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
77julia77 [94]
3 years ago
5

Explain the level of uncertainties involve in concept of probability. The next generation of miniaturized wireless capsules with

active locomotion will require two miniature electric motors to maneuver each capsule. Suppose 10 motors have been fabricated but that, in spite of tests performed on the individual motors, 2 will not operate satisfactorily, when placed into a capsule. To fabricate a new capsule, 2 motors will be randomly selected, find the probability that: (i) Both motors will operate satisfactorily in the capsule. (ii) One motor will operate satisfactorily and the other will not.
Mathematics
1 answer:
RUDIKE [14]3 years ago
3 0

Answer:

a) the probability that Both motors will operate satisfactorily in the capsule 0.6222

b) the probability that One motor will operate satisfactorily and the other will not is 0.3556

Step-by-step explanation:

Given that;

total number of motors N = 10

number of motors will not operate satisfactory m = 2

number of motors randomly selected n = 2

let X be number of motors will that will not operate successfully

here, X≅Hyper geometric (x; N,n,m)

The probability mass function of x is;

P (X = x)=  { m }   {N - m }

                  {x }    {n - x}

        ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

                     { N }

                     { n  }

a)

the probability that both motors will operate satisfactorily in the capsule i.e no motor will not operate satisfactory

so

P(X= 0)  = { 2 }    { 10 - 2 }

                 {0 }    { 2 - 0}

        ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

                     { 10 }

                     { 2  }

so

P (X = 0)  = { 2 }   { 8}

              {  0 }   { 2  }

        ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

                     { 10 }

                     { 2  }

p(P= 0)=1×28 / 45 = 28/45 = 0.6222

Therefore the probability that Both motors will operate satisfactorily in the capsule 0.6222

b)

the probability that one motor will operate satisfactorily and the other will not.

P(X=1)  = { 2 }   { 10 - 2 }

              {  1 }    { 2 - 1  }

        ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

                     { 10 }

                     { 2  }

so

P(X=1)  = { 2 }   { 8 }

              {  1 }   { 1  }

        ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

                     { 10 }

                     { 2  }

P(X=1)  = 2×8 / 45 = 16/45 = 0.3556

Therefore the probability that One motor will operate satisfactorily and the other will not is 0.3556

You might be interested in
Samuel has 9 whole pizzas. Marina has 18 slices that are each 1/2 of a pizza does Marina have more?
klio [65]
18 slices that are half’s
1/2*18= 9
meaning there are 9 whole slices
No, Marina does not have more since Samuel has the whole pie.
3 0
3 years ago
Read 2 more answers
How many solutions does 4(x-5)+2=4x—18 have??
baherus [9]
Only one. These problems always have one solution unless something has changed.
4 0
3 years ago
Ace please help plsss​
Ivanshal [37]

Answer:

B

Step-by-step explanation:

I Think I Got It Right But This Is From A LONG time ago

3 0
2 years ago
Read 2 more answers
It’s not 0.615 , or 0.75 or the one shown in the picture
Dafna1 [17]
2.40714

1) Let's evaluate that expression, given that a=4.9, b=-7, and c=-0.5

\begin{gathered} a^3\div b^2+c^3 \\ (4.9)^3\div(-7)^2+(-0.5)^3= \\ \frac{4.9^3}{\left(-7\right)^2+\left(-0.5\right)^3} \\  \\ \frac{4.9^3}{48.875} \\  \\ \frac{117.649}{48.875} \\  \\ 2.40714 \end{gathered}

Note that we have rewritten it as a fraction so that we can easily operate. Also, we have applied here the PEMDAS order of operations, prioritizing the exponents.

6 0
1 year ago
−7y−4x=1 ​7y−2x=53 Solve the system of equations​​
Reptile [31]
-7y-4x=17y-2x=53
-4x=24y-2x=53
-2x=24y=53
24y+2x=53

You would have to solve one at a time.
y=53/24 
y=2.21
x=53/2
x=26.5
3 0
3 years ago
Other questions:
  • a motorboat can maintain a constant speed of 29 miles per hour relative to the water. the boat makes a trip upstream to a certai
    5·1 answer
  • An alloy of tin is 15% tin and weighs 20 pounds. A second alloy is 10% tin. How many pounds of the second alloy must be added to
    13·2 answers
  • Please help me on number 2
    10·1 answer
  • Someone please help me if you can!
    12·2 answers
  • The word product mean Multiplication
    10·2 answers
  • A ramp with a one meter distance from edge to edge reaches a height of 0.643 meters. What is the value of the acute angle?
    5·1 answer
  • My dad left to get milk I think I lost him can y help me find him
    15·2 answers
  • The problem is a word problem: The sum of two consecutive odd numbers is 72. find the numbers​
    11·1 answer
  • The graph shows a linear function.
    9·1 answer
  • Peter was told by his teacher that he needed to measure the height of the building in which his classroom was located. He backs
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!