The probability of the percentage of salts not matching the sand from

impresijuzj

impresijuzj

Answered question

2021-11-13

The probability of the percentage of salts not matching the sand from a particular source is 0.2, and the probability of its grained gradient not matching the specifications is 0.03, so the probability of the sand matching the specifications is equal?

Answer & Explanation

Xyle1991

Xyle1991

Beginner2021-11-14Added 15 answers

Step 1
Let the probability that sand is from particular source be S
Let G be the probability of grained gradient.
Therefore P(S)=0.2 and P(G)=0.03
Since the two events are independent of each other, therefore:
P(S)=1P(S)
=10.2
=0.8
And
P(G)=1P(G)
=10.03
=0.97
Step 2
Therefore the probability that the sand matches the specification is given by:
P(SG)=P(S)P(G)
=0.8×0.97
=0.776
Hence the probability that the sand matched the specifications is 0.776.

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