The weights of ice cream cartons are normally distributed with a mean weight of 10 ounces and a standard deviation of 0.3 ounce. (a) What is the probability that a randomly selected carton has a weight greater than 10.14 ounces? (b) A sample of 25 cartons is randomly selected. What is the probability that their mean weight is greater than 10.14 ounces? (a) The probability is| (Round to four decimal places as needed.) (b) The probability is (Round to four decimal places as needed.)

MATLAB: An Introduction with Applications
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The weights of ice cream cartons are normally distributed with a mean weight of 10 ounces and a standard deviation of 0.3 ounce.
(a) What is the probability that a randomly selected carton has a weight greater than 10.14 ounces?
(b) A sample of 25 cartons is randomly selected. What is the probability that their mean weight is greater than 10.14 ounces?
(a) The probability is|
(Round to four decimal places as needed.)
(b) The probability is
(Round to four decimal places as needed.)
Transcribed Image Text:The weights of ice cream cartons are normally distributed with a mean weight of 10 ounces and a standard deviation of 0.3 ounce. (a) What is the probability that a randomly selected carton has a weight greater than 10.14 ounces? (b) A sample of 25 cartons is randomly selected. What is the probability that their mean weight is greater than 10.14 ounces? (a) The probability is| (Round to four decimal places as needed.) (b) The probability is (Round to four decimal places as needed.)
Expert Solution
Step 1

The question is about normal distribution

Given :

Popl. mean weight of ice cream cartons ( μ ) = 10 ounce

Popl. std. deviation of weight of ice cream cartons ( σ ) = 0.3 ounce

Randomly selected no. of cartons ( n ) = 25

 

To find ;

a ) Prob. that a randomly selected carton has weight greater than 10.14 ounce

b ) Prob. that mean weight is greater than 10.14 ounces for randomly selected 25 cartons 

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