Probability Question
One out of four investors have ETFs in their portfolios. Consider a sample of twenty investors. [Hint: why is it that the random variable X∼Bi(n, p)?]
a. Compute the probability that exactly 2 investors have ETFs in their portfolios. .
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In a random sample of 10 couples who plan to marry, find the probability of the following
Twenty-six percent of couples who plan to marry this year are planning destination weddings. Assume the variable is binomial. In a random sample of 10 couples who plan to marry, find the probability of the following. Round the answers to four decimal places. Source: Time magazine. Exactly 5 couples will have a destination wedding P (exactly 5 couples will have a destination wedding) = _______
Consider the population of all 1-gallon cans of dusty rose paint manufactured by a particular paint...
Consider the population of all 1-gallon cans of dusty rose paint manufactured by a particular paint company. Suppose that a normal distribution with mean μ = 6 ml and standard deviation σ = 0.2 ml is a reasonable model for the distribution of the variable x = amount of red dye in the paint mixture. Use the normal distribution model to calculate the following probabilities. (Round your answers to four decimal places.) (b) P(x < 6.2)= (d) P(5.6 < x...
Assume the variable is binomial. In a random sample of 11 couples who plan to marry, find the probability of the following.
Twenty-six percent of couples who plan to marry this year are planning destination weddings. Assume the variable is binomial. In a random sample of 11 couples who plan to marry, find the probability of the following. Round the answers to four decimal places.Source: Time magazine.Part 1At least 6 couples will have a destination weddingP (at least 6 couples will have a destination wedding) =.0412Part 2 out of 3Fewer than 5 couples will have a destination weddingP (fewer than 5 couples...
Assume the variable is binomial. In a random sample of 12 couples who plan to marry, find the probability of the following
Twenty-six percent of couples who plan to marry this year are planning destination weddings. Assume the variable is binomial. In a random sample of 12 couples who plan to marry, find the probability of the following. Round the answers to four decimal places.Source: Time magazine.Part 1 out of 3Fewer than 6 couples will have a destination weddingP (fewer than 6 couples will have a destination wedding) =
Let f [n]n] be a permutation. A fixed point of f is an element x e [n] such that f(x)-x. Now cons...
Let f [n]n] be a permutation. A fixed point of f is an element x e [n] such that f(x)-x. Now consider random permutations of [n] and let X be the random variable which represents the number of fixed points of a given permutation. (a) What is the probability that X 0? (b) What is the probability that X 2? (c) What is the probability that X--1? (d) What is the expectation of X? (Hint: As usual, express X as...
Suppose that the probability that the train travelling from Holland, Michigan to Chicago, Mlinois arrives on...
Suppose that the probability that the train travelling from Holland, Michigan to Chicago, Mlinois arrives on time is 0.80. For the questions that follow, consider a sample of twenty randomly selected train trips. 11) (2 points) What is the probability that exactly fifteen trips out of twenty will arrive in Chicago on time? Round to the nearest thousandth. 12) (2 points) What is the probability that at least nineteen trips out of twenty arrive to Chicago on time? Round te...
(1) Let f : [n] [n] be a permutation. A fixed point of f is an element x e [n] such that f(x) - x...
(1) Let f : [n] [n] be a permutation. A fixed point of f is an element x e [n] such that f(x) - x. Now consider random permutations of [n] and let X be the random variable which represents the number of fixed points of a given permutation. (a) What is the probability that X 0? (b) What is the probability that X-n -2? (c) What is the probability that X-n-1? (d) What is the expectation of X? (Hint:...
Students must show work to receive full credit. 1. Differentiate “Empirical Probability” and “Classical Probability”. 2....
Students must show work to receive full credit. 1. Differentiate “Empirical Probability” and “Classical Probability”. 2. Define “Independent Events”, “Mutually Exclusive Events”, and “Collectively Exhaustive Events”. 3. Suppose there are 15 red marbles and 5 blue marbles in a box. (3.a) If an individual randomly selects two marbles without replacement, what is the probability that both marbles are red? (3.b) If an individual randomly selects two marbles with replacement, what is the probability that both marbles are red? 4. Solve...
Question 2E Page >of 3 What Is the probability that the Aurora Borealis can be seen...
Question 2E
Page >of 3 What Is the probability that the Aurora Borealis can be seen every day of this week a (b) What is the probability that the Aurora Borealis can be seen at least one day in this week? (c) What is the probability that the Aurora Borealis can be seen less than two days this week? (d) Find the mean, variance, and standard deviation for the number of days that the Aurora Borealis can be seen during...
with ?-23 and ? " 15. (a) If a random sample of size n-32 is drawn,...
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Let f [n]n] be a permutation. A fixed point of f is an element x e [n] such that f(x)-x. Now consider random permutations of [n] and let X be the random variable which represents the number of fixed points of a given permutation. (a) What is the probability that X 0? (b) What is the probability that X 2? (c) What is the probability that X--1? (d) What is the expectation of X? (Hint: As usual, express X as...
Suppose that the probability that the train travelling from Holland, Michigan to Chicago, Mlinois arrives on time is 0.80. For the questions that follow, consider a sample of twenty randomly selected train trips. 11) (2 points) What is the probability that exactly fifteen trips out of twenty will arrive in Chicago on time? Round to the nearest thousandth. 12) (2 points) What is the probability that at least nineteen trips out of twenty arrive to Chicago on time? Round te...
(1) Let f : [n] [n] be a permutation. A fixed point of f is an element x e [n] such that f(x) - x. Now consider random permutations of [n] and let X be the random variable which represents the number of fixed points of a given permutation. (a) What is the probability that X 0? (b) What is the probability that X-n -2? (c) What is the probability that X-n-1? (d) What is the expectation of X? (Hint:...
Question 2E
Page >of 3 What Is the probability that the Aurora Borealis can be seen every day of this week a (b) What is the probability that the Aurora Borealis can be seen at least one day in this week? (c) What is the probability that the Aurora Borealis can be seen less than two days this week? (d) Find the mean, variance, and standard deviation for the number of days that the Aurora Borealis can be seen during...
with ?-23 and ? " 15. (a) If a random sample of size n-32 is drawn, find AG, ?i and P 23 S x s 25). (Round to two decimal places and the probability to four decimal places.) P(23 s x s 25) (b) If a random sample of size n-60 is drawn, rind Min ?i and ,r23 s x s 25). (Round ?? to two decimal places and the probability to four decimal places.) P(23 s x s 25)...
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