A recent report indicated a typical family of four spends $490 per month on food

Question

A recent report indicated a typical family of four spends $490 per month on food. Assume the distribution of food expenditures for a family of four follows the normal distribution, with a standard deviation of $90 per month. (Round your intermediate answers to 2 decimal places. Round your answers to 2 decimal places.)

A recent report indicated a typical family of four spends $490 per month on food. Assume the distribution of food expenditures for a family of four follows the normal distribution, with a standard deviation of $90 per month. (Round your intermediate answers to 2 decimal places. Round your answers to 2 decimal places.)

Explanation / Answer

We have been given params for normal distribution:

Standard deviation = 90
Mean = 490

a.

P(30<X<490)
= P(-.94<Z<0)
=.1736

b.

P(X<430)
=P(X<-.122)
=.1112

c.

P(430<X<600)
=P(-.122<Z<.225)
=.5871-.1112
=.4759

d.

P( 500<X<600)
=P(.02<X<225)
=.5871-.5080
=.0791

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