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
Rus_ich [418]
1 year ago
10

suppose that the lifetime of a transistor is a gamma random variable x with mean of 24 weeks and standard deviation of 12 weeks.

what is the probability that the transistor will last between 12 and 24 weeks?
Mathematics
2 answers:
Nikitich [7]1 year ago
8 0

Answer:

Step-by-step explanation:

0.424 is the probability that the transistor will last between 12 and 24 weeks.

X= lifetime of the transistor in weeks E(X)= 24 weeks

Standard deviation= 12 weeks

Finding the parameters alpha and beta X~gamma(αβ)

E(X)= αβ             β =6 weeks

V(x)=αβ^2           α =24/6= 4

Now we can find the solutions:

The excel formula used to create Figure one is as follows:

=gammadist(X,α,β,False)

P(12≤X≤24)

P(12/6≤G≤24/6)

P= 0.424

Therefore, probability that the transistor will last between 12 and 24 weeks is 0.424

To learn more about probability click here:

brainly.com/question/28944433

#SPJ4

emmainna [20.7K]1 year ago
4 0

The probability that the transistor will last between 12 and 24 weeks is 0.424

X= lifetime of the transistor in weeks E(X)= 24 weeks

O,= 12 weeks

The anticipated value, variance, and distribution of the random variable X were all provided to us. Finding the parameters alpha and beta is necessary before we can discover the solutions to the difficulties.

X~gamma(\alpha ,\beta)

E(X)= \alpha \beta                 \beta= 12^{2}/24=6 weeks

V(x)= \alpha \beta ^{2}                \alpha=24/6= 4

Now we can find the solutions:

The excel formula used to create Figure one is as follows:

=gammadist(X, \alpha, \beta, False)

P(12\leq X\leq 24)

P(12/6\leq G\leq 24/6)

P(2\leq G\leq 4)

P= 0.424

Therefore, probability that the transistor will last between 12 and 24 weeks is 0.424

To learn more about probability click here:

brainly.com/question/11234923

#SPJ4

You might be interested in
In the morning, the number of ducks at the reservoir was 80. By noon, the reservoir had 135 ducks. What was the percent of chang
Mekhanik [1.2K]

Answer:

60 percent

Step-by-step explanation:

number of ducks in morning=80

ducks in after noon=135

for percentage

80/135=0.5925=0.60

0.60*100=60 percent

4 0
2 years ago
Consider the following division of polynomials.
Bond [772]

x^4=x^2\cdot x^2. Multiplying the denominator by x^2 gives

x^2(x^2+2x+8)=x^4+2x^3+8x^2

Subtracting this from the numerator gives a remainder of

(x^4+x^3+7x^2-6x+8)-(x^4+2x^3+8x^2)=-x^3-x^2-6x+8

-x^3=-x\cdot x^2. Multiplying the denominator by -x gives

-x(x^2+2x+8)=-x^3-2x^2-8x

and subtracting this from the previous remainder gives a new remainder of

(-x^3-x^2-6x+8)-(-x^3-2x^2-8x)=x^2+2x+8

This last remainder is exactly the same as the denominator, so x^2+2x+8 divides through it exactly and leaves us with 1.

What we showed here is that

\dfrac{x^4+x^3+7x^2-6x+8}{x^2+2x+8}=x^2-\dfrac{x^3+x^2+6x-8}{x^2+2x+8}

=x^2-x+\dfrac{x^2+2x+8}{x^2+2x+8}

=x^2-x+1

and this last expression is the quotient.

To verify this solution, we can simply multiply this by the original denominator:

(x^2+2x+8)(x^2-x+1)=x^2(x^2-x+1)+2x(x^2-x+1)+8(x^2-x+1)

=(x^4-x^3+x^2)+(2x^3-2x^2+2x)+(8x^2-8x+8)

=x^4+x^3+7x^2-6x+8

which matches the original numerator.

3 0
2 years ago
Read 2 more answers
5,000 is invested at an interest rate of 8% compounded annually. how much is the investment return after 20 years?​
iren [92.7K]

Step-by-step explanation:

5k×8×20

_______ =800

100

6 0
2 years ago
Read 2 more answers
I need some help with my answer! Most helpful gets brainliest!
soldier1979 [14.2K]

If f(x) is given with points (0,5) and (4,3), it can be easily plotted in a coordinate system (see .jpeg image in attachment).If g(x) is a function defined by text:

Kyle started the summer having read 3 books but plans to read 6 books per month over the summer.Then, g(x) is given with:

g(x) = 6*x+3 (3 books read already, and 6 books will be read each month).h(x) is already given with:

h(x)=3*x+4

These all three functions are plotted in coordinate system and it can be seen that the lowest y-intercept has function g(x), and it is the value of 3 on y-axis. Others have 4 (h(x)) and 5 (f(x)).

5 0
3 years ago
There are 294 boys and 322 girls in the hill school. how many students are in the school.
lys-0071 [83]
I think it's 616 that what I got but I'm not sure
7 0
3 years ago
Other questions:
  • Four friends own a car wash. The total profit in the first month was $438. I two months, each if the friends had made a profit o
    7·1 answer
  • Emily begin piano practice at 3:25 she finished at 5:00 how long did she practice​
    8·1 answer
  • Help please ? Number 4
    12·1 answer
  • 2.4 +(-3.6)? Please answer quick I need help.
    12·2 answers
  • List A contains the numbers [20,10,30], while list B contains the numbers [10,30,20,40,30]. We choose one number from list A ran
    14·1 answer
  • Write the following as a complex number in the form a + bi square root -245
    13·2 answers
  • Later, Alexis is looking at a different set of coins: this time only dimes and nickels. She has twice as many nickels as dimes,
    6·1 answer
  • Which statement best reflects the solution(s) of the equation?
    12·1 answer
  • 300 + 300 :)<br> Simple question!
    14·2 answers
  • Need help on this I need all work shown as well, the subject is on similar triangles
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!