Asked Feb 27, 2020

It is known that the length of a certain product X is normally distributed with U=26 inches. How is the Probability P(X>22) related to P(X<22)?


Mulitple choice:

1. P(X>22) is greater than P(X<22)

2. P(X>22) is smaller than P(X<22)

3. No comparison can be made without knowing the value of the standard deviation O


Expert Answer

Step 1

The normal distribution:

A continuous random variable X is said to follow normal distribution with mean µ and standard deviation σ if the probability density function of X is,

Statistics homework question answer, step 1, image 1

Step 2

It is given that X follows a normal distribution with µ =26.

The probability that   X greater than 22 is calculated as follows:

Statistics homework question answer, step 2, image 1


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