Question

Assume that X is normally distributed with a mean of 10 and a standard deviation of 2. Determine the following and also sketch a graph for EACH one: (a) P(Z < 13) (b) P(Z > 9) (c) P(6 < X < 14) (d) P(2 < X < 4) (e) P(-2 < X < 8)

Name: assume that x is normally distributed with a mean of 10 and a standard deviation of 2 determine the following and also sketch a graph for each one a pz13 b pz9 c p6x14 d p2x4 e p2x8 26855
Uploaded: 2023-08-08T02:10:08-08:00
Duration: 4 min 11 s
Channel: Clarissa Barr
Description: assume that x is normally distributed with a mean of 10 and a standard deviation of 2 determine the following and also sketch a graph for each one a pz13 b pz9 c p6x14 d p2x4 e p2x8 26855

          Assume that X is normally distributed with a mean of 10 and a standard deviation of 2. Determine the following and also sketch a graph for EACH one:
(a) P(Z < 13)
(b) P(Z > 9)
(c) P(6 < X < 14)
(d) P(2 < X < 4)
(e) P(-2 < X < 8)

Added by Selena W.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Clarissa Barr

08/08/2023

Step 1

(a) P(Z < 13) Z = (13 - 10) / 2 = 1.5 So, P(Z < 1.5) = 0.9332 (from the Z-table) (b) P(Z > 9) Z = (9 - 10) / 2 = -0.5 So, P(Z > -0.5) = 1 - P(Z < -0.5) = 1 - 0.3085 = 0.6915 (c) P(6 < X < 14) Z1 = (6 - 10) / 2 = -2 Z2 = (14 - 10) / 2 = 2 So, P(-2 < Z < 2) = P(Z Show more…

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Assume that X is normally distributed with a mean of 10 and a standard deviation of 2. Determine the following and also sketch a graph for EACH one: (a) P(Z < 13) (b) P(Z > 9) (c) P(6 < X < 14) (d) P(2 < X < 4) (e) P(-2 < X < 8)