Let X be a normal random variable with a mean of 179 and a s

Let X be a normal random variable with a mean of 1.79 and a standard deviation of 3.86. Calculate the corresponding standardized value (z) for the point x = 4.3. Give your answer to 2 decimal places, z = The area under the standard normal probability density function from negative infinity to z is interpreted as the probability that the random variable is: less than or equal to z equal to z greater than or equal to z

Solution

a)

z = (x - u) / sigma = (4.3 - 1.79)/3.86 = 0.650259067

z = 0.65 [ANSWER]

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b)

Negative infinity is to the far left of your z. Thus,

OPTION A: less than or equal to z [ANSWER]