Consider a random student, the probability that he takes English is 0.2, the probability that he...
Consider a random student, the probability that he takes English is 0.2, the probability that he takes Spanish is 0.3. Therefore the probability that he takes either English and Spanish is: -greater than, less than or equal to 0.5 -less than or equal to 0.5 -greater than or equal to 0.5 -equal to 0.5
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Consider a random student, the probability that he takes English
is 0.2, the probability that he...
In a class of 120 students, 60 take english, 50 take spanish, 20 take both english...
In a class of 120 students, 60 take english, 50 take spanish, 20 take both english and spanish. A student is selected at random, what is the probability that the student : a) takes english. b) takes both english and spanish. c) takes only spanish. d) neither takes english nor spanish. e) does not take english. f) takes english and spanish but not both.
a6 Foreign-language study. Choose a student in a U.S. 12. public high school at random and...
a6 Foreign-language study. Choose a student in a U.S. 12. public high school at random and ask if he or she is studying a language other than English. Here is the distribution of results: Language Spanish French German All others None 12 Probability 0.30 0.08 0.02 0.03 (a) Explain why this is a legitimate probability model. (b) What is the probability that a randomly chosen student is studying a language other than English? (c) What is the probability that a...
1. Choose a student in grades 9 to 12 at random and ask if he or she is studying...continues
1. Choose a student in grades 9 to 12 at random and ask if he or she is studying a language other than English.Here is the distribution of results:Language Spanish French German All others NoneProbability 0.25 0.08 0.04 0.02 0.61What is the conditional probability that a student is studying Spanish, given that he or she is studying some language other than English? Round your answer to 3decimal places.________________In a test for ESP (extrasensory perception), a subject is told that cards...
Given that z is a standard normal random variable, compute the probability that it takes on...
Given that z is a standard normal random variable, compute the probability that it takes on a value that is: - either greater than 2 or less than -2. - that it takes on a value between -2 and -1. - that it takes on a value between 1 and 2. Answer must be between 0 and 1, round to four decimal places.
Bob is gambling in the casino. The probability that he will win nothing is 0.2. The...
Bob is gambling in the casino. The probability that he will win nothing is 0.2. The probability that he will win $10 is 0.3. The probability that he will win $20 is 0.5. What is the mean amount Bob will win?
5.Consider a discrete random variable X with the probability mass function xp(x) Consider Y-g(X) 0.2 0.4...
5.Consider a discrete random variable X with the probability mass function xp(x) Consider Y-g(X) 0.2 0.4 0.3 0.1 a)Find the probability distribution of Y b) Find the expected value of Y, E(Y) Does μ Y equal to g(μx)? 4
1. Random Walk: Consider a random walk described by the following probability rules: P(+x) 0.5; P...
1. Random Walk: Consider a random walk described by the following probability rules: P(+x) 0.5; P(-x) 0.1; P(ty) 0.2; P(-y) 0.2 (a) Is the walk biased? If so in which direction? Explain. (b) Compute the following for N steps if the step size is equal to a: <x>, <y>, <x>, <y (c) After long time (after large number of steps, where would the object be found? (find σ, and
1. Random Walk: Consider a random walk described by the following...
3 Probability and Statistics [10 pts] Consider a sample of data S obtained by flipping a...
3 Probability and Statistics [10 pts] Consider a sample of data S obtained by flipping a coin five times. X,,i e..,5) is a random variable that takes a value 0 when the outcome of coin flip i turned up heads, and 1 when it turned up tails. Assume that the outcome of each of the flips does not depend on the outcomes of any of the other flips. The sample obtained S - (Xi, X2,X3, X, Xs) (1, 1,0,1,0 (a)...
5 Consider a discrete random variable X with the probability mass function rp(x) Consider Y =...
5 Consider a discrete random variable X with the probability mass function rp(x) Consider Y = g( X ) =- 0.2 0.4 0.3 0.1 a) Find the probability distribution of Y. b Find the expected value of Y, E(Y). Does μ Y equal to g(Hy )? 4
1-D Random Walk: Consider a random walk described by the following probability rules: P(+x) = 0.5...
1-D Random Walk: Consider a random walk described by the following probability rules: P(+x) = 0.5; P(-x) = 0.1 ; P(ty) = 0.2; P(-y) = 0.2 (a) Is the walk biased? If so in which direction? Explain. (b) Compute the following for N steps if the step size is equal to a: <x, y>, <x>, <y'> (c) After long time (after large number of steps, where would the object be found? (find Ox, Ox I.
1-D Random Walk: Consider a...
a6 Foreign-language study. Choose a student in a U.S. 12. public high school at random and ask if he or she is studying a language other than English. Here is the distribution of results: Language Spanish French German All others None 12 Probability 0.30 0.08 0.02 0.03 (a) Explain why this is a legitimate probability model. (b) What is the probability that a randomly chosen student is studying a language other than English? (c) What is the probability that a...
5.Consider a discrete random variable X with the probability mass function xp(x) Consider Y-g(X) 0.2 0.4 0.3 0.1 a)Find the probability distribution of Y b) Find the expected value of Y, E(Y) Does μ Y equal to g(μx)? 4
1. Random Walk: Consider a random walk described by the following probability rules: P(+x) 0.5; P(-x) 0.1; P(ty) 0.2; P(-y) 0.2 (a) Is the walk biased? If so in which direction? Explain. (b) Compute the following for N steps if the step size is equal to a: <x>, <y>, <x>, <y (c) After long time (after large number of steps, where would the object be found? (find σ, and
1. Random Walk: Consider a random walk described by the following...
3 Probability and Statistics [10 pts] Consider a sample of data S obtained by flipping a coin five times. X,,i e..,5) is a random variable that takes a value 0 when the outcome of coin flip i turned up heads, and 1 when it turned up tails. Assume that the outcome of each of the flips does not depend on the outcomes of any of the other flips. The sample obtained S - (Xi, X2,X3, X, Xs) (1, 1,0,1,0 (a)...
5 Consider a discrete random variable X with the probability mass function rp(x) Consider Y = g( X ) =- 0.2 0.4 0.3 0.1 a) Find the probability distribution of Y. b Find the expected value of Y, E(Y). Does μ Y equal to g(Hy )? 4
1-D Random Walk: Consider a random walk described by the following probability rules: P(+x) = 0.5; P(-x) = 0.1 ; P(ty) = 0.2; P(-y) = 0.2 (a) Is the walk biased? If so in which direction? Explain. (b) Compute the following for N steps if the step size is equal to a: <x, y>, <x>, <y'> (c) After long time (after large number of steps, where would the object be found? (find Ox, Ox I.
1-D Random Walk: Consider a...
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