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denpristay [2]
4 years ago
11

A random variable x is normally distributed with a mean of 100 and a variance of 25. Given that x = 110, its corresponding z- sc

ore is 0.40.
a. True
b. False
Mathematics
1 answer:
Rashid [163]4 years ago
4 0

A random variable x is normally distributed with a mean of 100 and a variance of 25. Given that x = 110, its corresponding z- score is 0.40.

Answer: The given z-score is false.

Explanation: We are given:

Mean, \mu=100,

Variance, \sigma^{2}=25

\therefore\sigma=\sqrt{\sigma^{2}}

                 =\sqrt{25}

                 =5

The z-score formula is given below:

z=\frac{x-\mu}{\sigma}

        =\frac{110-100}{5}

        =\frac{10}{5}

        =2

Therefore, the z-score corresponding x=100 is 2

Therefore, the given z-score = 0.4 is false.


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