Question

A population is normally distributed with mean 36.8 and standard deviation 3.5. Find the following probabilities. (Round your answers to four decimal places.)

(a)    p(36.8 < x < 40.3)


(b)    p(33.2 < x < 38.7)


(c)    p(x < 40.0)


(d)    p(32.3 < x < 41.3)


(e)    p(x = 37.9)


(f)    p(x > 37.9)

Answer 1

a)

similarly

b) 0.5545

c) 0.8197

d) 0.8015

e) 0

continuous distribution has zero probability at a particular point.

f) 0.3767

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