Question

In: Statistics and Probability

1. A magazine reported that 9% of American drivers read the newspaper while driving. If 300...

1. A magazine reported that 9% of American drivers read the newspaper while driving. If 300 drivers are selected at random, use the normal distribution to approximate the probability that at least 20 say they read the newspaper while driving.

Solutions

Expert Solution

We have given,      
      
n=300  
p=0.09  
      
np=27  
nq=273  
      
Since, therefore, we need to use here,Normal Approximation for the Binomial Distribution      
      

=P[X>19.5].....................by using continuity correction.

=P[Z>-1.51]

=1-0.0655.................by using Z table or Excel =NORMSDIST(-1.51)

=0.9345

Therefore,  the probability that at least 20 say they read the newspaper while driving =0.9345

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