Question

In: Statistics and Probability

STATISTICS An automatic machine inserts mixed vegetables into a plastic bag. Past experience shows that some...

STATISTICS

An automatic machine inserts mixed vegetables into a plastic bag. Past experience shows that some packages were underweight and some were overweight, but most of them had satisfactory weight.

Weight % of Total

Underweight 2.5

Satisfactory 90.0

Overweight 7.5

a) What is the probability of selecting and finding that all three bags are overweight?

b) What is the probability of selecting and finding that all three bags are satisfactory?

Expert Solution

GIVEN,

Weight % of Total

Underweight 2.5

Satisfactory 90.0

Overweight 7.5

(A)

the probability of selecting and finding that all three bags are overweight

P( Overweight ) = 7.5% = 0.075

3 bags are selected.

o, probability that all three bags are overweight = 0.075³ = 0.0004219

(b)

is the probability of selecting and finding that all three bags are satisfactory

P( 3 bags are Satisfactory )

so, probability that all three bags are satisfactory =(90%)^3 = 0.90^3 = 0.729

NOTE; if you have any doubts please free to ask in comment box below

orchestra answered 2 years ago

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