In: Statistics and Probability
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.
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 |