Suppose X ∼ N(μ = 1,σ = 2). Find (a) P(X < 1.37) (b) P(X >...

Question

Question

math Statistics-And-Probability

Answer 1

Answer #1

Pls Upvote...!!!

Answer 2

Similar Homework Help Questions

Let μ=E(X), σ=stanard deviation of X. Find the probability P(μ-σ ≤ X ≤ μ+σ) if X...

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.
Question 2 (a) Suppose X ∼ N(μ, σ) and Z ∼ N(0, 1). The moment generating...

Question 2 (a) Suppose X ∼ N(μ, σ) and Z ∼ N(0, 1). The moment generating function (m.g.f) of X is given by e^ut+1/2t^2σ^2 (i) What is the m.g.f of Z. [2 Marks] (ii) If Y = cZ +d, where c and d are constant, find the m.g.f of Y and hence the distribution of Y. [4 Marks] (b) Suppose a random variable X follows a geometric distribution with pmf p(x) = p(1−p)^(x−1), x = 1, 2, 3, ..., find...
1.Suppose X~N(μ=3,σ=7). Find P(X> -2). Round you answer to 3 decimal places. Group of answer choices...

1.Suppose X~N(μ=3,σ=7). Find P(X> -2). Round you answer to 3 decimal places. Group of answer choices 0.099 0.076 0.001 0.990 0.762 2. Suppose X~N(μ=7.3,σ=3.2). Find P(X< -1). Round you answer to 3 decimal places. Group of answer choices 0.283 0.005 0.050 0.771 0.950 3. Suppose X~N(μ=1,σ=2). Find a number k such that P(X<k)=0.633. Round you answer to 3 decimal places. Group of answer choices 1.680 0.573 0.032 0.320 0.427 4.Suppose X~N(μ=2,σ=5). Find a number k such that P(X>k)=0.642. Round you...

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(1...

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 is a normal random variable with μ = 35 and σ = 10. Find...

Suppose X is a normal random variable with μ = 35 and σ = 10. Find P(13.7 < X < 30.7). a) 0.3170 b) 0.3267 c) 0.3157 d) 0.6375 e) 0.3280 f) None of the above.
3. Let Xi, , Xn be i.i.d. Lognormal(μ, σ2) (a) Suppose σ-1, prove that S-X(n)/X(i) is an ancillar...

3. Let Xi, , Xn be i.i.d. Lognormal(μ, σ2) (a) Suppose σ-1, prove that S-X(n)/X(i) is an ancillary statistics. (b) Suppose p 0, prove T-X(n) is a sufficient and complete statistics (c) Find a minimal sufficient statistics. 3. Let Xi, , Xn be i.i.d. Lognormal(μ, σ2) (a) Suppose σ-1, prove that S-X(n)/X(i) is an ancillary statistics. (b) Suppose p 0, prove T-X(n) is a sufficient and complete statistics (c) Find a minimal sufficient statistics.

If X ~ N ( μ,σ^2) What is the range of X for the given Normal...

If X ~ N ( μ,σ^2) What is the range of X for the given Normal distribution?A) (0, 1, 2,…n) B) (-1,1) C) (-∞,∞) D) (1, 2, 3,…n) What is the mean of X for the given Normal distribution? A) μσ B) σ^2 C) μ σ^2 D) π What is the variance of X for the given Normal distribution? A) σ^2 B) σ C) μ D) π σ^2 What do you think will be a suitable expression for the standard...
Find P(x>120) P(x>120) provided that it is known that μ=95 μ=95 and σ=14 σ=14 . Assume...

Find P(x>120) P(x>120) provided that it is known that μ=95 μ=95 and σ=14 σ=14 . Assume that the distribution is approximately normal. Select one: a. 0.7852 b. 0.0367 c. 0.9633 d. 1.7936
Question 3. Confidence Let X, be identically and in ance σ = 0.2. Suppose 16 samples are taken and 3.3 is its sample mean. Find the following probabilities (a) p (F-1 1.59%) (b) Suppose now N samples...

Question 3. Confidence Let X, be identically and in ance σ = 0.2. Suppose 16 samples are taken and 3.3 is its sample mean. Find the following probabilities (a) p (F-1 1.59%) (b) Suppose now N samples are taken and P H1.57 is its sample mean. Determine the probability that the distance between and μ is at most 1.8 Question 3. Confidence Let X, be identically and in ance σ = 0.2. Suppose 16 samples are taken and 3.3 is...

Suppose x has a distribution with μ = 40 and σ = 19. Find P(36 ≤...

Suppose x has a distribution with μ = 40 and σ = 19. Find P(36 ≤ x ≤ 41).