Math, asked by topcarsinworld, 1 month ago

suppose that 90% of bolts and 85% of nails meet specifications. one bolt and one nail are chosen independently.
a. what is the probability that both meet specifications?
b. what is the probability that neither meet specifications?
c. what is the probability that at least one of them meets specification?

Answers

Answered by varmagarvita8920
1

Step-by-step explanation:

A 90% probability that a bolts meets

specifications

A 85% probability that a nail meets

specifications.

What is the probability that both meet

specifications?

We multiply both probabilities:

0.9*0.85 = 0.765

76.5% probability that both meet specifications.

What is the probability that neither meets

specifications?

A 10% probability that a bolts does not meet

specifications

A 15% probability that a nail does not meet

specifications.

0.1*0.15 = 0.015

1.5% probability that neither meets

specifications

What is the probability that at least one of

them meets specifications?

Either neither meets specifications, or at

least one of them does. The sum of these

probabilities is 100%.

From the second question, 1.5% probability that

neither meets specifications.

So 100-1.5 = 98.5% probability that at least one

Answered by tahreemrajpoot56
1

Answer:

(a). 76.5% probability that both meet specifications.

(b). 1.5% probability that neither meets  specifications.

(c). 98.5% probability that at least one.

Step-by-step explanation:

(a).  We multiply both probabilities:

                  0.9*0.85 = 0.765

76.5% probability that both meet specifications.

(b).    A 10% probability that a bolts does not meet  specifications

A 15% probability that a nail does not meet  specifications.

                            0.1*0.15 = 0.015

1.5% probability that neither meets  specifications.

(c).   Either neither meets specifications or at  least one of them does. The sum of these  probabilities is 100%.

From the second question, 1.5% probability that

neither meets specifications.

So

                            100-1.5 = 98.5

98.5% probability that at least one.  

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