1. According to a researcher's data, about 63% of all of San Diego has taken at least 1 dance class. Suppose that we obtain 300 randomly selected San Diegans. a) Is the sample large enough to use the normal approximation for the binomial? Show it using the conditions. b) Fill in the blanks to the distribution when we obtain 300 San Diegans. Round to 4 decimal places. X~AN ( ) ) c) Use the approximation to the binomial to find the probability that at least 193 of the 300 randomly selected San Diegans have taken at least 1 dance class. Round to 4 decimals.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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1. According to a researcher's data, about 63% of all of San Diego has taken at least 1 dance
class. Suppose that we obtain 300 randomly selected San Diegans.
a) Is the sample large enough to use the normal approximation for the binomial? Show it
using the conditions.
b) Fill in the blanks to the distribution when we obtain 300 San Diegans. Round to 4
decimal places.
X~AN(
)
c) Use the approximation to the binomial to find the probability that at least 193 of the
300 randomly selected San Diegans have taken at least 1 dance class. Round to 4
decimals.
Transcribed Image Text:1. According to a researcher's data, about 63% of all of San Diego has taken at least 1 dance class. Suppose that we obtain 300 randomly selected San Diegans. a) Is the sample large enough to use the normal approximation for the binomial? Show it using the conditions. b) Fill in the blanks to the distribution when we obtain 300 San Diegans. Round to 4 decimal places. X~AN( ) c) Use the approximation to the binomial to find the probability that at least 193 of the 300 randomly selected San Diegans have taken at least 1 dance class. Round to 4 decimals.
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