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
Harrizon [31]
3 years ago
12

16. From past experience, a company has found that in cartons of transistors, 92% contain no defective transistors, 3% contain o

ne defective transistor, 3% contain two defective transistors, and 2% contain three defective transistors. Find the mean, variance, and standard deviation for the defective transistors.
Mathematics
2 answers:
Lynna [10]3 years ago
8 0

Answer:

E(x)=0.15

V(x)=0.3075

S(x)=0.5545

Step-by-step explanation:

The mean of a discrete variable is calculated as:

E(x)=x_1*p(x_1)+x_2*p(x_2)+...+x_n*p(n)

where x_1,x_2,...,x_n are the values that the variable can take and p(x_1),p(x_2),...,p(x_n) are their respective probabilities.

So, if we call x the number of defective transistors in cartons, we can calculate the mean E(x) as:

E(x)=(0*0.92)+(1*0.03)+(2*0.03)+(3*0.02)=0.15

Because there are 0 defective transistor with a probability of 0.92, 1 defective transistor with a probability of 0.03, 2 defective transistors with a probability of 0.03 and 3 defective transistors with a probability of 0.01.

At the same way, the variance V(x) is calculated as:

V(x)=E(x^2)-(E(x))^2

Where E(x^2)=x_1^2*p(x_1)+x_2^2*p(x_2)+...+x_n^2*p(n)

So, the variance V(x) is equal to:

E(x^2)=(0^2*0.92)+(1^2*0.03)+(2^2*0.03)+(3^2*0.02)=0.33\\V(x)=0.33-(0.15)^2\\V(x)=0.3075

Finally, the standard deviation is calculated as:

S(x)=\sqrt{V(x)} \\S(x)=\sqrt{0.3075} \\S(x)=0.5545

Lisa [10]3 years ago
5 0

Answer:

mean = 0.15

variance = 0.3075

standard deviation = 0.5707

Step-by-step explanation:

- See the attachment an fill in the cells with "bold" marked columns.

- Where mean = E(X)

                     E(X) = Sum ( Xi*P(Xi) )

                             = 0 + 0.03 + 0.06 + 0.06

                             = 0.15

- The variance = Var (X)

                     Var (X) = Sum ( X2*P(X) ) - E(X)^2

                                 = (0 + 0.03 + 0.12 + 0.18) - 0.15^2

                                 = 0.3075

- The standard deviation = S(X)

                     S(X) = √Var(X) = √0.3075 = 0.5707

You might be interested in
Four less that the quotient of six and two
san4es73 [151]
(6/2) - 4 would be your answer
3 0
3 years ago
Read 2 more answers
Evaluate the expression 2x +y for x=7and y=6
Andre45 [30]

Answer: 20

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
MATH-IXL , Look at the picture below to answer CORRECTLY. Only give me one right answer So i can mark yall as Brainliest!
Rom4ik [11]
The correct answer is 20 plz give me a like
8 0
3 years ago
Can somebody help me on this and if so please answer correctly​
mrs_skeptik [129]
The answer is A. Good luck man!! :)
4 0
3 years ago
Pls answer this . I need help
madreJ [45]

Answer:

The ans is -14 if you use desmos and start "finger counting" the slope of -3, y will equal -14 once it reaches (3,y)

3 0
2 years ago
Other questions:
  • What is 1/2×( 3y)(4z)
    9·1 answer
  • Separate the number 39 into two parts so that the number is 5 more than the second number. What are the numbers?
    13·1 answer
  • to buy the green and blue bikes would cost 1500$. to buy the green and red bikes would cost 750$. to buy all three bikes would c
    9·1 answer
  • 65.874 to one decimal place
    11·1 answer
  • 3 marker cost 5.79 which equation would help determine the cost of 13 markers
    10·1 answer
  • a bag contain 2 red balls and 2 black balls. what is the probability of picking out black ball out of the bag?
    14·2 answers
  • Ask questions slove for x 5(x-3)=15
    10·1 answer
  • Will give brainlest if correct, and 5 stars.<br><br> Solve for x
    5·2 answers
  • Identify the Minimum, First Quartile, Median, Third Quartile, and Maximum for the data.
    15·1 answer
  • The table shows x-values and y-values for a number pattern.
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!