Question

Baby weights: The weight of male babies less than 2 months old in the United States is normally distributed with mean 11.9 pounds and standard deviation 3.5 pounds. Use the TI-84 Plus calculator to answer the following (a) What proportion of babies weigh more than 13 pounds? (b) What proportion of babies weigh less than 15 pounds? (c) What proportion of bables weigh between 11.1 and 14 pounds? (d) Is it unusual for a baby to weigh more than 17 pounds? Round the answers to four decimal places. Part 1 of 4 The proportion of babies weighing more than 13 pounds is . Part 2 of 4 The proportion of babies weighing less than 15 pounds is Part 3 of 4 The proportion of babies weighing between 11.1 and 14 pounds is Part 4 of 4 (Choose one) , because the probability that a baby weighs more than 17 pounds is Check Answer Save For Later Submit Assignment

Answer 1

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3.5 sol Given el - 11.9 6 3.5 X Nleli 62 (a) P(x2 13) = ? P(x > 13) = P(x-all> 13-11.9) F = P(Z > 0.3142) (P(x> 13) = 0.3767) 6) P(XLIS) = P(x-1 L 18-11.9) - P(Z <0.88 $7) IP (XC15) = 0.8121) IC PCILILX 214) = P(111-11.g LX-old L 19 3.5 sp (-0.2286<2<0.6) - 1-PC2L -0.2286) - P(Z >o = 1-0.4096 - 0.2743 (PCILIKYLIG) - 0.3161 (A) PIX>17) = P(x-41 > 17:119) = P(Z > 1.4571) = 0.0725 because the probablity that a baby weights more than 17 pounds is 0.0705 No