Question

In: Math

using chebyshev's inequality, the probability that a random variable will be within 2 standard deviations of...

using chebyshev's inequality, the probability that a random variable will be within 2 standard deviations of its own mean the least?

Solutions

Expert Solution

P(within 2 standard deviations) = 1 - 1/22 = 0.75 (ans)

                                                                                                                                                                                                                                                                                                                                                           


Related Solutions

What is the probability that a normal random variable with mean 2 and standard deviation 4...
What is the probability that a normal random variable with mean 2 and standard deviation 4 will be less than 3?
1. The empirical rule says that 95% of the population is within 2 standard deviations of...
1. The empirical rule says that 95% of the population is within 2 standard deviations of the mean, but when I find the z-scores that mark off the middle 95% of the standard normal distribution I calculate -1.96 and 1.96. Is this a contradiction? Why or why not? In other words why are the normal distribution calculators not agreeing with the empirical rule? [2 sentences] 2. Answer the following: What is a sampling distribution? [2 sentences] What is the Central...
3. A) Given that z is a standard normal random variable, compute the probability that it...
3. A) Given that z is a standard normal random variable, compute the probability that it takes on a value between -2 and -1. 3. B). Given that z is a standard normal random variable, find the z-score for a situation where the area to the right of z is 0.0901.
Find the value of the probability of the standard normal random variable Z corresponding to this...
Find the value of the probability of the standard normal random variable Z corresponding to this area. (Round your answer to four decimal places.) P(−1.68 < Z < 1.23) =?
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 between -2 and -1.
Calculate the probability For the standard normal distribution random variable Z using Excel formulae/functions. P (Z...
Calculate the probability For the standard normal distribution random variable Z using Excel formulae/functions. P (Z ≤ 2) P (-1.63 < Z ≤ 1.95) P (-1 < Z < 1) P (Z ≤ -0.69) P (0.85 < Z ≤ 2.23) P (Z > 3)
Find the probability that the Normal random variable with mean 20 and standard deviation 3.2 will...
Find the probability that the Normal random variable with mean 20 and standard deviation 3.2 will generate an outlier (outside the inner fences) observation. Remember that the lower (upper) inner fence is 1.5*IQR below (above) the first (third) quartile. a. 0.0035          b. 0.0051          c. 0.0058          d. 0.0062          e. 0.0070
a) Let z be a random variable with a standard normal distribution. Find the indicated probability....
a) Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(−2.02 ≤ z ≤ −0.31) = Shade the corresponding area under the standard normal curve. b) Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 50; σ = 15 P(40 ≤ x ≤ 47) = c) Find z such...
A: Let z be a random variable with a standard normal distribution. Find the indicated probability....
A: Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(z ≤ 1.23) = B: Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(z ≥ −1.13) = C: Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(−1.87 ≤ z...
Find the following probability for a standard normal random variable, P(Z ≥ -2.16 )
Find the following probability for a standard normal random variable, P(Z ≥ -2.16 )
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT