If it is equal to (or) greater than 5, add_

Components arriving at a distributor are checked for defects by two different inspectors (each component is checked by both insp

miss Akunina [59]

Answer:

The probability that defective component will be detected only by the first inspector is 0.19

The probability that defective component will be detected by exactly one of the two inspectors is 0.38

The probability that all three defective components in a batch escape detection by both inspectors is 0.

Step-by-step explanation:

Part (A)

It is given that The first inspector detects 81% of all defectives that are present, and the second inspector does likewise.

Therefore P(A)=P(B)=81%=0.81

At least one inspector does not detect a defect on 38% of all defective components.

Therefore, $P(\overline{A\cap B})=0.38$

As we know:

$P(\overline{A\cap B})=1-P(A\cap B)=0.38\\P(A\cap B)=1-0.38=0.62$

A defective component will be detected only by the first inspector.

$P(A \cap \bar B)=P(A)-P(A\cap B)\\P(A \cap \bar B)=0.81-0.62\\P(A \cap \bar B)=0.19$

The probability that defective component will be detected only by the first inspector is 0.19

Part (B) A defective component will be detected by exactly one of the two inspectors.

This can be written as: $P(A \cap \bar B)+P(\bar A\cap B)$

As we know:

$P(\bar A \cap B)=P(B)-P(A\cap B)\ and\ P(A \cap \bar B)=P(A)-P(A\cap B)$

Substitute the respective values we get.

$P(A \cap \bar B)+P(\bar A\cap B)=P(A)+P(B)-2P(A\cap B)\\=0.81+0.81-2(0.62)\\=1.62-1.24\\=0.38$

The probability that defective component will be detected by exactly one of the two inspectors is 0.38

Part (C) All three defective components in a batch escape detection by both inspectors

This can be written as: $P(\bar A \cup \bar B)-P(\bar A\cap B)-P(A\cap \bar B)$

As we know $P(\overline{A\cap B})=P(\bar A\cup \bar B)=0.38$

From part (B) $P(\bar A\cap B)+P(A\cap \bar B)=0.38$

This can be written as:

$P(\bar A \cup \bar B)-P(\bar A\cap B)-P(A\cap \bar B)=0.38-0.38=0$

The probability that all three defective components in a batch escape detection by both inspectors is 0

7 0

3 years ago

Which of the following expressions are equivalent to -3x- 6/10

olga nikolaevna [1]

Answer:

c= none of the above

Step-by-step explanation:

-3x- 6/10

This has two separate terms, a term with a variable

-3x and a term with a constant -6/10

A=3/6x1/10 This has only one term

b=- 3/10x-6 This has a different x term -3/10 which is not -3

c= none of the above

8 0

3 years ago

Please please anwser no spam please

True [87]

Answer:

∠ 4 = 140°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ 4 is an exterior angle of the triangle, then

∠ 4 = ∠ 1 + ∠ 2 ( substitute values )

11x + 8 = 6x + 7 + 4x + 13

11x + 8 = 10x + 20 ( subtract 10x from both sides )

x + 8 = 20 ( subtract 8 from both sides )

x = 12

Then

∠ 4 = 11x + 8 = 11(12) + 8 = 132 + 8 = 140°

4 0

3 years ago

Writing Linear Equations. <br> help is needed

dlinn [17]

Answer:

$C=4m+30$

4 0

3 years ago

Read 2 more answers

Emily has 140 books. If Frank were to triple the number of books that he now owns, he would still have fewer than Emily has.

aniked [119]

B * 3 < 140
B being the number of books Frank owns. Because tripling the amount of books he owns is still less than the amount of book Emily owns, b*3 has to be less than 140

3 0

3 years ago

Read 2 more answers

If it is equal to (or) greater than 5, add__ to previous digit