Assignesent Suemission scription structions Assignement Seoring Qusstion tis the

Question

Assignesent Suemission scription structions Assignement Seoring Qusstion tis the g weth 0 ports. The rest of the question is worth points,jurd pun somoting lor port band move onto the e of taxston der: tuw the norm! ernemen, ibunder maker to hir ts n 3 Calforms commanh: t land that 74% of the niimin an assod n the area nere rec decdmal places.) )1384 cans day, whiat is the probsblity thest s00 r mere wil be recycled? (b) f the 384 cans sold, what is the probabity that between 200 and 300 weli be resyded

Explanation / Answer

n = 384
p = prob. of can recycled = .74
q = prob. of can not recycled = 1 - p = .26

mu = n*p = (384)(.74) =284
sigma = sqrt(n*p*q) = sqrt ((384)(.74)(.26)) =8.59

a) Probability of 300 or more recyled is

P(X   300) = p( X-np / np(1-p)    300-284 / 8.59 )

= P( Z 1.86 )

= 1- P( Z < 1.86)

= 1- 0.9686

= 0.0314

b) Probability between 260 and 300

P( 260 Z , 300) = P( 260-284 /8.59   X-np / np(1-p) 300-284/8.59 )

= P( -2.79 Z 1.86 )

=0.966

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