Question

Compute the following probabilities (a) Find P (X ≥ 3) if X ∼ N (1, 4). (b) Find P (40 < X < 52) if X ∼ N (50, 25). 2 (c) If X ∼ N (1, 4), Find value of X such that 5% of all the X values are below this value. (d) Find P (101 < ̄X < 103) for samples of size n=100 when if X ∼ N (100, 43).

Name: compute the following probabilities a find p x 3 if x n 1 4 b find p 40 x 52 if x n 50 25 2 c if x n 1 4 find value of x such that 5 of all the x values are below this value d find p 101 x 1 93786
Uploaded: 2024-03-28T12:15:43-08:00
Duration: 2 min
Channel: Pritesh Ranjan
Description: compute the following probabilities a find p x 3 if x n 1 4 b find p 40 x 52 if x n 50 25 2 c if x n 1 4 find value of x such that 5 of all the x values are below this value d find p 101 x 1 93786

          Compute the following probabilities
(a) Find P (X ≥ 3) if X ∼ N (1, 4).
(b) Find P (40 < X < 52) if X ∼ N (50, 25).
2
(c) If X ∼ N (1, 4), Find value of X such that 5% of all the X values are
below this value.
(d) Find P (101 < ̄X < 103) for samples of size n=100 when if X ∼
N (100, 43).

Added by Michelle L.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Pritesh Ranjan

03/28/2024

Step 1

Compute P(X ≥ 3) = P(Z ≥ (3 − 1)/2) = P(Z ≥ 1) where Z ~ N(0,1). P(Z ≥ 1) = 1 − Φ(1) ≈ 0.1587. Show more…

Show all steps

Thanks for your feedback!

Compute the following probabilities (a) Find P (X ≥ 3) if X ∼ N (1, 4). (b) Find P (40 < X < 52) if X ∼ N (50, 25). 2 (c) If X ∼ N (1, 4), Find value of X such that 5% of all the X values are below this value. (d) Find P (101 < ̄X < 103) for samples of size n=100 when if X ∼ N (100, 43).