2. You take a 20-question multiple choice exam on which every correct answer is worth 1 point,and every incorrect answer is worth - points to discourage guessing. Each question has fiveoptions: (A) through (E). On each question, you are able to eliminate one of the options ascertainly wrong (leaving four), and then guess randomly between the other four options.(a) The number of correct answers you give is a random variable X with a binomial distri-bution. What are the parameters (n and p) of that distribution?(b) Express the number of points you receive as a linear transformation aX+b of X, therandom variable from part (a).(c) Find the probability that you get exactly 12.5 points.

Given that you take a 20-question multiple choice exam on which every correct answer is worth 1…

Answered: 2. You take a 20-question multiple…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

80 percent of UNO students drive to campus. Which is more likely (a) Out of 10 randomly selected UNO students, exactly 5 drive to campus (b) Out of 20 randomly selected UNO students, exactly 10 drive to campus.
fair die is rolled three times. A 5 is considered "success," while all other outcomes are "failures." Find the probability of 2 successes. The probability of 2 successes is (Type an integer or a simplified fraction.) ...
A football team consists of 19 each freshmen and sophomores, 15 juniors, and 18 seniors. Four players are selected at random to serve as captains. Find the probability of the following. Enter your answers as fractions or as decimals rounded to 4 decimal places. (a)All 4 are seniors. P(4 seniors)=
Elizabeth brought a box of donuts to share. There are two-dozen (24) donuts in the box, all identical in size, shape, and color Five are jelly-filled, 8 are lemon-filled, and 11 are custard-filled. You randomly select one donut, eat it, and select another donut. Find the probability of selecting a lemon-filled donut followed by a custard-filled donut. (Type an integer or a simplified fraction.) ry ources ions ols Enter your answer in the answer box and then click Check Answer clearAl Chock Answ All parts showing Copyright t 2021 Pearson Education Inc. All rghts reserved. Terms of Use | Privacy Policy | PermissionS/ Contact US/ 2:08 PM 87F Mostly cloudy ^ 7/12/2021 99 Type here to search DELL F12 PrtScr Insert Delete PgUp PgDn F7 F8 F9 F10 F11 F2 F3 F4 F5 F6
Ethan has a bag that contains strawberry chews, apple chews, and lime chews. He performs an experiment. Ethan randomly removes a chew from the bag, records the result, and returns the chew to the bag. Ethan performs the experiment 47 times. The results are shown below: A strawberry chew was selected 36 times. A apple chew was selected 9 times. A lime chew was selected 2 times. If the experiment is repeated 600 more times, about how many times would you expect Ethan to remove a lime chew from the bag? Round your answer to the nearest whole number.
A game is played with two fair 6-sided dice. The player rolls the dice. If the sum of the dice is 7 or less, the player loses $4. If the sum of the dice is 8 or 9, the player breaks-even. If the sum of the dice is 10 or greater, the player wins $10. The random variable X is a player’s gain (in $) from playing this game. a) Find P(X = 0). Give your answer as a fraction in lowest terms. P(X = 0) = Blank 1. Fill in the blank, read surrounding text. b) Find E(X). Give your final answer as a decimal. If rounding, give to 2 decimal places. E(X) = Blank 2. Fill in the blank, read surrounding text. dollars c) Find the standard deviation s for the random variable X. Give the final answer as a decimal rounded to 2 decimal places. s = Blank 3. Fill in the blank, read surrounding text. dollars
Sheniqua buys a bag of cookies that contains 5 chocolate chip cookies, 5 peanut butter cookies, 6 sugar cookies and 4 oatmeal raisin cookies. What is the probability that Sheniqua randomly selects a sugar cookie from the bag, eats it, then randomly selects another sugar cookie? You may answer as a fraction or a decimal rounded to three places.
A box of chocolates contains 39 chocolates of 3 different flavours: 13 dark, 17 milk and 9 white. You randomly pick 9 chocolates. Find the probability that: (a) 8 chocolates are dark, 1 are milk and 0 are white. (b) you get only dark chocolates (c) you get only chocolates of the same kind (d) you get at least one chocolate of each kind. Write the results in fractional form.
A. Javier volunteers in community events each month. He does not do more than five events in a month. He attends exactly five events 35% of the time, four events 25% of the time, three events 20% of the time, two events 10% of the time, one event 5% of the time, and no event 5% of the time. What values does x take on? (Enter your answers as a comma-separated list.) B. Javier volunteers in community events each month. He does not do more than five events in a month. He attends exactly five events 25% of the time, four events 25% of the time, three events 20% of the time, two events 15% of the time, one event 10% of the time, and no events 5% of the time. Find the probability that Javier volunteers for less than three events each month. (Enter an exact number as an integer, fraction, or decimal.) P(x < 3) =
Ethan has a bag that contains strawberry chews, apple chews, and lime chews. He performs an experiment. Ethan randomly removes a chew from the bag, records the result, and returns the chew to the bag. Ethan performs the experiment 47 times. The results are shown below: A strawberry chew was selected 36 times. A apple chew was selected 9 times. A lime chew was selected 2 times. If the experiment is repeated 600 more times, about how many times would you expect Ethan to remove a lime chew from the bag? Round your answer to the nearest whole number.
A quiz has five "Yes-No" questions. A student decided to randomly guess the answer to each question. (a) What is the probability that the students get exactly three questions correct? (b) Each question in the quiz is worth one point and the passing score of the quiz is three. What is the probability that the student passes the quiz?

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS