Normal Distribution and Probability Distribution
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Using the areas of the standard normal distribution (Z table),
1) Find a value , Xo, such that =160 and sq. =256
a) P(X < Xo) = 0.16
b) P(X Xo) = 0.75
2) Find a Z score, call it Zo, such that:
a) P (Z Zo) = 0.212
b) P (Z Zo) = 0.885
c) P (Z Zo) = 0.7704
d) P (-Zo Z Zo) = 0.8414
e) P (-2 Z Zo) = 06722
f) P (Zo Z 2.6) = 0.0312
3) A fair coin is tossed 20 times. Determine the probabilities for the following number of heads obtained.
a) Less than or equal to 8
b) Equal to 10
c) Less than 15
d) Greater than or equal to 12
e) Greater than 13
f) Between 8 and 14
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Solution Summary
This solution provides a detailed, step by step calculation of z scores and finds the probabilities for a coin toss.
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