A section of an exam contains four True-False questions. A completed exam paper is selected at random, and the four answers are recorded. a) List all 16 outcomes in the sample space. b) Assuming the outcomes to be equally likely, find the probability that all the answers are the same. c) Assuming the outcomes to be equally likely, find the probability that exactly one of the four answers is “True.” d) Assuming the outcomes to be equally likely, find the probability that at most one of the four answers is “True.”

Q: A bag contains 9 pennies, 6 nickels, and 5 dimes. If a coin is randomly selected from the bag, then…

A: We have given that,  A bag contains,  Pennies = 9 Nickels = 6 Dimes = 5 Total  = 9+6+5 = 20 Then, We…

Q: survey was done in regards to what type of animals are preferred as pets. Each respondent selected…

A: From the given information we find the probability.

Q: to a survey, 72% Of students plan to attend college. SuppoOse 13 high school students are randomly…

A: Givenp=0.72sample size(n)=13Let "x" be the no.of students plan to attend…

Q: Answer all parts please and thank you :)

A: Solution According to guidelines we solve three subpart

Q: In a statistics class of 42 students, there were 11 men and 31 women. Six of the men and seven of…

A:

Q: A set of coins is flipped. 25% of the coin set has a 20% chance of landing on heads. The other 75%…

A: Given that the set of coins are divided into two types.

Q: Of the cartons produced by a company, 3% have a puncture, 5% have a smashed corner, and 0.4% have…

A: Given that , cartons produced by a company, 3% have a puncture, 5% have a smashed corner, and 0.4 %…

Q: Consider a kindergarten class with four left-handed children and six right-handed children. Two…

A:

Q: all cyclist who competed in a race were given a drug test of the 16 who tested positive, 2 finished…

A: Given information is, cyclists tested positive, and of those that finished at the top cyclists…

Q: Find P41, the 41-percentile. This is the temperature reading separating the bottom 41% from the top…

A: Answer:  Given, Assume that the reading at freezing on batch of thermometers are normally…

Q: There are 35 students ina class. One of them will be elected as the class monitor. The type of…

A:

Q: Two cards are selected from a standard deck of 52 playing cards. The first card is not replaced…

A: The objective of this question is to find the probability of selecting a six and then selecting a…

Q: A teacher of a class of 25 students is trying to decide whether her class will play soccer, or…

A:

Q: Of the cartons produced by a​ company, 9​%have a​ puncture, 3​% have a smashed​ corner, and 0.5​%…

A: Given : Let A : Cartons has a puncture P(A) = 9% = 0.09 Let B : Cartons has a smashed corner P(B) =…

Q: A math class consists of 16 students, 9 female and 7 male. Three students are selected at random,…

A: Given that a math class consists of 16 students, 9 female and 7 male. Three students are selected at…

Q: On a multiple choice quiz, there are eight questions. Each question has four choices (A, B, C or D).…

A: GivenSample size(n)=8p=14=0.25                          (one correct choice in four…

Q: Two cards are selected from a standard deck of 52 playing cards. The first card is not replaced…

A:

Q: 8. 18 members of our class line up for the "Data Club" math photo. If we line up randomly what is…

A:

Q: In a group of 103 students, 34 are diploma level and 22 are bachelor level. Find the probability…

A: Given that Group of 103 students 34 are diploma level and 22 are bachelor level Now, the number of…

Q: An experiment starts with four cards which are numbered 1, 4, 6 and 9 respectively. Two cards are…

A: We can find the answer as below.

Q: A survey has four question True/False was given out. You randomly pick one out of the stack.…

A:

Q: A multiple-choice test contains 25 questions, each with four choices. Assume a student just guesses…

A: Given,n=25p=14=0.25q=1-pq=1-0.25=0.75Let X=A sample of 25 questions the students answered no.of…

Q: In a market survey a random sample of 100 people were asked two questions. Did they buy Frosted…

A:

Q: In a statistics class there are 18 juniors and 10 seniors; 6 of the seniors are females, and 12 of…

A: Given Information: There are 18 Juniors, 10 seniors in a statistics class. 6 of the seniors are…

Q: A financial services committee had 60 ​members, of which 10 were women. If 9 members are selected…

A:

Q: A physics class has 40 students.  Of these, 17 students are physics majors and 15 students are…

A: Given ,A physics class has 40 students . 17 students are physics majors15 students are female .So…

Q: For each question: a. List the outcomes for the event. b. State the probability of the event. The…

A: Event is given by E: The arrow lands on an even number.

Q: A multiple-choice test has 100 questions, each with four alternatives. At least 60 correct answers…

A: Step 1: Binomial distribution,P(X=r)=nCr​​prqn−rTotal number of independent trials,n=100number of…

Q: Out of the 5000 residents of a small town, 470 of them have diabetes. If a resident is chosen at…

A: Number of residents (n) = 5000 Number of residents with diabities (x) = 470. Plug in all the values…

Q: 53% of all Americans have at least some college education. Choose 7 Americans at random. What is the…

A: Given that 53% of all Americans have at least some college education. Hence probability that a…

Q: The acts in a talent competition consist of 4 instrumentalists, 10 singers, and 6 dancers. If the…

A: Given that, There are 4 instrumentalists There are 10 singers There are 6 dancers. The probability…

Q: Find the probability that a randomly selected piece is not blue.

A: Total number of pieces in bag of candy = 110 Probability = (#no of Favorable outcomes)/(#total…

Q: a. Exactly 2 of them need to take another math class. b. At most 2 of them need to take another math…

A: Given that 64% of all students at a college still need to take another math class and 4 students are…

Q: About 45% of students participate in a community volunteer program outside of school. If 50 students…

A: p(participate in program out side college) = p=0.45n=50x=No. of students participatep(x=X) = nxC *…

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.