SOLUTION: Complete the following problems using the 68/95/99.7 rule. 1. For a standard normal distribution, compute the following and then place them in order from smallest to largest. (

Question 919643: Complete the following problems using the 68/95/99.7 rule.
1. For a standard normal distribution, compute the following and then place them in order from smallest to largest.
(a) P(x≤1) (b) P(x≤−1)
(c) mean
(d) standard deviation
(e) P(x≥2)
2. The height of 5th grade boys in the U.S. is normally distributed with an average height of 142.5 cm and a standard deviation of 7.1 cm. What is the probability that a randomly selected 5th grade boy is taller than 156.7 cm?

Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
P(z) = Area under the standard normal curve to the left of the particular z
Note: z = 0 (x value: the mean) 50% of the area under the curve is to the left and 50% to the right

using the 68/95/99.7 rule (note: = 16%
(a) P(x≤1) = 50% + 16% = 66%
(b) P(x≤−1) = 16%
(c) mean
(d) standard deviation
(e) P(x≥2) = 2.5%
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