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
Marrrta [24]
2 years ago
14

There are three workstations available having steady-state probabilities of 0.99, 0.95, 0.85 of being available on demand. What

is the probability that at least two of the three will be available at any given time?
Mathematics
1 answer:
faust18 [17]2 years ago
3 0

Answer:

99.065% probability that at least two of the three will be available at any given time.

Step-by-step explanation:

We have these following probabilities:

99% probability of the first workstation being available

95% probability of the second workstation being available

85% probability of the third workstation being avaiable

Two being available:

We can have three outcomes

First and second available, third not. So

0.99*0.95*0.15 = 0.141075

First and third available, second not. So

0.99*0.05*0.85 = 0.042075

Second and third available, first not. So

0.01*0.95*0.85 = 0.008075

Adding them all

P(2) = 0.141075 + 0.042075 + 0.008075 = 0.191225

Three being available:

P(3) = 0.99*0.95*0.85 = 0.799425

What is the probability that at least two of the three will be available at any given time?

P = P(2) + P(3) = 0.191225 + 0.799425 = 0.99065

99.065% probability that at least two of the three will be available at any given time.

You might be interested in
At the city museum, child admission is $5.60 and adult admission is $9.30. On Sunday, 141 tickets were sold for a total sales of
IrinaK [193]

x = child tickets

y = adult tickets

x + y = 141

5.60x + 9.30y = 974.60

y = 141 - x

5.60x + 9.30 ( 141 - x ) = 974.60

5.60x + 1311.3 - 9.30x = 974.60

-3.70x + 1311.3 = 974.60

-3.70x = 974.60 - 1311.3

-3.70x = -336.7

x = 91

91 child tickets were sold that day

5 0
1 year ago
Read 2 more answers
What is the domain of the function y = 2 VX-5?
tresset_1 [31]

Answer:

<em>R</em>

Step-by-step explanation:

All linear functions have a range and domain of R [ALL REAL NUMBERS].

I am joyous to assist you anytime.

3 0
3 years ago
Convert 32 ounces to pounds
Triss [41]

Answer: 2 pounds

Step-by-step explanation: There are 16 ounces in one pound. So when you divide 32 by 16, you get 2. Therefore your answer would be 2 pounds!

4 0
3 years ago
Read 2 more answers
a washer and a dryer cost $640 combined. the washer cost $60 less than the dryer . what is the cost of the dryer?
Delvig [45]

Answer:

380

Step-by-step explanation:

640/2=320

320-60=260

640-260=380

5 0
3 years ago
Read 2 more answers
Jennifer is leasing a car from a local auto retailer. The terms of the lease include a 9% interest rate for 36 months with a res
katrin [286]
1. The problem gives the residual value in percentage, and you need it in dollars. So, if the MSRP for the car Jennifer is leasing is $ 17,500, you have:

 57%/100=0.57

 residual value=$17,500*0.57= $9,975

 2. Then, you need to substract the residual value and the lease term, to calculate the value of the car, as below:

 car value=$17,500-$9,975=$7,525

 3. You need to calculate the money factor, which is the interest rate divided by 2400. Then, you have:

 Interest rate=9%/100=0.09

 Money factor=0.09x2400
 Money factor=0.00375

 4. The interest is:

 I=($17,500+$9,975)(0.00375)
 I=$103.03

 5. Therefore, the monthly payment is:

 Monthly payment=(car value/36 months)+Interest
 Monthly payment=($7,525/36)+$103.03
 Monthly payment=$209.02+$103.03
 Monthly payment=$312.06

 What will Jennifer’s monthly lease payment be?

 The answer is: d. $312.06
6 0
2 years ago
Read 2 more answers
Other questions:
  • A rectangle has a length of 2x +3 and a width of x + 1 (as shown below). Find the perimeter of the rectangle.
    11·1 answer
  • Find the missing length to the nearest ten
    7·1 answer
  • What is the correct mean and mad absolute deviation?\<br> Of the problem 33,90,99,87,78,67
    7·1 answer
  • a new seporter at a family amusement park ask 10th person exiting the park about their experience at the park​
    7·1 answer
  • Which linear equation represents a non-proportional relationship? A) y = 10x B) y = 0.75x C) y = −x D) y = 0.25x + 2
    15·2 answers
  • Leon has a gift card for $100. He spent $65 of it on books. What is the new balance in Leon's card?
    11·1 answer
  • You are a volunteer at a physical therapy clinic. A set of stairs you use to help patients is shown with its dimensions. What is
    10·1 answer
  • How many 10ths equivalent to 3/5
    14·1 answer
  • 86.934 rounded to 2 significant figure
    10·2 answers
  • 32 divided by 11 is it two or 10 Please help me
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!