1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Brut [27]
3 years ago
10

Of all the weld failures in a certain assembly, 85% of them occur in the weld metal itself, and the remaining 15% occur in the b

ase metal. A sample of 20 weld failures is examined.a.  What is the probability that exactly five of them are base metal failures?b.  What is the probability that fewer than four of them are base metal failures?c.  What is the probability that none of them are base metal failures?d.  Find the mean number of base metal failures,e.  Find the standard deviation of the number of base metal failures.
Mathematics
1 answer:
Aloiza [94]3 years ago
4 0

Answer:

a.) 0.1028

b.) 0.6477

c.) 0.0388

d.) 3

e.) 2.55

Step-by-step explanation:

Forming a binomial Probability distribution

n = 20

Probability of success for Weld metal failure = 85%

Probability of success for base metal failure = 15%

We use the probabilit distribution formula of combination to solve the problem.

P(x=r) = nCr * p^r * q^n-r

a.) if exactly 5 are base metal failures, then p = 15 and our solution becomes:

P(x=5) = 20C5 * 0.15^5 * 0.85^15

P(x=5) = 0.1028

b.) probability that fewer than 4 are base metal failure= P(x=0) + P(x=1) + P(x=2) + P(x=3)

P(x=0) = 20C0 * 0.15^0 * 0.85^20 = 0.0388

P(x=1) = 20C1 * 0.15¹ * 0.85^19 = 0.1368

P(x=2) = 20C2 * 0.15² * 0.85^18 = 0.2293

P(x=3) = 20C3 * 0.15³ * 0.85^17 = 0.2428

Probability that fewer than 4 are base metal failures becomes: 0.038 + 0.1368 + 0.2293 + 0.2428 = 0.6477

c.) probability that none of them are results of base metal failure = P(x=0). As earlier calculated,

P(x=0) = 0.0388

d.) mean of base metal failures = np = 20*0.15 = 3

e.) standard deviation of base metal failures = √np(1-p)

=3 * (1 - 0.15) = 3 * 0.85

= 2.55

You might be interested in
Math question (working too, if possible)
Alecsey [184]
0.015 x 600 =9 so more than expected
7 0
3 years ago
If there were 80 points scored overall, how many of them were scored by Bridgette? she scored 5% of the points
Simora [160]

Answer: she scored 4 points

Step-by-step explanation: 5% of 80=4

;-----------;

6 0
3 years ago
Read 2 more answers
The correct answer please.​
11Alexandr11 [23.1K]
Y+4= -4(x-3)
y+4=-4x+12
4x+y=8
7 0
3 years ago
Read 2 more answers
Given d is the midpoint of ab, e is the midpoint of bc, and ac = 24 units. which of the following statements must be true?
yan [13]

Answer:

C

Step-by-step explanation:

I am pretty sure but get another answer just to be sure.

7 0
2 years ago
Does the following equation determine y to be a function of x? y square=x+3
Phantasy [73]

Answer:

∴ y² = x + 3 is not a function

Step-by-step explanation:

* Lets explain how to solve the problem

- The definition of the function is every input (x) has only one

  output (y)

- Ex:

# y = x + 1 where x ∈ R , is a function because every x has only

  one value of y

# y² = x where x ∈ R , is not a function because y = ±√x, then one

  x has two values of y

* Lets solve the problem

∵ y² = x + 3

- Find y by taking √ for both sides

∴ y = ± √(x + 3)

- That means y = √(x + 3)  and y = - √(x + 3)

∵ (x + 3) must be greater than or equal zero because there is no

  square root for negative number

∴ x + 3 ≥ 0 ⇒ subtract 3 from both sides

∴ x ≥ -3

∴ x must be any number greater than or equal -3

- Let x = 0

∴ y = √(0 + 3) = √3 and y = - √(0 + 3) = -√3

∴ x = 0 has two values of y ⇒ y = √3 and y = -√3

- Any value of x greater than or equal 3 will have two values of y

∴ y² = x + 3 is not a function

5 0
3 years ago
Other questions:
  • What is the Answer)
    13·1 answer
  • Subtract 8+7i from 4-16i
    15·1 answer
  • 7n-1>-169 does anyone know this answer?
    6·2 answers
  • I NEED HELP ASAP PLZZZZZZ ANYONE!!!!!!!!
    10·1 answer
  • FIND THE SUM OF 20 TERMS OF THE ARITHMETIC SERIES IN WHICH 3rd TERM IS 7 AND 7th TERM IS 2 MORE THAN THREE TIMES ITS 3rd TERM
    9·1 answer
  • What is 60,000 + 3,000 + 20 + 9 in standard form?
    14·2 answers
  • What is the area of this quadrilateral?
    6·1 answer
  • given the side lengths of 6, 13, and 20, determine whether the triangle is acute , right , obtuse, or not a triangle.
    11·1 answer
  • Graph the equation (x - 3)^2 + (y - 2)^2 = 25 and y = 6.
    9·1 answer
  • The function The function p(t)=4+2(t−1) represents the number of people who can be seated at an event. The total of t tables are
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!