Question

A manufacturer of game controllers is concerned that its controller may be difficult for​ left-handed users. They set out to find lefties to test. About 14​% of the population is​ left-handed. If they select a sample of 5 customers at random in their​ stores, what is the probability that there are at least 3 lefties in the group?

Answer 1

We have here given, n=5 , p = 0.14

  

=1-{0.4704+0.3829+0.1247}

=0.022

  

Where,

Alternatively by using Excel command

  

=1-0.978................................................by using  =BINOMDIST(2,5,0.14,TRUE)

=0.022

Therefore,  the probability that there are at least 3 lefties in the group is 0.022