Let μ=E(X), σ=stanard deviation of X. Find the probability P(μ-σ ≤ X ≤ μ+σ) if X has... (Round all your answers to 4 decimal places.)
a. ... a Binomial distribution with n=23 and p=1/10
b. ... a Geometric distribution with p = 0.19.
c. ... a Poisson distribution with λ = 6.8.
Let μ=E(X), σ=stanard deviation of X. Find the probability P(μ-σ ≤ X ≤ μ+σ) if X...
Find the expected value, μ, and standard deviation, σ, for a binomial random variable with each of the following values of n and p. (Round all answers for σ to four decimal places.) (a) n = 50, p = 1/2. μ = σ = (b) n = 300, p = 1/4. μ = σ = (c) n = 1000, p = 1/5. μ = σ = (d) n = 1, p = 0.3. μ = σ = (e) n =...
1. Given that x has a Poisson distribution with μ=4, what is the probability that x=6? Round to four decimals. 2. Assume the Poisson distribution applies. Use the given mean to find the indicated probability. Find P(4) when μ=7. Round to the nearest thousandth. 3. Given that x has a Poisson distribution with μ=0.4, what is the probability that x=4? Round to the nearest thousandth. 4. Describe the difference between the value of x in a binomial distribution and in...
Suppose x has a distribution with μ = 10 and σ = 2. (a) If a random sample of size n = 39 is drawn, find μx, σ x and P(10 ≤ x ≤ 12). (Round σx to two decimal places and the probability to four decimal places.) μx = σ x = P(10 ≤ x ≤ 12) = (b) If a random sample of size n = 56 is drawn, find μx, σ x and P(10 ≤ x ≤...
Suppose x has a distribution with μ = 10 and σ = 7. (a) If a random sample of size n = 40 is drawn, find μx, σ x and P(10 ≤ x ≤ 12). (Round σx to two decimal places and the probability to four decimal places.) μx = σx = P(10 ≤ x ≤ 12) = (b) If a random sample of size n = 63 is drawn, find μx, σ x and P(10 ≤ x ≤ 12)....
Suppose x has a distribution with μ = 10 and σ = 9. (a) If a random sample of size n = 35 is drawn, find μx, σ x and P(10 ≤ x ≤ 12). (Round σx to two decimal places and the probability to four decimal places.) μx = σ x = P(10 ≤ x ≤ 12) = (b) If a random sample of size n = 60 is drawn, find μx, σ x and P(10 ≤ x ≤...
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 = 8; σ = 2 P(7 ≤ x ≤ 11) = 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 = 6.0; σ = 1.4 P(7 ≤ x ≤ 9) = Assume that x has a normal...
Let X be normally distributed with mean μ = 13 and standard deviation σ = 4. a. Find P(X ≤ 2). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) b. Find P(X > 4). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) c. Find P(7 ≤ X ≤ 12). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) d. Find P(10 ≤ X...
a. Consider a normal distribution with mean 20 and standard deviation 4. What is the probability a value selected at random from this distribution is greater than 20? (Round your answer to two decimal places. 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 = 14.3; σ = 3.5 P(10 ≤ x ≤ 26) = c. Assume that x has a normal...
Let X be normally distributed with mean μ = 22 and standard deviation σ = 16. [You may find it useful to reference the z table.] a. Find P(X ≤ 2). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) b. Find P(X > 6). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) c. Find P(2 ≤ X ≤ 26). (Round "z" value to 2 decimal places and final...
Suppose x has a distribution with μ = 13 and σ = 6. (a) If a random sample of size n = 35 is drawn, find μx, σ x and P(13 ≤ x ≤ 15). (Round σx to two decimal places and the probability to four decimal places.) μx = σx = P(13 ≤ x ≤ 15) = (b) If a random sample of size n = 61 is drawn, find μx, σ x and P(13 ≤ x ≤ 15)....