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Chapter 6: Q.6.5 (page 370)

Suppose X has a normal distribution with mean 25 and standard deviation of five. Between what values of x do 68% of the values lie

Short Answer

Expert verified

The range of xvalue is (20,30).

Step by step solution

01

Given Information

X has a normal distribution with mean 25 and standard deviation five.

02

Explanation

According to the empirical rule of normal distribution, it is known that within one standard deviation of the mean, there are approximately 68% values of x lies.

According to the provided details, the random variable X follows normal

distribution with parameter (25,5). Hence, the range of x values can be calculated as below:

=渭卤l蟽

=25卤1脳5

=25卤5

=(20,30)

Therefore, the range of x value is (20,30).

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