8. (harder) Josh takes a 20-question multiple-choice exam in which each question has 5 options. He knows the answers to some of the questions, while he just makes lucky guesses on the rest. Suppose that the conditional probability of his knowing the answer to a randomly selected question given that he got it right is 92%. How many of the 20 questions was he prepared for? That is, How many of the questions did he know the answer to?

Q: LaToya rolled three number cubes during a probability experiment. She recorded whether she rolled an…

A: From the given data: n( exactly 2 odds)=21 Total=60   P( exactly 2 odds)=n( exactly 2…

Q: Jeri is listening to the songs on a new CD in random order.  She will listen to two different songs,…

A: Given, Jeri will listen to two different songs, and will buy the CD if she likes both of them.…

Q: Suppose that the random variable x, shown below, represents the number times . P(x) represents the…

A: a) The random variable x defines the number of times a randomly selected person having received that…

Q: A quiz consists of 10 multiple-choice questions each with 4 possible choices. For someone who makes…

A: Solution: Let X be the random variable that the number of correct answers in a quiz. n= 10 total…

Q: You are to flip a fair coin, where probability of heads is equal to 50% (and tails is 50%). The fair…

A: Answer:- Given, The probability of head , P(H) = 50% = 0.50  The fair coin is flipped, n = 100000…

Q: One professor grades homework by randomly choosing 5 out of 14 homework problems to grade. (c).…

A: Permutation and combination are the two important concepts in statistical probability. These two are…

Q: Kelly is a "moonshot" person. He tried to take the 100-item multiple choice exam without studying at…

A: Solution

Q: Suppose that 60% of people have brown eyes and that 5% of people have red hair. We randomly select…

A: Given information: Let A be the event that  people have brown eyes. P(A)= 0.60B be the event that…

Q: Camila sets up a passcode on her smart phone, which allows only five-digit codes. She has heard that…

A: Given : The passcode consists of 5 digits  Out of 5 digits one digit appeared 2 times (because…

Q: Camila sets up a passcode on her smart phone, which allows only four-digit codes. She has heard that…

A: The total number of digits in pass code = 4The total unique numbers in pass code = 3 The total…

Q: In a room of 42 people , there are 16 boys and 26 girls. 8 boys and 12 girls are wearing a school…

A: Given that In a room of 42 people , there are 16 boys and 26 girls. 8 boys and 12 girls are wearing…

Q: P6. Consider the process of a student showing up for an exam in the wrong classroom and have…

A:

Q: Belle attended a music store's banjo sale. She counted the types of banjos and made note of their…

A: Required probability is P(4 strings/25% off)

Q: Q1. A multiple choice test contains 10 questions, each with four answers. Assume a student just…

A:

Q: A test consists of 10 multiple choice questions, each with five possible answers, one of which is…

A: It is given that the number of multiple-choice questions is 10.

Q: how many blue M&M’s were originally in the dish?

A: Given,  Total number of M&M's in candy dish n(total) = 16 Probability of choosing blue = 5/16

Q: In a multiple choice quiz there are 5 questions and 4 choices for each question. Robin has not…

A: a.The required probability is calculated as follows:

Q: You are taking a multiple choice test that you did not study for. If there are 9 questions, each…

A:

Q: Lucas buys a bag of cookies that contains 5 chocolate chip cookies, 9 peanut butter cookies, 8 sugar…

A: There are 5 chocolate chip cookies, 9 peanute butter cookies, 8 sugar cookies and 6 oatmeal cookies.

Q: There are 12 chocolate cakes, 18 cheesecakes, and several cream cakes in a refrigerator. If the…

A: Here we make an equation and then solve that equation.

Q: |cherry |grape lime gum 21 35 19 75 Taffy 19 15 26 60 40 50 45 135

A: Given information: A data regarding a sample of candies is provided as:   Cherry grape lime…

Q: The probability Kayla will score above 80% on a mathematics test is 0.60. Kayla will take five tests…

A:

Q: A number is drawn at ramdom from a box. There is a 20% chance for it to be less than 10. There is…

A: A number is drawn at ramdom from a box. There is a 20% chance for it to be less than 10. There is…

Q: You are taking a multiple-choice quiz that consists of 10 questions. Each question has 5 possible…

A:

Q: ia has five numbered cards. One of these cards is chosen at random. Mia says: The probability of an…

A: Sample space: {1A, 1B, 1C, 2A, 2B, 2C, 3A, 3B, 3C} As we know that the sample space consists of all…

Q: Political scientists want to determine the probability of exactly 3 out of the next 5 voters they…

A:

Q: Delaney is about to take a final exam that consists of 20 questions. To motivate her to study, her…

A:

Q: c. A multiple-choice test consists of 15 questions each with five possible answers of which only one…

A:

Q: A quiz for a class consists of 5 questions. The questions are multiple choice with 4 possible…

A: Introduction: If X ~ Binomial (n, p), then the probability mass function of X is: Here, n is the…

Q: You took a multiple-choice math test where there were 10 questions and each question had 4 answers…

A: Let the R.V X denotes the number of correct questions and it follows the binomial distribution…

Q: Q.3 (i) You are taking a 50 question multiple choice test. Each question has 4 choices. Clueless on…

A: a) Given that there are total 4 choices for each question and among them 1 is correct. So the…