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
Nadusha1986 [10]
3 years ago
14

An assembly consists of two mechanical components. Suppose that the probabilities that the first and second components meet spec

ifications are 0.98 and 0.85. Assume that the components are independent. Determine the probability mass function of the number of components in the assembly that meet specifications. X = number of components that meet specifications.
Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
4 0

Answer:

The probability mass function is given by

P(X = 0) = 0.003, P(X = 1) = 0.164, P(X = 2) = 0.833

Step-by-step explanation:

Given to us are two mechanical components.

The probability of the first component meeting the given specifications are 0.98.

The probability that the second component meets the given specifications  = 0.85.

In the information given the components are said to be independent.

The probability mass function will be calculated in the following way

i.) P(X=0) which is the probability that neither of the components meet the specifications.

ii) P(X=1) which is the probability when either of the components will meet the specifications and the other will not.

iii) P(X=2) which is the probability that both components meet the specification.

Therefore P(X = 0) = ( 1 - 0.98) × ( 1 - 0.85)  = 0.02 × 0.15  = 0.003

and,          P(X = 1)  =    (0.98 × ( 1 - 0.85)) + (( 1 - 0.98) × 0.85)

                              =   (0.98 × 0.15) + (0.02 × 0.85)

                              =   0.147 + 0.017

                              = 0.164

and finally, P(X=2) = (0.98 × 0.85)

                              = 0.833

You might be interested in
Describe what you normally do on Sunday​
saul85 [17]
Nothing just lay in bed all day on my phone-
6 0
3 years ago
Read 2 more answers
9÷3,746 what's the answer? can u help?​
worty [1.4K]

Answer:

The answer is 0.00240256273

4 0
2 years ago
Use the net to find the surface area of the regular pyramid. 
valina [46]
Area=(1/2)bh
given
b=10
h=9
aera=(1/2)9*10=45
3 triangles+base=
45*3+43.3=
135+43.3=
178.3 mm^2
6 0
3 years ago
Find the value of 6 to the pwer of 3
Neko [114]

6^3 = 6 x 6 x 6 = 216

4 0
2 years ago
5(a + b) when a = 1 and b =6
Paha777 [63]

Answer:

35

Step-by-step explanation:

use distributive property

5a + 5b

5×1 + 5×6

5 + 30

35

3 0
2 years ago
Read 2 more answers
Other questions:
  • Which expression calculates the time in hours an object takes to travel 38 miles at a speed of 2 m/hm/h ?
    13·1 answer
  • Can someone please help
    15·1 answer
  • Write -33/12 as a mixed number in reduced form.
    12·2 answers
  • You went to the store to buy school supplies. It costs $5 to buy a notebook and $3 to buy a pen. If you have $50 to spend, then
    12·1 answer
  • Which of the following choices evaluates -2x2 +4, when x=-2?
    11·1 answer
  • A line that contains the point (-8,-1) and is perpendicular to -15x +3y = 9
    8·1 answer
  • Solve the story problem by working backwards. *
    10·1 answer
  • Subtract and simplify. 12 3\8 − 9 1\8 =
    8·2 answers
  • 20 POINTS+BRAINLIEST 8TH GRADE MATH PART 4: Imaginary operations- please explain how you came to the answer because this doesn't
    8·2 answers
  • When a constant force acts upon an object, the acceleration of the object varies inversely with its mass. When a certain constan
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!