The distribution of weights for newborn babies is approximately normally distributed with a mean of 7.4 pounds and a standard deviation of 0.7 pounds. 1. What percent of newborn babies weigh more than 8.1 pounds? % 2. The middle 95% of newborn babies weigh between and pounds. 3. What percent of newborn babies weigh less than 6 pounds? % 4. Approximately 50% of newborn babies weigh more than pounds. 5. What percent of newborn babies weigh between 6.7 and 9.5 pounds? %

1. 15.87%

2.  6 pounds and 8.8 pounds.

3. 2.28%

4. 50% of newborn babies weigh more than 7.4 pounds.

5. 84%

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 7.4 pounds

Standard Deviation, σ = 0.7 pounds

We are given that the distribution of weights for newborn babies is a bell shaped distribution that is a normal distribution.

Formula:

1.Percent of newborn babies weigh more than 8.1 pounds

P(x > 8.1)

Calculation the value from standard normal z table, we have,  

15.87% of newborn babies weigh more than 8.1 pounds.

2.The middle 95% of newborn babies weight

Empirical Formula:

Thus, from empirical formula 95% of newborn babies will lie between

95% of newborn babies will lie between 6 pounds and 8.8 pounds.

3. Percent of newborn babies weigh less than 6 pounds

P(x < 6)

Calculation the value from standard normal z table, we have,  

2.28% of newborn babies weigh less than 6 pounds.

4. 50% of newborn babies weigh more than pounds.

The normal distribution is symmetrical about mean. That is the mean value divide the data in exactly two parts.

Thus, approximately 50% of newborn babies weigh more than 7.4 pounds.

5. Percent of newborn babies weigh between 6.7 and 9.5 pounds

84% of newborn babies weigh between 6.7 and 9.5 pounds.

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step-by-step explanation:

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