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You're taking a multiple-choice exam and you don't know the answers to two of the questions. Each question has five choices, so the probability of getting a question right by guessing is .20. Draw a tree diagram showing the probabilities of getting none, one, or both questions right by guessing.

You're taking a multiple-choice exam and you don't know the answers to two of the questions. Each question has five choices, so the probability of getting a question right by guessing is .20. Draw a tree diagram showing the probabilities of getting none, one, or both questions right by guessing.

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Using the tree diagram you just constructed and make a table showing the probability distribution of getting zero, one, or both questions right by guessing. (The picture attached show work from the other question in order to anwer the question. Thank you)

You're taking a multiple-choice exam and you don't know the answers to two of the questions. Each question has five choices, so the probability of getting a question right by guessing is .20. Draw a tree diagram showing the probabilities of getting none, one, or both questions right by guessing. P(X=x) =(n)P*(1-P)^- X is random variable denote no of questions quessed right n=²&P=0,2² non quessed Right P(x=0) = (2)x(0.2)) x (1-0.2) (2 02-0) (0.8) ² 1x0.64 = 112-09 hon guesses right 0.64 =64 One guessed right P(x-1)=(²)x(0.2) ¹x (1-0.2) (2-1) = 7(2-1) × (0.2) ¹x (0.8)' = 2x0.2x0.8 0.32 One guessed right is 0.32 both guessed right P(x-2)=(2)x(0.2)²(1-0.2) (2-2) = 2(2-2) x (0.2) ²x (0.8) =1X0.04 = 0.04 Both guessed right is 0.04 O
Transcribed Image Text:You're taking a multiple-choice exam and you don't know the answers to two of the questions. Each question has five choices, so the probability of getting a question right by guessing is .20. Draw a tree diagram showing the probabilities of getting none, one, or both questions right by guessing. P(X=x) =(n)P*(1-P)^- X is random variable denote no of questions quessed right n=²&P=0,2² non quessed Right P(x=0) = (2)x(0.2)) x (1-0.2) (2 02-0) (0.8) ² 1x0.64 = 112-09 hon guesses right 0.64 =64 One guessed right P(x-1)=(²)x(0.2) ¹x (1-0.2) (2-1) = 7(2-1) × (0.2) ¹x (0.8)' = 2x0.2x0.8 0.32 One guessed right is 0.32 both guessed right P(x-2)=(2)x(0.2)²(1-0.2) (2-2) = 2(2-2) x (0.2) ²x (0.8) =1X0.04 = 0.04 Both guessed right is 0.04 O
0.641 (None getting none right by guessing 0.36 one 0.04 Both
Transcribed Image Text:0.641 (None getting none right by guessing 0.36 one 0.04 Both
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