MAT1272 s Statistics, CitvTrh MAT1272 Statistics Formula Sheet 7) At J ice cream

Question

MAT1272 s Statistics, CitvTrh MAT1272 Statistics Formula Sheet 7) At J ice cream is set to dispense 16 ounces of ice cream into every carton. However, cartons contain slightly less than and some contain slightly more than 16 ounces en and Perry Ice Cream Company, the machine that fills 1-pound cartons of Top ice cream. The amounts have a normal distribution with a mean of 16 ounces and a standard deviation of 0.18 ounces. Flavor some of a) Find th e probability that a randomly selected carton contains 16.20 to 16.50 ounces of ice cream. b) What percent of such cartons contain less than 15.70 ounces of ice cream?

Explanation / Answer

The params of the normal distribution have been given to us as below:

Mean = 16

Stdev = .18

a. P(16.20<X<16.50)

= P( (16.20-16)/.18 <Z< (16.50-16)/.18)

= P(1.11<Z<2.78)

= .9973-.8667

= .1306

b. P(X<15.7)

= P(Z < (15.7-16)/.18)

= .0478

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