Help me I got 25 missing assignments

Two types of defects are observed in the production of integrated circuit boards. It is estimated that 6% of the boards have sol

aalyn [17]

Answer:

(a) 0.09

(b) 0.06

(c) 0.0018

(d) 0.9118

(e) 0.03

Step-by-step explanation:

Let A = boards have solder defects and B = boards have surface defects.

The proportion of boards having solder defects is, P (A) = 0.06.

The proportion of boards having surface-finish defects is, P (B) = 0.03.

It is provided that the events A and B are independent, i.e.

$P(A\cap B)=P(A)\times P(B)$

(a)

Compute the probability that either a solder defect or a surface-finish defect or both are found as follows:

= P (A or B) + P (A and B)

$=P(A)+P(B)-P(A\cap B)+P(A\cap B)\\=P(A)+P(B)\\=0.06+0.03\\=0.09$

Thus, the probability that either a solder defect or a surface-finish defect or both are found is 0.09.

(b)

The probability that a solder defect is found is 0.06.

(c)

The probability that both defect are found is:

$P(A\cap B)=P(A)\times P(B)\\=0.06\times0.03\\=0.0018$

Thus, the probability that both defect are found is 0.0018.

(d)

The probability that none of the defect is found is:

$P(A^{c}\cup B^{c})=1-P(A\cup B)\\=1-P(A)-P(B)+P(A\cap B)\\=1-P(A)-P(B)+[P(A)\times P(B)]\\=1-0.06-0.03+(0.06\times0.03)\\=0.9118$

Thus, the probability that none of the defect is found is 0.9118.

(e)

The probability that the defect found is a surface finish is 0.03.

6 0

3 years ago

1.

LenKa [72]

The answer would be C because they say if 3 new students arrived each year.

4 0

3 years ago

Answer with detail. Please show work for all questions (worth 100 points plus ill mark brainliest) ^-^ Thanks!

polet [3.4K]

Answer:

see below

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

We can find the radius from the diameter

r = d/2 = 34/2 = 17

V = (3.14) (17)^2 * 27

V =24501.42 m^3

The surface of a cone is found by

SA = pi r^2 + pi r l where l is the slant height

We can find the radius from the diameter

r = 8/2 = 4

SA =(3.14) * 4^2 + 3.14 * 4*7

=50.24+87.92

138.16 in^2

The lateral surface area of a pyramid is found by taking the area of the sides

LSA = 4 * the area of a triangle

we multiply by 4 since there are 4 sides

= 4 * 1/2 b*h where b is the base of the triangle and h is the height of the triangle. (in this case it would be the slant height)

= 2 * 8 *22

=352 m^2

7 0

3 years ago

Read 2 more answers

Is paid an annual salary of $26,000. Find the Pat's weekly salary

elena-s [515]

Answer:500

Step-by-step explanation:26,000/52=500 i did $26,000 divided by 52 because there are 52 weeks in a year and it gave me 500 so that is how i got the answer

8 0

3 years ago

Read 2 more answers

Bob's Skate Shop had a profit of $3,563 during the month of August. The company models its profit using P=x^2+10x-12

Vladimir79 [104]

$x^2+10x-12 =3563 \\ x^2+10x-12 -3563=0 \\ x^2+10x-3575=0 \\ D=b^2-4ac=10^2-4*1*(-3575)=100+14300=14400 \\ x_{1,2}= \frac{-bб \sqrt{D} }{2a}= \frac{-10б \sqrt{14400} }{2}= \frac{-10б 120 }{2} \\ x_1= -65 \ \ \ \O \\ x_2=55$

The company sold 55 skateboards.

4 0

3 years ago