Let X~ N (8 , 1.5), What is the probability associated with an outcome between (6.5,9.5)...
Let X~ N (8 , 1.5), What is the probability associated with an outcome between (6.5,9.5) ?
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Homework Answers
Solution: Here concept of obtaining probability from normal distribution is used.
Using Ti-84 calculator
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Let X~ N (8 , 1.5), What is the probability associated with an
outcome between (6.5,9.5)...
Consider a random experiment that has as an outcome the number x. Let the associated variable be X, with true (population) and unknown probability density function fx(x), mean ux. and variance σχ2. A...
Consider a random experiment that has as an outcome the number x. Let the associated variable be X, with true (population) and unknown probability density function fx(x), mean ux. and variance σχ2. Assume that n-2 independent, repeated trials of the random experiment are performed, resulting in the 2-sample of numerical outcomes xi and x2 Let estimate μ X of true mean #xbe μχ = (x1+x2)/2. Then the random variable associated with estimate μ xis estimator random 1. a. Show the...
1. Consider a random experiment that has as an outcome the number x. Let the associated random variable be X, with true (population) and unknown probability density function fx(x), mean ux, and varia...
1. Consider a random experiment that has as an outcome the number x. Let the associated random variable be X, with true (population) and unknown probability density function fx(x), mean ux, and variance σχ2. Assume that n 2 independent, repeated trials of the random experiment are performed, resulting in the 2-sample of numerical outcomes x] and x2. Let estimate f x of true mean ux be μΧ-(X1 + x2)/2. Then the random variable associated with estimate Axis estimator Ax- (XI...
Let X equal the larger outcome when a pair of 6-sided dice are rolled.
Let X equal the larger outcome when a pair of 6-sided dice are rolled.(a) Assuming the two dice are independent, show that the probability function of \(X\) is \(f(x)=\frac{2 x-1}{36} \quad x=1, \ldots, 6\)(b) Confirm that \(f(x)\) is a probability function.(c) Find the mean of \(X\).(d) Can you generalise \(E(X)\) to a pair of fair \(m\) -sided dice?\(\left[\right.\) Hint: recall that \(\sum_{i=1}^{n} i=n(n+1) / 2\) and \(\left.\sum_{i=1}^{n} i^{2}=n(n+1)(2 n+1) / 6\right]\)
Below, n is the sample size, p is the population proportion of successes, and X is...
Below, n is the sample size, p is the population proportion of successes, and X is the number of successes in the sample. Use the normal approximation and the TI-84 Plus calculator to find the probability. Round the answer to at least four decimal places. ol. F loa n=88, p=0.49 P(x>36)
If continuous random variable X~ N(6,4), compute 1) Probability P(X>6.) 2) Probability P(3.<X<7.) 3) Probability P(-1.5...
If continuous random variable X~ N(6,4), compute 1) Probability P(X>6.) 2) Probability P(3.<X<7.) 3) Probability P(-1.5 <X<2.5) 4) Probability P(-2.<X – 2<5.) Show your explanations. Displaying only the final answer is not enough to get credit. Note: round calculated numerical values to the fourth decimal place where applicable.
8) Let x є { 1, 2, 3, 4, 5, 6} be the outcome of throwing...
8) Let x є { 1, 2, 3, 4, 5, 6} be the outcome of throwing a fair dice. We place two equal weights on the sides 5 and 6 and for our probability law we have the relation P5 or 6)-3P 1 or x-2 or x 3 or x-4) Compute P(z-j) for j є { 1, 2, 3, 4, 5, 6, }
The following is a binomial probability distribution with n = 3 and TI = 0.20. X...
The following is a binomial probability distribution with n = 3 and TI = 0.20. X 0 P(x) 0.512 0.384 0.096 0.008 The mean of the distribution is 1.5 0.6 0.25
Find the probability that the person is between 65 and 68 inches. P (65 < X...
Find the probability that the person is between 65 and 68 inches. P (65 < X < 68) What is the probability? (Round your answer to four decimal places.) Please break this down. I don't know how to figure out P(65-66/205 <x< 68-66/2.5)= P (-0.4 <x< 0.8)=???? How do I finish doing this?? I need to know how without using a z-table. I have a TI 84. Thanks.
8. Let Maxn denote the vector space of all n x n matrices. a. Let S...
8. Let Maxn denote the vector space of all n x n matrices. a. Let S C Max denote the set of symmetric matrices (those satisfying AT = A). Show that S is a subspace of Mx. What is its dimension? b. Let KC Maxn denote the set of skew-symmetric matrices (those satisfying A' = -A). Show that K is a subspace of Max. What is its dimension?
Let descrete random variable X ~ Poisson(7). Find: 1) Probability P(X = 8) 2) Probability P(X...
Let descrete random variable X ~ Poisson(7). Find: 1) Probability P(X = 8) 2) Probability P(X = 3) 3) Probability P(X<4) 4) Probability P(X> 7) 5) ux 6) 0x Show your explanations. Displaying only the final answer is not enough to get credit. Note: round calculated numerical values to the fourth decimal place where applicable.
Consider a random experiment that has as an outcome the number x. Let the associated variable be X, with true (population) and unknown probability density function fx(x), mean ux. and variance σχ2. Assume that n-2 independent, repeated trials of the random experiment are performed, resulting in the 2-sample of numerical outcomes xi and x2 Let estimate μ X of true mean #xbe μχ = (x1+x2)/2. Then the random variable associated with estimate μ xis estimator random 1. a. Show the...
1. Consider a random experiment that has as an outcome the number x. Let the associated random variable be X, with true (population) and unknown probability density function fx(x), mean ux, and variance σχ2. Assume that n 2 independent, repeated trials of the random experiment are performed, resulting in the 2-sample of numerical outcomes x] and x2. Let estimate f x of true mean ux be μΧ-(X1 + x2)/2. Then the random variable associated with estimate Axis estimator Ax- (XI...
Below, n is the sample size, p is the population proportion of successes, and X is the number of successes in the sample. Use the normal approximation and the TI-84 Plus calculator to find the probability. Round the answer to at least four decimal places. ol. F loa n=88, p=0.49 P(x>36)
If continuous random variable X~ N(6,4), compute 1) Probability P(X>6.) 2) Probability P(3.<X<7.) 3) Probability P(-1.5 <X<2.5) 4) Probability P(-2.<X – 2<5.) Show your explanations. Displaying only the final answer is not enough to get credit. Note: round calculated numerical values to the fourth decimal place where applicable.
8) Let x є { 1, 2, 3, 4, 5, 6} be the outcome of throwing a fair dice. We place two equal weights on the sides 5 and 6 and for our probability law we have the relation P5 or 6)-3P 1 or x-2 or x 3 or x-4) Compute P(z-j) for j є { 1, 2, 3, 4, 5, 6, }
The following is a binomial probability distribution with n = 3 and TI = 0.20. X 0 P(x) 0.512 0.384 0.096 0.008 The mean of the distribution is 1.5 0.6 0.25
8. Let Maxn denote the vector space of all n x n matrices. a. Let S C Max denote the set of symmetric matrices (those satisfying AT = A). Show that S is a subspace of Mx. What is its dimension? b. Let KC Maxn denote the set of skew-symmetric matrices (those satisfying A' = -A). Show that K is a subspace of Max. What is its dimension?
Let descrete random variable X ~ Poisson(7). Find: 1) Probability P(X = 8) 2) Probability P(X = 3) 3) Probability P(X<4) 4) Probability P(X> 7) 5) ux 6) 0x Show your explanations. Displaying only the final answer is not enough to get credit. Note: round calculated numerical values to the fourth decimal place where applicable.
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