P(A)? P(A) = (Type an integer or a decimal. Do not round.)

A: Given, p(A) = 0.009 We will use complement probability of A.

Q: The table shows the number of one doctor's patients who caught a cold one week and whether or not…

A:

Q: If you flip a fair coin 12 times and X is the number of times the coin came up "Heads", what is P(X…

A: From the provided information, A fair coin flipped 12 times that is n = 12 Probability of occurring…

Q: Given P(B) = 0.40, P(A and B) = 0.14, P(A or B) = 0.51, what is P(A)?

A: P(B) = 0.40, P(A and B) = 0.14, P(A or B) = 0.51

Q: Suppose P(A) = 0.6 and P(B| A) = 0.4. Find P(A&amp;B).

A:

Q: If P(A) = 0.73, P(A U B) = 0.88, and P(A n B) = 0.58, find P(B). O 0.15 0.26 0.58 0.73

A: P(A)=0.73P(AB)=0.88P(AB)=0.58

Q: Given P(A and B) = 0.25, P(B) = 0.85, P(B|A) = 0.93, what is P(A)?

A:

Q: Q4  what does y=___

A: Consider the given figure as

Q: If P(A) = 0.1, then (Ã) = 0.8 %3D True or False

A: let A is given any event then A¯ is complement event of A. given, P(A)=0.1

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.