Mathematics College

Suppose that 2% of produced computers by a company have defects, and defects occur independently of each other. a) Find the probability of exactly 2 defective computers in a shipment of 100 computers. b) The probability that a computer support specialist needs to test at least N computers in order to find one defective computer is 0.6676. Find N.

Answers

Answer 1

Answer:

a) P(exactly two defectives) = 0.2734

b) N [tex]\simeq[/tex] 55

Step-by-step explanation:

From the given information:

P(exactly two defectives) = P(X =2) = [tex]^{100}C_2 \times ( 0.02)^2 \times(1-0.02)^{100-2}[/tex]

[tex]= \dfrac{100!}{2!(100-2)!} \times ( 0.02)^2 \times(0.98)^{98}[/tex]

[tex]= 4950 \times 4 \times 10^{-4} \times 0.1380878341[/tex]

= 0.2734

Thus, P(exactly two defectives) = 0.2734

To find:

P(X ≥ 1 )

let X be the random variable that obeys a binomial distribution, X represents the number of defectives,

∴

[tex]X \sim B ( N, 0.02)[/tex]

[tex]P(X \ge 1 ) = 1 - P(X < 1) \\ \\ P(X \ge 1 ) = 1 - P(X = 0)[/tex]

[tex]0.6676 = 1 - ^NC_0 \times (0.02)^0 (0.98)^N[/tex]

[tex]0.6676 = 1 - (0.98)^N[/tex]

[tex](0.98)^N = 1 - 0.6676[/tex]

[tex](0.98)^N = 0.3324[/tex]

N log (0.98) = log (0.3324)

[tex]N = \dfrac{log \ 0.3324}{log \ 0.98}[/tex]

N = 54.51824841

N [tex]\simeq[/tex] 55

Related Questions

Had three thfk DJ back finding

Answers

The answer is d...........

identify a value k that makes (x+5) a factor of x^3+kx^2-x+45

will mark brainliest

Answers

Answer:

We should attempt synthetic division to find when

−

has a remainder of

, which would signify that it is a factor of the polynomial.

The synthetic substitution would be set up as:

−

∣

−

−−−

Treating the synthetic division like any other synthetic division problem, we see that

−

∣

−

−−−

−−−−−−−−

−

−−−−−−−−

−

−−−−−−−−−

−

If the remainder equals

, then we know that

−

(

−

)

Solve this to see that

Thus,

(

−

)

is a factor of

−

If ∧ ASC ≅ ∧ KSC then ∠8 is congruent to which angle?

Answers

Answer:

B. angle 5

Step-by-step explanation:

HELPPPPPP!!!!!!!!!!!!!

Answers

Answer:

Statement F is true

Step-by-step explanation:

Let x represent number of yoga classes

Let y represent total cost

Let m represent the additional fee per yoga class

Let b represent the membership fee

y=mx+b

Notice that after every 2 classes, the price goes up by 7.5 so m=7.5/2

m=3.75

Thus the first statement is true

Note you can also find the membership fee if you plug this in with some points

y=mx+b

67.5=3.75(6)+b

b=45 so membership fee is $45

what is the first term of an infinitely decreasing G.P whose sum is 16 and the second term is -0.5?

Answers

Answer:

8 + 6√2

Step-by-step explanation:

Sum of infinite GP is:

a/(1 - r) = 16 and

The second term is:

ar = -0.5

Eliminate r in the system:

a/(1-r) = 16 ⇒ a = 16 - 16r ⇒ 16r = 16 - a ⇒ r = 1 - a/16ar = -0.5 ⇒ r = -0.5/a

Compare the two equations and solve for a:

1 - a/16 = -0.5/a

Multiply both sides by 16a:

16a - a² = -8a² - 16a = 8 a² - 16a + 64 = 72(a - 8)² = 72a - 8 = ±√72a = 8 ± √72a = 8 + 6√2 a = 8 - 6√2, excluded as it is negative and makes common difference positive and so an increasing function

a = 8 - 6√2 = -0.4852 ⇒ r = -0.5/a = -0.5/-0.4852 = 1.03 > 1

2. A company manufactures baseball bats. The fixed expenses are $58,780 and the variable expenses are $28 per baseball bat produced. How many bats did they produce if their expenses total $406,960?

Answers

Answer:

12,435 bats

Step-by-step explanation:

We need to figure out how many bats were produced.

First let's write the equation. Cost is $28 for each bat, and we start with fixed expenses of $58,780

y=28x + 58780

We are given y, total expenses at 406,960

so 406,960 = 28x + 58780

subtract 58780 from both sides

406,960 - 58,780 = 28x

348,180 = 28x

divide both sides by 28

12,435 = x

This means they produced 12,435 bats.

please give thanks by clicking the heart button :)

Identify the pattern for the following sequence. Find the next three terms in the sequence.

-15, -11, -7, -3 ____, _____, _____,...

A: Subtract 4; -7, -11, -15
B: Add 4; 2, 6, 10
C: Subtract 4; 1, 5, 9
D: Add 4; 1, 5, 9

Answers

Answer:

D: Add 4; 1, 5, 9

Step-by-step explanation:

Firstly, we can look at the preceding sequence: -15, -11, -7, and -3. It's pretty much impossible to be subtract 4, since -15 - 4 = -19, and it only goes downhill from there, deviating from the original sequence. Hence, the front sequence should be following the pattern of add 4.

Now, to decide between B and D, all you have to do is add 4 to the last term of the sequence to continue it. In this case, that would be -3 + 4 = 4 - 3 = 1. Hence, we can instantly identify the correct option is D: Add 4; 1, 5, 9.

Hope this helped!

Answer:

D is the answer: 4, 1, 5, 9

Step-by-step explanation:

The table represents the total miles traveled, y, after a number of hours, x.

Hours, x
Miles, y
2.5
150
4.0
240
5.5
330
7.0
420

Which linear equation represents the situation?

y = 60 x
y = 60 x + 480
y = 4 x + 240
y = 270 x

Answers

Answer:

y=60x

Step-by-step explanation:

i did it on edg2020

Answer:

(2.5,150)(4,240)

slope = (240 - 150) / (4 - 2.5) = 90 / 1.5 = 60

y = mx + b

slope(m) = 60

(4,240)...x = 4 and y = 240

now we sub and find b, the y int

240 = 60(4) + b

240 = 240 + b

240 - 240 = b

0 = b

so ur equation is : y = 60x + 0 which is written as : y = 60x <==

Answer this question if cool

Answers

Answer:

The answer to your question is given below

Step-by-step explanation:

From the question given above, the mean score is 23.

Thus, we can obtain the distance from the mean (absolute deviation) by using the following formula: