offers a $ 1:15:18 A particular telephone number incoming calls. (Round your ans

Question

offers a $ 1:15:18 A particular telephone number incoming calls. (Round your answers to three decimal places.) is used to receive both volce calls and fax messages. S se that 25% of the icorug als nvolve "as (a) what the probablity that at most 4 of the cals involve a fax message? (B) what the probablity that exactly 4 of cats invovt fax message? te, what is the probab ity bat at least 4 ofthe als move ra' mesage? (d) what is the probabity that more than 40, the cals rvevo .fa" message? use the appropriate table in the Appendiax of Tables to anewer thia this question for this purpose

Explanation / Answer

Ans:

Binomial distribution:

n=25,p=0.25

P(x=r)=25Cr*0.25r*0.7525-r

a)

P(x<=4)=BINOMDIST(4,25,0.25,TRUE)=0.214

b)

P(x=4)=25C4*0.254*0.7521=0.118

c)

P(x>=4)=1-P(x<=3)=1-BINOMDIST(3,25,0.25,TRUE)=1-0.0962=0.904

d)

P(x>4)=1-P(x<=4)=1-0.214=0.786

k BINOMDIST(k,25,0.25,FALSE) k BINOMDIST(k,25,0.25,FALSE) 0 0.0008 13 0.0025 1 0.0063 14 0.0007 2 0.0251 15 0.0002 3 0.0641 16 0.0000 4 0.1175 17 0.0000 5 0.1645 18 0.0000 6 0.1828 19 0.0000 7 0.1654 20 0.0000 8 0.1241 21 0.0000 9 0.0781 22 0.0000 10 0.0417 23 0.0000 11 0.0189 24 0.0000 12 0.0074 25 0.0000

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