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nataly862011 [7]
2 years ago
8

In a production process, the probability of manufacturing a defective rear view mirror for a car is 0.075. Assume that the quali

ty status of any rear view mirror produced in this process is independent of the status of any other rear view mirror. A quality control inspector is to examine rear view mirrors one at a time to obtain three defective mirrors. Determine the probability that the third defective mirror is the 10th mirror examined.
Mathematics
1 answer:
Leviafan [203]2 years ago
5 0

Answer:

The probability that the 3rd defective mirror is the 10th mirror examined = 0.0088

Step-by-step explanation:

Given that:

Probability of manufacturing a defective mirror = 0.075

To find the probability that the 3rd defective mirror is the 10th mirror examined:

Let X be the random variable that follows a negative Binomial expression.

Then;

X \sim  -ve  \ Bin (k = 3 , p = 0.075)\\ \\ P(X=x)= \bigg (^{x-1}_{k-1}\bigg)\times P^k\times (1-P)^{x-k}

= \bigg (^{10-1}_{3-1}\bigg)\times 0.075^3\times (1-0.075)^{10-3}

= \bigg (^9_2\bigg)\times 0.075^3\times (1-0.075)^{7}

= \dfrac{9!}{2!(9-2)!}\times 0.075^3\times (0.925)^{7}

= \dfrac{9*8*7!}{2!(7)!}\times 0.075^3\times (0.925)^{7}

= 0.0087999

≅ 0.0088

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[URGENT]
Blizzard [7]

When you write URGENT the Brainly cops think you may be taking a test.

y = ax² + c thru (-1,4) and (0,8)

Substituting in the coordinates of each point for x and y gives two equations:

4 = a  (-1)² + c

8 = a (0²) + c = c

From the second one we see c=8.  Substituting into the first one,

4= a + 8

a = 4-8 = -4

Answer: a=-4, c=8

Check:

f(x) = -4x² + 8

f(0) = 8, good

f(-1) = -4(1) + 8 = 4, good

5 0
3 years ago
Which number comes next in this series<br> A) 4<br> B) 21<br> C) 31<br> D) 34
Greeley [361]
What is the series you are referring too?
3 0
3 years ago
Eric's average income for the four months of the year 1450 point to $5 what must be his average income for the remaining eight m
Zielflug [23.3K]

Answer:

$2668.63

Step-by-step explanation:

If the average of 4 months is $5

Meaning the total sum for 4 months

4×5 =$20

If the average for the year was $1780.75​

It means the total sum for a year is;

$1780.75​×12 =$21369

This means the money received for the remaining 8 months is;

$21369-$20=$21349

Hence the average income for the remaining 8months is ;

The total amount for 8 months / 8;

$21349/8= $2668.625

$2668.63

8 0
2 years ago
2. Find the value of x. *<br> 3(x + 2)<br> RE<br> 24
Elan Coil [88]

Answer:

x=6

Step-by-step explanation:

3(x+2) = 24

Divide each side by 3

3/3(x+2) = 24/3

x+2 = 8

Subtract 2 from each side

x+2-2 = 8-2

x=6

8 0
3 years ago
Read 2 more answers
Carl bought 24 daisies and roses. Daisies cost $0.25 each and roses cost $0.90 each. If
yuradex [85]

Answer:

Roses= $8.4

Daises= $15.6

Step-by-step explanation:

Let represent the daises and let r represent d roses

r + d= 24....equation 1

0.25r + 0.90d= 16.40.......equation 2

r= 25-d

Substitute 25-d for r in equation 2

0.25(25-d) + 0.90d= 16.40

6.25-0.25d+0.90d= 16.40

6.25+0.65d= 16.40

0.65d= 16.40-6.25

0.65d= 10.15

d= 10.15/0.65

d = 15.6

Sub 15.6 for d in equation 1

r+d= 24

r+15.6= 24

r= 24-15.6

= 8.4

Price of daises is $15.6

Roses is $8.4

4 0
3 years ago
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