Question: where a= 3 b=0 VII. (8 points) Let x be the birth weight of a randomly baby in a certain country. Assume that I is

where a= 3

b=0

VII. (8 points) Let x be the birth weight of a randomly baby in a certain country. Assume that I is normally distributed with the mean of (10 xa +3369) grams and the standard deviation of (567+b) grams. Find each of the following. 1. Sketch the PDF (Probability Density function) of x. Label the mean. 2. Find the probability that a randomly selected newborn has a birth weight between 3300 grams and 3600 grams. 3. Interpret your answer to the preceding question in terms of a relative frequency.. 4. Let 7 be the random variable measuring the sample mean weight of 35 randomly selected newborns. Is the random variable 7 normally distributed: Why? 5. Find the mean and the standard deviation of T. 6. Find the probability that randomly selected 35 newborns have an average birth weight greater than 3400 grams. 7. Interpret your answer to the preceding question in terms of a relative frequency 8. Sketch the PDF of the random variable 7 using the same scale as that of x. Label the mean of 1 VII. (8 points) Let x be the birth weight of a randomly baby in a certain country. Assume that I is normally distributed with the mean of (10 xa +3369) grams and the standard deviation of (567+b) grams. Find each of the following. 1. Sketch the PDF (Probability Density function) of x. Label the mean. 2. Find the probability that a randomly selected newborn has a birth weight between 3300 grams and 3600 grams. 3. Interpret your answer to the preceding question in terms of a relative frequency.. 4. Let 7 be the random variable measuring the sample mean weight of 35 randomly selected newborns. Is the random variable 7 normally distributed: Why? 5. Find the mean and the standard deviation of T. 6. Find the probability that randomly selected 35 newborns have an average birth weight greater than 3400 grams. 7. Interpret your answer to the preceding question in terms of a relative frequency 8. Sketch the PDF of the random variable 7 using the same scale as that of x. Label the mean of 1

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