OBFW Publishers According to the U.S. Census Bureau, 24% of U.S. residents are under 18 years old. Suppose we select a random sample of 500 U.S. residents. Let X = the number of people in the sample who are under 18 years old. (a) Show that the probability distribution of X is approximately normal. np= and n(1-p)= The probability distribution of X is approximately normal because np and (1-p) are both (b) Calculate the mean of the appropriate normal distribution. Mean= Do not round your answer. Calculate the standard deviation of the apprpriate normal distribution. Standard Deviation = Round your answer to 2 decimal places. (c) Use this normal distribution to calculate the probability that the number of people under 18 years old in a random sample of size 500 is between 100 and 110. Round your answer to 4 decimal places. Leave your answer in decimal form.

OBFW Publishers According to the U.S. Census Bureau, 24% of U.S. residents are under 18 years old. Suppose we select a random sample of 500 U.S. residents. Let X = the number of people in the sample who are under 18 years old. (a) Show that the probability distribution of X is approximately normal. np= and n(1-p)= The probability distribution of X is approximately normal because np and (1-p) are both (b) Calculate the mean of the appropriate normal distribution. Mean= Do not round your answer. Calculate the standard deviation of the apprpriate normal distribution. Standard Deviation = Round your answer to 2 decimal places. (c) Use this normal distribution to calculate the probability that the number of people under 18 years old in a random sample of size 500 is between 100 and 110. Round your answer to 4 decimal places. Leave your answer in decimal form.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.3: Conditional Probability; Independent Events; Bayes' Theorem

Problem 65E

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