A professor tells his students that there will be 16 review problems for the final exam and that the exam will consist of 5 of these questions, verbatim. Now suppose that a student decides to prepare for the exam by selecting 5 questions from the review set at random, and mastering these problems. Assuming that this student is completely unprepared for the 11 questions they ignored, (a) Compute the probability that the student gets a 60% on the exam. That is, the exam consists of 3 questions the student prepared for and 2 questions the student did not prepare for. (b) Compute the probability that the student earns a 40% or better on the exam. (c) Compute the probability that the student gets a 100% on the exam.

Q: The probability of obtaining a head in one toss of a coin is 1/2 and the probability of obtaining…

A: The probability of obtaining a head in one toss of a coin is 1/2  the probability of obtaining two…

Q: A committee of 4 is being formed randomly from the employees at a school: 4 administrators, 30…

A: Combination:   It is nothing but the selection of objects where the order of selection is not…

Q: Suppose that 11 female and 9 male applicants have been successfully screened for 5 positions. If the…

A: Suppose that 11 female and 9 male applicants have been successfully screened for 5 positions. If the…

Q: If there is a chance of rain of 10% on any day, how do I find the chance that it rains on Saturday…

A: P(A or B) means P(A∩B)P(A & B) means P(A∪B)P(A∩B)=P(A)+P(B)-P(A∪B)

Q: For this problem, assume the cooler contains 29 cans, 13 of which are regular, and the rest of which…

A: From the provided information, Total cans = 29 Regular cans = 13 Diet cans = 29 – 13 = 16

Q: Subjects were randomly chosen for a clinical trial consisting of 87 women and 88 men. 17 of the…

A:

Q: (a) Find the probability that among the first 5 songs played you like 2 of them. (Round to four…

A: The probability of songs you like = p = 6/17 p = 0.3529 n = 17

Q: A history class is comprised of 10 female and 3 male students. If the instructor of the class…

A: Given that the information  Number of female students =10 Number of Male students=3 Total =17 we…

Q: A committee of 3 people is selected at random from 5 men and 5 women. What is the probability that…

A:

Q: If a class has 8 boys and 10 girls, determine the following ( assuming that the order of selection…

A: In question, Given that If a class has 8 boys and 10 girls. Then we'll find,  (a). The number of…

Q: Suppose that the probability that Bob will go downtown is  45%.  Now, also suppose that if Bob goes…

A: Given, Suppose that the probability that Bob will go downtown is  45%.  Now, also suppose that if…

Q: A group of 9 people is randomly chosen from 5 freshmen, 3 sophomores, 6 juniors and 4 seniors to…

A: Given information: Number of freshmen, f = 5 Number of sophomores, s = 3 Number of juniors, j = 6…

Q: Suppose a compact disk (CD) you just purchased has 18 tracks. After listening to the CD, you decide…

A: Given,no.of songs you like=6no.of songs you dislike=12total no.of songs =18

Q: So, P(A N B) is the probability that both dice show a 5. Of the 36 possible outcomes, there is only…

A: There are total 62=36 outcomes when two 6-sided dice are rolled.We can get (5, 5) for only 1…

Q: Suppose a class has 30 students, 13 male and 17 female. What is the probability that if a teacher…

A: It is given that the class consists of 30 students of which 13 are male and 17 are female. Teacher…

Q: Assume that two bags contain 4 balls each. Bag A contains 1 red and 3 white, while Bag B contains 2…

A: Given data: The number of red balls in the first bag is rA=1. The number of white balls in the first…

Q: Suppose each time you take a free-throw, there’s 20% chance that it will go in. You must make 5…

A: As given: There is a 20% chance that a throw will go in. Hence, P( throw) = p = 20% or 0.2 The…

Q: If mary has 10 pop cans and there are 4 Coca Cola cans. Let’s assume Mary will place these cans in a…

A: The number of ways in which 10 cans can be arranged in a line at random , with 4 of them being…

Q: What conclusions could you make about the three mistakes? Make sure to explain your conclusion…

A: Answer:----:.             Date:----4/10/2021

Q: Five of the eight students are from Middle Georgia State College. What is the probability that all…

A: According to the provided information, eight college students have applied for the interview. Four…

Q: 5 men and 3 women sit together in a row. Find the probability that (a) the same gender is at each…

A: There are total 8 people. n= 5+3= 8 Number of women= 3  and number of men= 5  Total possible ways to…

Q: We are randomly select 4 people from a group consisting of 6 politicans and 10 criminals. Find the…

A: Number of politicians = 6 Number of criminals = 10 Total number of people = 16

Q: A committee of 4 is being formed randomly from the employees at a school: 6 administrators, 38…

A: Number of administrators = 6 Number of teachers = 38  Number of staff = 5  Total number of employees…

Q: Among the products of the first company, defective is 10%, the second 20%, the third  25%. We bought…

A: The probability that an event occurs, is equal to ratio of number of favourable outcomes for the…

Q: A committee of five people is to be chosen at random from a club with 13 members comprised of five…

A: Given: Total members=13            Total men=5             Total women=8To find: The probability…