Question

5. It is reported that 35% of American households use a cell phone exclusively for their telephone service. If you want to find the probability in a sample of 6 households that at least 3 households exclusively use a cell phone for telephone service, you should approach this question by which of the following probability distributions: Poisson, Uniform, Normal, Binomial, Hypergeometric, and Exponential?

Answer 1

will X by a ry denoting the ho. of households using a cell phone exclusively for thier telephu- he seriu and it is given that 35% of American do this then pozablity be रच 35 50:35 -UD- Here are sample 6 house- halda then here x will in a Bnom at Row with parameter لماحي na 6 & p=0.35

rexu bromial (6,0-35) le we will probability dish bution. approach Binomial q 2 Now from the given table Plexactly 3 household)= P(x=3) = 0.23549 10(х 23) =0:2359-9 23593 Plat least 3) = f(x3) P[ 433).+R(434) Rfxs +Ptx=6) 0.235436 009 516 +0.02098 + 0.00184 from table Platlent) = 0.35285 3 AR! an plat berat

c) Il fewer than 4 hou se hold) 2 {( x (4) filx=) + (xl) +(4:3) +PLX33) 067542 024344703281 + 0:23549 frontable 0*28258 HAL AL 4) >0.8%25%