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
Drupady [299]
3 years ago
5

Resistors are labeled 100 Ω. In fact, the actual resistances are uniformly distributed on the interval (95, 103). Find the mean

resistance. Find the standard deviation of the resistances. Find the probability that the resistance is between 98 and 102 Ω. Suppose that resistances of different resistors are independent. What is the probability that three out of six resistors have resistances greater than 100 Ω?
Mathematics
1 answer:
Zinaida [17]3 years ago
5 0

Answer:

E[R] = 99 Ω

\sigma_R = 2.3094 Ω

P(98<R<102) = 0.5696

Step-by-step explanation:

The mean resistance is the average of edge values of interval.

Hence,

The mean resistance, E[R] = \frac{a+b}{2}  = \frac{95+103}{2} = \frac{198}{2} = 99 Ω

To find the standard deviation of resistance, we need to find variance first.

V(R) = \frac{(b-a)^2}{12} =\frac{(103-95)^2}{12} = 5.333

Hence,

The standard deviation of resistance, \sigma_R = \sqrt{V(R)} = \sqrt5.333 = 2.3094 Ω

To calculate the probability that resistance is between 98 Ω and 102 Ω, we need to find Normal Distributions.

z_1 = \frac{102-99}{2.3094} = 1.299

z_2 = \frac{98-99}{2.3094} = -0.433

From the Z-table, P(98<R<102) = 0.9032 - 0.3336 = 0.5696

You might be interested in
ANSWER THIS FAST PLS NO PHOTOS THOSE BLOCKED
Alexxx [7]
The answer is approximately 8.1
4 0
3 years ago
Read 2 more answers
6x+12 factorizar mediante a factor comun<br>​
Art [367]
6(x+2)
you just factor 6 from the expression
hope this helps
6 0
2 years ago
I need help with 0.97 of 1/10 of
Svetach [21]
Its .097. Just move the decimal

8 0
3 years ago
Which choice is appropriate simplified form and restriction for the variable (x+3)(x+7)/3x+21
bekas [8.4K]
C. I used the app math way. it has been a lifesaver.
4 0
3 years ago
2. A recipe calls for 2 1/3 cups of flour and 1/8 cup of baking soda "you are
Inga [223]

Answer:18.7 or 56/3 cup of flour

Step-by-step explanation:

The solution is in the attached file

5 0
2 years ago
Other questions:
  • Common Core Literacy
    14·1 answer
  • Solve the equations.<br> a. (x − 2)^2 = 9<br> b. 3(x − 2)^2 = 9<br> c. 6 = 24(x + 1)^2
    6·1 answer
  • 35 degrees + 90 degrees + k
    14·1 answer
  • A lady walks in the store and steals $100 bill from the register without the owners knowledge. she comes back 5 min. later and b
    14·2 answers
  • What is the property demonstrated by: (10+y)-16=10+(y-16)
    12·2 answers
  • PLEASE HELP IMAGE ATTACHED!!
    6·2 answers
  • 2. For the function f (x)=-457-1, find the inverse function. (1 point)
    9·1 answer
  • The equation for the line of best fit is y=2x+2.5. Soon, Edmond is going to a new fair. Use the equation for the line of best fi
    13·1 answer
  • Please help ASAP
    11·1 answer
  • Answer this question ASAP
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!