# Question

A random sample of size n = 18 is taken from the distribution with pdf f(x) = 1 − x/2, 0 ≤ x ≤ 2.

(a) Find μ and σ2.

(b) Find P(2/3 ≤ X ≤ 5/6), approximately.

(a) Find μ and σ2.

(b) Find P(2/3 ≤ X ≤ 5/6), approximately.

## Answer to relevant Questions

Let X equal the weight in grams of a miniature candy bar. Assume that μ = E(X) = 24.43 and σ2 = Var(X) = 2.20. Let X be the sample mean of a random sample of n = 30 candy bars. Find (a) E(X). (b) Var(X). (c) P(24.17 ≤ ...Assume that the background noise X of a digital signal has a normal distribution with μ = 0 volts and σ = 0.5 volt. If we observe n = 100 independent measurements of this noise, what is the probability that at least 7 of ...Let be the mean of a random sample of size n = 15 from a distribution with mean μ = 80 and variance σ2 = 60. Use Chebyshev’s inequality to find a lower bound for P(75 < < 85). When you purchase “1-pound bags” of carrots, you can buy either “baby” carrots or regular carrots. We shall compare the weights of 75 bags of each of these types of carrots. The following table gives the weights of ...Let W1 < W2 < ··· < Wn be the order statistics of n independent observations from a U(0, 1) distribution. (a) Show that E(Wr2) = r(r + 1)/(n + 1)(n + 2), using a technique similar to that used in determining that E(Wr) = ...Post your question

0