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The weight for newborn babie i approximately normally ditributed with a mean of 6. 6 pound and a tandard deviation of 1. 2 pound. Conider a group of 900 newborn babie:

1. How many would you expect to weigh between 3 and 8 pound?

2. How many would you expect to weigh le than 7 pound?

3. How many would you expect to weigh more than 6 pound?

4. How many would you expect to weigh between 6. 6 and 9 pound?



Answer :

Approximately 795 newborn babies (88.3% of the 900 newborn babies) would be expected to weigh less than 7 pounds.

1. Approximately 728 newborn babies (81.3% of the 900 newborn babies) would be expected to weigh between 3 and 8 pounds.

2. Approximately 795 newborn babies (88.3% of the 900 newborn babies) would be expected to weigh less than 7 pounds.

3. Approximately 450 newborn babies (50% of the 900 newborn babies) would be expected to weigh more than 6 pounds.

4. Approximately 645 newborn babies (71.7% of the 900 newborn babies) would be expected to weigh between 6.6 and 9 pounds.

• Between 3 and 8 pounds: 0.6826*900 = 613.4 + 0.95*900 = 814.5 = 728

• Less than 7 pounds: 0.9545*900 = 859.05 = 795

• More than 6 pounds: 0.5*900 = 450

• Between 6.6 and 9 pounds: 0.6826*900 = 613.4 + 0.3413*900 = 306.17 = 64

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