e whether you can use the normal distribution to approximate the b nomial d Mb \

Question

e whether you can use the normal distribution to approximate the b nomial d Mb " you can use the normal dstribution to appro ir ate he hd ec ed p ob les and h hi g h "yo nd apl by d use the binomial distribution to find the indicated probabilities A survey of adults found that 71% of those who text on cel phones receive spam or um anted messages You randomly select 100 adh who tot on cel ph Determine whether a normal distribution can be used to approximate the binomial distribution. Cheose the correct answer below s Conykte pats (a through f 0 A. No, because nq

Explanation / Answer

1.
n*p>5, = 100*0.71> 5 => 71>5
n*(1-p)>5, =100*0.29> 5 => 29>5
Can Use Normal Approximation                  
  
yes because both np 5 and nq 5

2) 1.
Normal Approximation to Binomial Distribution
Mean ( np ) =100 * 0.71 = 71
Standard Deviation ( npq )= 100*0.79*0.21 = 20.3
Normal Distribution = Z= X- u / sd                   
P(X= 74) = (74-71)/20. =0.15
= P ( Z >015) From Standard Normal Table
=0.5596

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