An assembly consists of two mechanical components. suppose that the probabilities that the first and second components meet specifications are 0.91 and 0.85. assume that the components are independent. determine the probability mass function of the number of components in the assembly that meet specifications. x = number of components that meet specifications.

0.77

Step-by-step explanation:

Let A be the specification of first components and B be the specification of second component

Let P(A) be the probability that A meets specification and P(B) be the probability that B meets specification.

Probability mass function of the number of components in the assembly that meet specification = P(A) × P(B) (since they are independent)

X= 0.91×0.85

X= 0.77

hi,

3. 12.15, you are correct.

4.2.01, your first digit is correct,

hope this !

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.