An editor has a stack of k documents to review. The order in which the documents are reviewed is random with each ordering being equally likely. Of the k documents to review, two are named “Relaxation Through Mathematics” and “The Joy of Calculus.” Give an expression for each of the probabilities below as a function of k. Simplify your final expression as much as possible so that your answer does not include any expressions in the form (a over b). (a) What is the probability that “Relaxation Through Mathematics” is first to review? (b) What is the probability that “Relaxation Through Mathematics” and “The Joy of Calculus” are next to each other in the stack?

Q: Q4. A bag contains 9 white and one black ball. Three of them are taken out at a time from the bag.…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: If P(A) = 0.3, P(B) = 0.3, and P(A and B) = = P(A or B) = X 0.2, find P(A or B).

A: we have probability of P(A)= 0.3 and P(B)=0.3 and P(A and B)=0.2

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: Let P(A) = 0.6 P(B)= 0.2 and P(AUB)= 0.7 Find P(AB) 4

A:

Q: If P(A) = 0.7, P(B) = 0.8, and P(A or B) = 0.9, find P(A and B).

A:

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: If P(A) = 0.36, P(B) = 0.150., and A and B are independent, find P(A | B). 0.36 0.417 0.21 0.51

A: According to the given information in this question We need to identify the correct option

Q: A shooter has 4 bullets. He shoots at the target until he hits it for the first time . And stop…

A: Given that, a shooter has 4 bullets. He shoots at the target until he hits it for the first time and…

Q: Example: Let's P be the probability That's a new aircraft engine will fail at least half of their…

A: Given Information: P indicates the probability that a new aircraft engine will fail at least half of…

Q: woudlnt P(P|S) be .41 instead of .14 because S represents when the cat is asleep and S' represents…

A: Probability explains chance how much an event can happen. It is calculated by number of favorable…

Q: If P(A) = 0.5 and P(B) = 0.80, then P(A or B) must be 0.95.   TRUE or FALSE

A: From the provided information, P (A) = 0.5 and P (B) = 0.80

Q: If P(A or B)=4/5, P(A)=2/3 and P(B)=3/5, then what is the value of P(A and B)? *

A:

Q: If P(A) =0.7, P(B) = 0.1 and A and B are mutually exclusive, find  P(A and B)

A: From the provided information, P (A) = 0.7, P (B) = 0.1

Q: 38% of college students say they use credit cards because of the rewards program. You randomly…

A: n = 10 p = 0.38

Q: Approximately 70% of statistics students do their homework in time for it to be collected and…

A: Givenp=0.70n=50x~Binomial(n=50,p=0.70)P(X=x)=(nx)×px×(1-p)n-x   ; x=0,1,...,n

Q: Consider a gambler who at each gamble is equally likely to either win or lose $1. Suppo that the…

A: From the given information, Each gamble is equally likely to either win or lose $1. P(1)=P(-1)=1/2…

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

Q: Please solve subparts A,B,C with step thank u. Im needed in 30 minutes thank u 5. The probability…

A:

Q: ball is selected at random from the bag, find the probability that the number selected is even and…

A: we have given ten golf ball in which 0-9 number are written 0 1 2 3 4 5 6 7 8 9 we have to find…

Q: Write the vector 3 (if it is possible) as a linear combination of the vectors d1, d 2.

A:

Q: Find the probability of getting 6 face cards (king, queen, or jack) when 6 cards are drawn from a…

A: We have given that the 52 cards of a standard deck. Total face card = 12

Q: If P(A) = 0.5, P(B) = 0.8, and P(A or B) = 0.9, find P(A and B). P(A and B) =

A:

Q: Jennifer has 25 books on her bookshelf. She has 10 fiction books, and the rest are non-fiction…

A: Given,no.of fiction books=10no.of non fiction books=15total no.of books=25

Q: Suppose an airline found that about 7% of the people making reservations on a flight from Miami to…

A: Sample size=n=226 The airplane has only 219 seats. Let r represent the number of people with…

Q: P(A) = 0.4 and P(B) = 0.6. If A and B are independent, what is P(A given B)

A: Given that A and B are independent. P(A) = 0.4 P(B) = 0.6

Q: Let P(A) = 0.2 and P(B) = 0.5. If P(A|B) = 0.3, calculate P(A and B

A: Given data, P(A) = 0.2   P(B) = 0.5 P(A|B) = 0.3 P(A and B)=?

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.