. Let x be the binomial random variable with n = 10 and p = .9...

Question

Question

. Let x be the binomial random variable with n = 10 and p = .9

a. Does the Empirical rule work on this distribution for data that is within one, two or three standard deviations of the mean? Explain.

b. Does Tchebysheff’s theorem work on this distribution for data that is within 1, 1.5, 2 or 4 standard deviations of the mean? Explain.

Answer 1

Answer #1

Solution :- Given n=101 P=0.9 aq=1-P=1-0.9=01 U= np=10X0.959 ronpa Vioxoxote 0-9486 a) Yes, Empherical sale tworky on it q+ 1

Answer 2

Similar Homework Help Questions

Let x be the binomial random variable with n=10 and p = 9 a. Find P(x...

Let x be the binomial random variable with n=10 and p = 9 a. Find P(x = 8) and create a cumulative probability table for the distribution. b. Find P( x is less than or equal to 7) and P(x is greater than 7) c. Find the mean, u, the standard deviation, o, and the variance. d. Does the Empirical rule work on this distribution for data that is within one, two or three standard deviations of the mean? Explain....
) 6. Let x be the binomial random variable with n = 10 and p =...

) 6. Let x be the binomial random variable with n = 10 and p = .9 (2) a. Find P(x = 8) (5) b. Create a cumulative probability table for the distribution. (2) c. Find P( x is less than or equal to 7) (2) d. Find P(x is greater than 7) e. Find the mean, μ. (1) f. Find the standard deviation, σ. (1) g. Find the variance. ...
Let x be a binomial random variable with n = 20 and p = 0.05. Calculate...

Let x be a binomial random variable with n = 20 and p = 0.05. Calculate p(0) and p(1) using Table 1 to obtain the exact binomial probability. (Round your answers to three decimal places.) p(0) = p(1) = Calculate p(0) and p(1) using the Poisson approximation. (Round your answer to three decimal places.) p(0) = p(1) = Compare your results. Is the approximation accurate? No the approximation is not accurate. At least one the differences between the probabilities from...

Let X be a binomial random variable with n = 5 and p = 0.30 Use...

Let X be a binomial random variable with n = 5 and p = 0.30 Use the Binomial Tables to obtain the correct probability distribution Find each probability. 1) P(X = 5) 2) P(X ?= 1)
Suppose X is a binomial random variable, where n=70, p= 0.8 Given that the distribution of...

Suppose X is a binomial random variable, where n=70, p= 0.8 Given that the distribution of X is symmetric, any observation that lies more than two standard deviations from the mean would be considered unusual. Therefore, usual observations would fall outside of the range: a) [ 50.643, 54.982 ] b) [ 49.306, 62.696 ] c) [ 45.265, 66.432 ] d) [ 52.653, 59.347 ]
Let X be a binomial random variable with n = 15 and p = 0.6. Calculate...

Let X be a binomial random variable with n = 15 and p = 0.6. Calculate the following two probabilities, using an appropriate approximation method: • P(X = 4) • P(7 ≤ X < 10)

Let X be a binomial random variable with n = 6, p = 0.4. Find the...

Let X be a binomial random variable with n = 6, p = 0.4. Find the following values. (Round your answers to three decimal places.) (a) PCX = 4) (b) PIX S1 (c) PCX > 1) (d) 4 = 0 = o v npg Need Help? Read It 5. (-/6 Points) DETAILS MENDSTATC4 5.1.011 Let X be a binomial random variable with n = 10 and p = 0.3. Find the following values. (Round your answers to three decimal places.)...
Let X be a binomial random variable with p 0.3 and n 10. Calculate the following...

Let X be a binomial random variable with p 0.3 and n 10. Calculate the following probabilities from the binomial probability mass function. Round your answers to four decimal places (e.g. 98.7654). P(X> 8)
Let x be a random variable from a binomial distribution with n = 40 and p...

Let x be a random variable from a binomial distribution with n = 40 and p = 0.9. If a normal approximation is appropriate, give the distribution of x' that would be used in the approximation. a) x' ~ N(40, 0.92) b) x' ~ N(36, 3.62) c) x' ~ N(36, 1.92) d) normal approximation is not appropriate

Let N be a binomial random variable with p = 0.2 and n = 10. We...

Let N be a binomial random variable with p = 0.2 and n = 10. We roll a fair die N times, let X be the number of times we roll the number 1. Find the joint probability mass function of N and X.