Question 4) The weight of male babies less than 2 months old in the United States is normally distributed with mean 11.6 pounds and standard deviation 2.8 pounds. Round your final answers to four decimal places. (a) What proportion of babies weigh more than 15 pounds? 3 point (b) What proportion of babies weigh less than 12 pounds? 2 point (c) What proportion of babies weigh between 11 and 16 pounds? 4 points (d) Is it unusual for a baby to weigh more than 18 pounds? 4 points

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Transcribed Image Text: 4) The weight of male babies less than 2 months old in the United States is normally distributed with mean 11.6 pounds and standard deviation 2.8 pounds. Round your final answers to four decimal places. (a) What proportion of babies weigh more than 15 pounds? 3 point (b) What proportion of babies weigh less than 12 pounds? 2 point (c) What proportion of babies weigh between 11 and 16 pounds? 4 points (d) Is it unusual for a baby to weigh more than 18 pounds? 4 points
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Transcribed Image Text: 4) The weight of male babies less than 2 months old in the United States is normally distributed with mean 11.6 pounds and standard deviation 2.8 pounds. Round your final answers to four decimal places. (a) What proportion of babies weigh more than 15 pounds? 3 point (b) What proportion of babies weigh less than 12 pounds? 2 point (c) What proportion of babies weigh between 11 and 16 pounds? 4 points (d) Is it unusual for a baby to weigh more than 18 pounds? 4 points
Community Answer
MPHYOW

mu=11.6 pounds, sigma=2.8 poundsa){:[P(x > 15)=P((x-11.6)/(2.8) > (15-11.6)/(2.8))],[=P(z > 1.2143)],[=0.1123]:}b){:[P(x < 12)=P((x-11.6)/(2.8) < (12-11.6)/(2.8))],[=P(z < 0.1429)],[=0.5568]:}c){:[P(11 < x < 16)=P((11-11.6)/(2.8) < ( ... See the full answer