A specialty foods company sells "gourmet steaks." The steaks vary in size, with a mean uncooked weight of 1.5 pounds and standard deviation 0.10 pound. Use a normal model for the weight of a steak. Complete parts (a) through (d). (a) Estimate the proportion of steaks that weigh less than 1.4 pounds. The proportion of steaks that weigh less than 1.4 pounds is .1587. (Round four decimal places as needed.) (b) If a standard order has 3 steaks, then what model can be used to describe the total weight of the steaks in a standard order? (Do you need to make any assumptions?) Assuming that the random variables for the weights of the individual steaks are independent and identically distributed, the mean of the model for the total weight is pound(s) and the standard deviation of the model for the total weight is pound(s). (Round to two decimal places as needed.)

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A specialty foods company sells "gourmet steaks." The steaks vary in size, with a mean uncooked weight of 1.5 pounds and standard deviation 0.10 pound. Use a normal model for the weight of a steak. Complete parts (a) through (d).
(a) Estimate the proportion of steaks that weigh less than 1.4 pounds.
The proportion of steaks that weigh less than 1.4 pounds is .1587.
(Round to four decimal places as needed.)
(b) If a standard order has 3 steaks, then what model can be used to describe the total weight of the steaks in a standard order? (Do you need to make any assumptions?)
Assuming that the random variables for the weights of the individual steaks are independent and identically distributed, the mean of the model for the total weight is
pound(s) and the standard deviation of the model for the total weight is
pound(s).
(Round to two decimal places as needed.)
Transcribed Image Text:A specialty foods company sells "gourmet steaks." The steaks vary in size, with a mean uncooked weight of 1.5 pounds and standard deviation 0.10 pound. Use a normal model for the weight of a steak. Complete parts (a) through (d). (a) Estimate the proportion of steaks that weigh less than 1.4 pounds. The proportion of steaks that weigh less than 1.4 pounds is .1587. (Round to four decimal places as needed.) (b) If a standard order has 3 steaks, then what model can be used to describe the total weight of the steaks in a standard order? (Do you need to make any assumptions?) Assuming that the random variables for the weights of the individual steaks are independent and identically distributed, the mean of the model for the total weight is pound(s) and the standard deviation of the model for the total weight is pound(s). (Round to two decimal places as needed.)
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