Answer:
0.1949
Step-by-step explanation:
Given a normal distribution with;
Mean(m) = 8.8 inches
Standard deviation (sd) = 0.7 inches
If one item is chosen at random, what is the probability that it is less than 8.2 inches long?
Find the Z-score :
x = 8.2 inches
Z = (x - m) / sd
Zscore = (8.2 - 8.8) / 0.7
Zscore = - 0.6 / 0.7
Zscore = - 0.857 = - 0.86
P(Z < - 0.86) :
From z distribution table :
P(Z < - 0.86) = 0.1949
If one item is chosen at random, there is a probability of 0.1949 that it will be less than 8.2 inches long.
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