Three students answer a true-false question on a test randomly. A random variable x represents the...

Three students answer a true-false question on a test randomly. A random variable x represents the number of answers of true among the three students, taking on the value 0, 1, 2, or 3.

(a) Find the frequency distribution for x.
(b) Find the probability distribution for x.

For the same random variable x as the previous problem, find the following:

(a) The expected value (b) The variance (c) The standard deviation

Solutions

Expert Solution

milcah answered 1 year ago

Next > < Previous

Related Solutions

True or False: a.) In a statistical study, the random variable X = 1, if the...

True or False: a.) In a statistical study, the random variable X = 1, if the house is colonial and X = 0 if the house is not colonial, then it can be stated that the random variable is continuous. b.) For a continuous distribution, P(X ≤ 10) is the same as P(X<10). c.) For a continuous distribution, the exact probability of any particular value is always zero. d.) For a binomial probability experiment, with n = 60 and p...

Question:1 Let x be a random variable that represents the level of glucose in the blood...

Question:1 Let x be a random variable that represents the level of glucose in the blood (milligrams per deciliter of blood) after a 12 hour fast. Assume that for people under 50 years old, x has a distribution that is approximately normal, with mean μ = 67 and estimated standard deviation σ = 40. A test result x < 40 is an indication of severe excess insulin, and medication is usually prescribed. (a) What is the probability that, on a...

Question 1 Fifteen golfers are randomly selected. The random variable represents the number of golfers who...

Question 1 Fifteen golfers are randomly selected. The random variable represents the number of golfers who only play on the weekends. For this to be a binomial experiment, what assumption needs to be made? The probability of golfing on the weekend is the same for all golfers The probability of golfing during the week is the same for all golfers All fifteen golfers play during the week The probability of being selected is the same for...

Groups of adults are randomly selected and arranged in groups of three. The random variable x...

Groups of adults are randomly selected and arranged in groups of three. The random variable x is the number in the group who say that they would feel comfortable in a self-driving vehicle. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. x P(x) 0 0.367 1 0.428 2 0.180 3 0.025 Does the table show...

Answer each question by True or False. Justify your answer. (1) True or False? The set...

Answer each question by True or False. Justify your answer. (1) True or False? The set V = {p ∈ P2: p (7) = 0, p’ (7) = 0} is a subspace of P2. (2) True or False? The set of 2 by 2 matrices whose entries are either all 0 or all nonzero is a subspace of the set of all 2 by 2 matrices M2×2(R). (3) True or False? The set of all functions in C([0, 1]) such...

Development is described in three domains. Group of answer choices True False Flag this Question Question...

Development is described in three domains. Group of answer choices True False Flag this Question Question 23 pts The definition of child development is the change in the child that occurs over time. Changes follow an orderly pattern that moves towards greater complexity and enhances survival. Group of answer choices True False Flag this Question Question 33 pts Albert Bandura believed behaviors are inherently attained. Group of answer choices True False Flag this Question Question 43 pts Learning disabilities are...

Let x be a random variable that represents the level of glucose in the blood (milligrams...

Let x be a random variable that represents the level of glucose in the blood (milligrams per deciliter of blood) after a 12-hour fast. Assume that for people under 50 years old, x has a distribution that is approximately normal, with mean μ = 88 and estimated standard deviation σ = 28. A test result x < 40 is an indication of severe excess insulin, and medication is usually prescribed. (a) What is the probability that, on a single test,...

Let x be a random variable that represents the level of glucose in the blood (milligrams...

Let x be a random variable that represents the level of glucose in the blood (milligrams per deciliter of blood) after a 12 hour fast. Assume that for people under 50 years old, x has a distribution that is approximately normal, with mean μ = 96 and estimated standard deviation σ = 47. A test result x < 40 is an indication of severe excess insulin, and medication is usually prescribed. (a) What is the probability that, on a single...

Let x be a random variable that represents the level of glucose in the blood (milligrams...

Let x be a random variable that represents the level of glucose in the blood (milligrams per deciliter of blood) after a 12 hour fast. Assume that for people under 50 years old, x has a distribution that is approximately normal, with mean μ = 84 and estimated standard deviation σ = 29. A test result x < 40 is an indication of severe excess insulin, and medication is usually prescribed. (a) What is the probability that, on a single...

Let x be a random variable that represents the level of glucose in the blood (milligrams...

Let x be a random variable that represents the level of glucose in the blood (milligrams per deciliter of blood) after a 12 hour fast. Assume that for people under 50 years old, x has a distribution that is approximately normal, with mean μ = 60and estimated standard deviation σ = 32. A test result x < 40 is an indication of severe excess insulin, and medication is usually prescribed. (a) What is the probability that, on a single test,...

Subjects