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for a certain candy,15% of pieces are yellow, 5 cresund to three de:-mal planes

ID: 3295143 • Letter: F

Question

for a certain candy,15% of pieces are yellow, 5


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Explanation / Answer

Solution:

P(Yellow)=0.15

P(red)=0.2

P(blue)=0.05

P(green)=0.05

a)

P(brown)=1-(0.15+0.2+0.05+0.05)=0.55

b)

P(yellow or blue)=P(Yellow)+P(blue)=0.2

c)

P'(green)=1-P(green)=1-0.05=0.95

d)

P(striped)=0

e)

P(3 brown)=0.55^3=0.166

f)

P( third one being the first red one)=P'(red)*P'(red)*P(red)=0.8*0.8*0.2=0.128

g)

P(none yellow)=P'(yellow)^3=(1-0.15)^3=0.614

h)

P(aleast 1 green)=1-P(no green)=1-(0.95)^3=0.143