Question

Let X be a normal random variable with mean 15 and standard deviation 5. (a) Calculate P (X> 12). (b) Calculate P (10 <X <25). (c) Find a value c such that P (c - X <= 2) = 0.5.

Name: let x be a normal random variable with mean 15 and standard deviation 5 a calculate p x 12 b calculate p 10 x 25 c find a value c such that p c x 2 05 01264
Uploaded: 2023-07-20T02:45:00-08:00
Duration: 1 min 35 s
Channel: Madhur L
Description: let x be a normal random variable with mean 15 and standard deviation 5 a calculate p x 12 b calculate p 10 x 25 c find a value c such that p c x 2 05 01264

          Let X be a normal random variable with mean 15 and standard deviation 5.
(a) Calculate P (X> 12).
(b) Calculate P (10 <X <25).
(c) Find a value c such that P (c - X <= 2) = 0.5.

Added by Ver-Nica R.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Madhur L

07/20/2023

Step 1

The z-score is given by: z = (X - μ) / σ where μ is the mean and σ is the standard deviation. Plugging in the values, we get: z = (12 - 15) / 5 = -3/5 = -0.6 Now, we need to find the probability P(Z > -0.6) using the standard normal table or a calculator. We Show more…

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Let X be a normal random variable with mean 15 and standard deviation 5. (a) Calculate P (X> 12). (b) Calculate P (10 <X <25). (c) Find a value c such that P (c - X <= 2) = 0.5.