Determine whether you can use the normal distribution to approximate the binomial distribution. If you​ can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you​ cannot, explain why and use the binomial distribution to find the indicated probabilities.   A survey of adults in a region found that 34​% name professional football as their favorite sport. You randomly select 12 adults in the region and ask them to name their favorite sport. Complete parts​ (a) through​ (d) below       Question content area bottom

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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Determine whether you can use the normal distribution to approximate the binomial distribution. If you​ can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you​ cannot, explain why and use the binomial distribution to find the indicated probabilities.
 
A survey of adults in a region found that
34​%
name professional football as their favorite sport. You randomly select
12
adults in the region and ask them to name their favorite sport. Complete parts​ (a) through​ (d) below
 
 
 

Question content area bottom

Part 1
Determine whether a normal distribution can be used to approximate the binomial distribution. Choose the correct answer below.
 
 
A.
​Yes, both
np≥5
and
nq≥5
 
B.
​No,
nq<5
 
C.
​No,
np<5
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