A population has a mean μ-85 and a standard deviation σ-21. Find the mean and standard deviation of a sampling distribution of sample means with sample size n 49 H(Simplity your answer) o-# L] (Simplify your answer.) to the random variable x is normally distributed with mean-83 and standard deviation ơ-4 Find the indicated probability P(70sx 76) P(70 < x < 76)= Round to four decimal places as needed.) Enter your answer in the answer box
Suppose x is a random variable best described by a uniform probability distrbution with c 10 and d 15. Complete parts a through f f(x)10 sxs 15 (Simplify your answers) b. Find the mean and standard deviation of x The mean is 125 Simplify your answer) The standard deviation is (Round to three decimal places as needed) P(u _ σ s x s μ + σ)-[ ] (Round to four decimal places as needed ) d. Find P(x> 12.01) P...
Let P(x)--x!--and let μ = 5, Find P(4). P(4)(Round to four decimal places as needed.) Enter your answer in the answer box.
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 ≤...
Find u if p = [x•P(x)]. Then, find o if o2 = {[x• P(x)] –H2 X P(x) 0 0.0005 1 0.0091 2 0.0648 3 0.2297 4 0.4072 5 0.2887 (Simplify your answer. Round to four decimal places as needed.) O= (Simplify your answer. Round to four decimal places as needed.)
Find u if = [P(x)]. Then, find o if o2 = {[x? •P(x)] -? X L P(x) 0 0.4704 1 0.3829 2 0.1247 3 0.0203 4 5 0.00170.0000 (Simplify your answer. Round to four decimal places as needed.) (Simplify your answer. Round to four decimal places as needed.)
A population is normally distributed with μ = 200 and σ = 20. a. Find the probability that a value randomly selected from this population will have a value greater than 250. P(x > 250) = ______ . (Round to four decimal places as needed.) b. Find the probability that a value randomly selected from this population will have a value less than 185. P(x < 185) = ______ . (Round to four decimal places as needed.) c. Find the...
A population is normally distributed with μ = 200 and σ = 20. a. Find the probability that a value randomly selected from this population will have a value greater than 250. P(x > 250) = ______ . (Round to four decimal places as needed.) b. Find the probability that a value randomly selected from this population will have a value less than 185. P(x < 185) = ______ . (Round to four decimal places as needed.) c. Find the...
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 ≤...
Please explain very carefully!
4. Suppose that x = (x1, r.) is a sample from a N(μ, σ2) distribution where μ E R, σ2 > 0 are unknown. (a) (5 marks) Let μ+σ~p denote the p-th quantile of the N(μ, σ*) distribution. What does this mean? (b) (10 marks) Determine a UMVU estimate of,1+ ơZp and justify your answer.
4. Suppose that x = (x1, r.) is a sample from a N(μ, σ2) distribution where μ E R, σ2 >...