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Mathematics 15 Online
OpenStudy (anonymous):

A container holds 50 electronic components, of which 10 are defective. If 6 components are drawn at random from the container, the probability that at least 4 are not defective is ? If 8 components are drawn at random from the container, the probability that exactly 3 of them are defective is ?

OpenStudy (jennyrlz):

what are you are answer choices

OpenStudy (anonymous):

question 1 choices 0.26 0.42 0.75 0.91 1.00

OpenStudy (anonymous):

question 2 choices 0.147 0.203 0.300 0.375 0.750

OpenStudy (jennyrlz):

hmm this is a lot harder than the other questions so give me a sec, for question i know it is not the last or first options

OpenStudy (jennyrlz):

for question 1*

OpenStudy (jennyrlz):

hmm this just an educated guess but i think it is .91 here is my explanation...

OpenStudy (jennyrlz):

the chance of drawing a undefected device of one roll are 4/5 (40/50) = .8

OpenStudy (jennyrlz):

but now we are not asking for 40 we just want at least four, so the chances are not 100% but it is much higher than 75

OpenStudy (jennyrlz):

leaving only 91

OpenStudy (jennyrlz):

sadly working it out i stubled, but for number one you just need to look at it logically

OpenStudy (jennyrlz):

i am 91% sure it is the right anwer :)

OpenStudy (jennyrlz):

but realstically i would go with 91

OpenStudy (jennyrlz):

now onto question two

OpenStudy (jennyrlz):

instead of working it out let me look at it logically

OpenStudy (jennyrlz):

so we have 10 defective devices out of 50

OpenStudy (jennyrlz):

just drawing one is a 1/5 (q0/50) chance

OpenStudy (jennyrlz):

10*

OpenStudy (jennyrlz):

wich is equal to .2

OpenStudy (jennyrlz):

unlike the last question, the odds are not in our favor

OpenStudy (jennyrlz):

meaning it is lower than .2

OpenStudy (jennyrlz):

leaving only one possible answer

OpenStudy (jennyrlz):

A

OpenStudy (jennyrlz):

even if it were only asking one defective device and not 3 the chances would not be greater than .2 so b + the other choices are impossible

OpenStudy (jennyrlz):

for one*

OpenStudy (jennyrlz):

did i make sense :)

OpenStudy (anonymous):

yea thanks

OpenStudy (jennyrlz):

no problem :)

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