Question

The random variable X is normally distributed. Also, it is known that P(X>150) = 0.4840. 1. Find the population mean ? if the population standard deviation ? = 15 2. Find the population ? of the population standard deviation ? = 25. 3. Find the population stand deviation ? if the population mean ? = 136

          The random variable X is normally distributed.
Also, it is known that P(X>150) = 0.4840.
1. Find the population mean ? if the
population standard deviation ? = 15
2. Find the population ? of the population
standard deviation ? = 25.
3. Find the population stand deviation ? if the
population mean ? = 136

The random variable X is normally distributed.
Also, it is known that P(X>150) = 0.4840.
1. Find the population mean ? if the
population standard deviation ? = 15
2. Find the population ? of the population
standard deviation ? = 25.
3. Find the population stand deviation ? if the
population mean ? = 136

Added by Ariana R.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Adi S

06/18/2023

Step 1

To find the population mean, we can use the z-score formula: z = (X - μ) / σ We know that P(X > 150) = 0.4840, which means the z-score corresponding to this probability is 0.05 (since 0.5 - 0.4840 = 0.0160, and the z-score for 0.0160 is approximately 0.05). We Show more…

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The random variable X is normally distributed. Also, it is known that P(X>150) = 0.4840. 1. Find the population mean μ if the population standard deviation σ = 15 2. Find the population μ of the population standard deviation σ = 25. 3. Find the population stand deviation σ if the population mean μ = 136