Question

In: Math

1.Assume that the heights of adult women are normally distributed with a mean height of 160...

1.Assume that the heights of adult women are normally distributed with a mean height of 160 centimeters and the standard deviation is 8 centimeters.

What percentage of individuals have heights less than 160 centimeters?

2. Find the probability that a randomly selected individual has a height greater than 176 centimeters.

3. Find the probability that a randomly selected individual has a height less than 152 centimeters.

4. Can you determine the probability that a randomly selected individual has a height greater than 180 centimeters?

Expert Solution

µ = 160

sd = 8

a)

= P(Z < 0)

= 0.5

b)

= P(Z > 2)

= 1 - P(Z < 2)

= 1 - 0.9772

= 0.0228

c)

= P(Z < -1)

= 0.1587

d)

= P(Z > 2.5)

= 1 - P(Z < 2.5)

= 1 - 0.9938

= 0.0062

milcah answered 8 months ago

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