32 thousand 1 hundred 4 ones times 10

Computers require fans to keep them from overheating. Let T be the random variable representing the lifetime of a particular mak

ikadub [295]

Answer:

a) 4.98% of computer fans which will give at least 10,000 hours of service.

b) 3.02% of computer fans which would give at least 10,000 hours of service, that is, fewer fans living for at least 10,000 hours.

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X < x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X < x) = 1 - e^{-\mu x}$

In this problem, we have that:

$\mu = \lambda = 0.0003$

(a) Find the proportion of computer fans which will give at least 10,000 hours of service.

Either it gives less 10,000 hours of service, or it gives at least 10,000. The sum of the probabilities of these events is decimal 1. So

$P(X < 10000) + P(X \geq 10000) = 1$

We want $P(X \geq 10000)$ . So

$P(X \geq 10000) = 1 - P(X < 10000)$

$P(X < 10000) = 1 - e^{-0.0003*10000} = 0.9502$

$P(X \geq 10000) = 1 - 0.9502 = 0.0498$

4.98% of computer fans which will give at least 10,000 hours of service.

(b) If the fan is redesigned so that exponential lifetime distribution now has parameter λ = 0.00035, would you expect more fans or fewer fans to live for at least 10,000 hours?

Now $\mu = \lambda = 0.00035$

$P(X \geq 10000) = 1 - P(X < 10000)$

$P(X < 10000) = 1 - e^{-0.00035*10000} = 0.9698$

$P(X \geq 10000) = 1 - 0.9698 = 0.0302$

3.02% of computer fans which would give at least 10,000 hours of service, that is, fewer fans living for at least 10,000 hours.

6 0

4 years ago

What is the relationship between polar coordinates, vectors, complex numbers

Leno4ka [110]

Answer:

Answer: There is also a connection between multiplication of complex numbers and polar coordinates. As usual, polar coordinates of a point ( x , y ) in the plane are defined as ( r , θ ) where r is the length of the vector ( x , y ) and θ is the angle this vector makes with the positive x axis.

hope this helps

Step-by-step explanation:

4 0

3 years ago

If a crew of 4 workers complete the job in 10 hours, how long will it take 5 workers to complete the same job?

Ulleksa [173]

We can solve using proportions
$\frac{4}{10} = \frac{5}{x}$
or 4 works is to 10 hours as 5 workers is to x hours.
to solve we cross multiply to get
$4x = 50 \\ x = \frac{50}{4}$
so it will take 5 men 12.5 hours!

6 0

3 years ago

Please teach me how to do this question..tq

nikitadnepr [17]

Answer:

Emilia bought 28 sweets

Step-by-step explanation:

now they have 65, but before they had 65-15+10 because earlier, zakiah had ten more sweets than now and Emilia had 15 less, so basically, if you wanna calculate number of sweets they had earlier, you have to make minus from plus and in reverse too.

65-15+10=60 and now just do that simply ratio

E:Z=7:8

E+Z=7x+8x

60=15x

4=x

7x=28=Emilia

8x=32=Zakiah

Accuracy test:

(28+15)+(32-10)=65

28 is 4•7 and 32 is 4•8

3 0

4 years ago

USE THE CLUES TO CRACK THE CODE

elena55 [62]

Answer:

Is the answer 0.244? Not sure whether you are asking for help or asking for others to do.

3 0

3 years ago