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
C. y<br> D. y&lt;3x+2 <br><br> PLEASE ANSWER ASPAP!
Temka [501]

Answer: A

Step-by-step explanation:

5 0
3 years ago
Please help me. Give me the Answers to question 18. and show your work.
dybincka [34]

Answer:

mark brainlyest and I will answer

6 0
3 years ago
4 divided by square root of 2
Vikki [24]
4 divided by the square root of 2 is

2.82842712475
7 0
3 years ago
Determine the equation of the circle graphed below.
myrzilka [38]

Answer:

=  >  {x}^{2}  +  {y}^{2}  + 6x - 14y + 49 = 0

Step-by-step explanation:

From the graph we can see that

Diameter = 6 units

=> Radius = 3 units and centre is at (-3,7)

=> Equation is Circle with centre (-3,7) and radius of 3 units will be

=  >  {(x + 3)}^{2}  +  {(y - 7)}^{2}  =  {3}^{2}

=  > ( {x}^{2}  + 6x + 9) + ( {y}^{2}  - 14y + 49) = 9

=  >  {x}^{2}  +  {y}^{2}  + 6x - 14y + 49 = 0

4 0
3 years ago
If c=8, what is the value of 4c+(4-3)
kvv77 [185]
The answer is 33

Explanation
4c+(4-3)
C=8
Substitution
4x8+4-3
Calculate
4x8+4-3
32+4-3
Which equal 33 that’s how I got the answer
3 0
3 years ago
Read 2 more answers
Other questions:
  • Lisa, an experienced shipping clerk can fill an order in 9 hours. Felipe a clerk needs 11 hours to do the same job. Working toge
    13·1 answer
  • What is a fraction of 10\3
    13·2 answers
  • What is Bernoulli theore?????​
    10·2 answers
  • Estimate then find the quotient 4.185 divides by 0.93
    6·2 answers
  • 1.This figure shows circle O with chords AC and BD . ​ mAB=34∘ mCD=34∘ AP=6 m ​ PC=8 m What is BD ? Enter your answer in
    6·1 answer
  • speed in pages per minute ppm for for printers are 7.105 ppm, 7.221 ppm, 7.4 ppm, and 7.08 ppm. which shows the fastest printer
    10·1 answer
  • A rectangle prism has length 12 centimeters and width 4 centimeters. If its surface area is 467 square centimeters, what is the
    9·1 answer
  • Quadrilateral GABE is a square.
    8·1 answer
  • Find the rate of change for the situation. You run 14 miles in two hours and 28 miles in four hours.
    7·1 answer
  • Which numbers are irrational? √16 √100 √53 √26​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!