The probability of one woman to have height less than 64.4 in is 0.6293
Explanation:
Given:
Mean, μ = 64.4
Standard deviation, δ = 1.8
Probability that the height of the woman is less than 65 inch = ?
So,
P(x < 65) = 65 - μ / δ
[tex]=\frac{65 - 64.4}{1.8}\\ \\= 0.33[/tex]
P (x < 65) = P( z < 0.33)
Finding the probability value from the z table we get:
P( z < 0.33) = 0.6293
Therefore, the probability of one woman to have height less than 64.4 in is 0.6293
