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Answer:
Step-by-step explanation:
Given that Z is a standard normal variate.
We are to calculate the probabilities as given
F(z) represents the cumulative probability i.e. P(Z<z)
a. P(z ≤ −1)
=F(-1)
= 0.158655
b. P(z > .95)
= 1-F(0.95)
= 0.1711
c. P(z ≥ −1.5)
= 1-F(-1.5)
= 0.9332
d. P(−.5 ≤ z ≤ 1.75)
=F(1.75)-F(-0.5)
= 0.6514
e. P(1 < z ≤ 3)
=F(3)-F(1)
=0.1573
Explanation is in the file
tinyurl.com/wtjfavyw
Angle x is the same as the angle opposite it so 63 degrees
angle y = 180 - 72 - 63 = 45 degrees
angle z is the same angle shown at point B so 72 degrees
Answer:
x = 9. 177
Step-by-step explanation:
