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If one woman is selected find the probability that her height is less than 65 inch with a mean of 64.4 and standard deviations of 1.8

Respuesta :

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