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
motikmotik
3 years ago
9

The manufacturer of an electronic device claims that the probability of the device failing during the warranty period is 0.005.

If 3000 of these devices are sold, the probability that at least 15 of them fail during the warranty period is closest to :_________
Mathematics
1 answer:
Zielflug [23.3K]3 years ago
7 0

Answer:

The  value is  P(X \ge  15) =  0.5

Step-by-step explanation:

From the question we are told that

    The probability of the device failing during the warranty period is p =  0.005

    The  sample size is  n = 3000

     The random variable  considered is  x  =  15

Generally this is distribution is binomial given the fact that there is only two out comes hence

      X  which is a variable representing a randomly selected selected electronic follows a binomial distribution i.e

     X  \~ \  B(n , p)

Now the mean is mathematically evaluated as

      \mu  =  n *  p

=>   \mu  = 3000 *  0.005

=>    \mu  =15

The standard deviation is mathematically represented as

      \sigma  =  \sqrt{np(1 -p )}

=>  \sigma  =  \sqrt{3000 *  0.005 * (1 - 0.005 )}

=>   \sigma  =  3.86

Now given that n is very large, then it mean that we can successfully apply normal approximation on this  binomial distribution

So

    P(X \ge  15) =  P( \frac{X - \mu}{\sigma }  \ge \frac{x - \mu}{\sigma } )

Now  applying  Continuity Correction we have

   P(X \ge  (15-0.5)) =  P( \frac{X - \mu}{\sigma }  > \frac{(15 -0.5) - 15}{3.86 } )

Generally  \frac{X - \mu}{\sigma }   =  Z (The \ standardized \ value  \ of  \ X)

    P(X \ge  (15-0.5)) =  P(Z >-0.130 )

From the z-table  

       P(Z >-0.130 )  =0.5

Thus  

    P(X \ge  15) =  0.5

 

   

You might be interested in
Help please! I will give tons of points.
alekssr [168]

Answer:

c

Step-by-step explanation:

i remember getting this in my maths exam so i hope its correct

6 0
3 years ago
Can someone please help me with this question
max2010maxim [7]

Answer:

I'll give you the answers for 1 - 5: 1). 24,   2).19,   3)10,   4)13,   5)-17

Step-by-step explanation:

You simply substitute the corresponding values for the corresponding function:

f(6) if f(x) = 4x so, f(6) = 4(6) = 24

Another example:

f(5) if f(x) = 3x - 2 so, f(5) = 3(5) - 2 = 15 - 2 = 13

5 0
3 years ago
What is the value of the expression 2^2+6^2÷2^2​
Studentka2010 [4]

Answer:

13

Step-by-step explanation:

2^{2} + 6^{2} / 2^{2} = 4+ 36/4 = 4 +9 = 13

0r

4 + (6/2)^2 = 4+ 3^2 = 4+9 = 13

3 0
2 years ago
Four times the sum of a number and 15 is at least 120 let x represent the number
Dvinal [7]

Answer:

x <u>></u> 15

Step-by-step explanation:

4(x + 15) <u>></u> 120

Divide by 4

x + 15 <u>></u> 30

Subtract 15

x <u>></u> 15

3 0
3 years ago
Read 2 more answers
Need help with questions 3
Rudik [331]

Answer:

Step-by-step explanation:

B

8 0
3 years ago
Read 2 more answers
Other questions:
  • 3. Carl is swimming 6 feet UNDER the water and Candice is standing on a dock 10
    6·2 answers
  • Help please. i am confused
    11·1 answer
  • I'm confused. Help. Find x please.
    6·1 answer
  • The length of a rectangle is 4 times the width. The rectangle width is 8 m what is the area of the rectangle
    9·1 answer
  • Find x in the equation, 4(3x+1)=28
    9·1 answer
  • Anyone help me with this please:)
    12·1 answer
  • PLEASE HELPP ITS QUIZ: if the product 2x+1 and 3x-4 were placed in ax^2+bx+c form, what would the value of a+b+c equal? FULL EXP
    15·1 answer
  • THIS IS VERY IMPORTANT I WILL GIVE BRAINLIEST TO THE PERSON WHO DOES ALL 4 QUESTIONS FOR ME.
    5·1 answer
  • look at pic 10 pts will mark brainilest hhhionnia
    12·1 answer
  • <img src="https://tex.z-dn.net/?f=4%20%20%20%7B%7D%5E%7Bx%20%7D%20%20%2B%206%20%7B%7D%5E%7Bx%7D%20%3D%209%20%7B%7D%5E%7Bx%7D%20%
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!