Suppose X is a continuous random variable that is normally distributed with stan

Question

Suppose X is a continuous random variable that is normally distributed with standard deviation of 4 and a mean of 20. Standardize the X value of 15. A team of marine researchers is investigating ocean life that lives in the Hadalpelagic Zone (> 6000 m beneath the surface). In this zone it is believed that the average depth at which the strange creatures that live here dwell is 7000 m with a standard standard deviation of 200 m. If the distribution of depths is normal, 1.07% of the life in this zone live above (indicate the correct answer): 6520 m 6560 m 6540 m 6786 m

Explanation / Answer

5) mean = 20 , s = 4, x = 15

z = ( x - mean) / s
= ( 15 - 20) / 4
= 1.25

6)
Here, z value at 0.0107 = -2.30
mean= 7000 , s = 200

x = mean - z*s
= 7000 - 2.30 * 200
=6540
Answer is option C)

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