The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 10 minutes. (a) What is the probability that you wait longer than one hour for a taxi? (b) Suppose that you have already been waiting for one hour for a taxi. What is the probability that one arrives within next 10 minutes? (c) Determine xx such that the probability that you wait more than xx minutes is 0.10. (d) Determine xx such that the probability that you wait less than xx minutes is 0.90. (e) Determine xx such that the probability that you wait less than xx minutes is 0.50

Answers

Answer 1

Answer: a)0.025 b)0.63 c)23 d)1.053 e)6.93

Step-by-step explanation:

E(x)= 10

It is a continuous random variable, so calculating for ✓, we have

10=E(x)1/✓

✓=1/10=0.1

1)P(x>60)=1-F(60)=e^0.1x60=0.0025

2) Employing lack of memory property, we have, P(X<70|X>60)=P(X<10)= F(10)=1-e^-0.1x10= 0.63

3) for 0.1, x= -1/0.1 ln0.1= 23

4) for 0.9, x= -1/0.1 ln 0.9= 1.053

5) for 0.5, x -1/0.1 ln 0.5= 6.3


Related Questions

If the radius of the circle is 5 inches, what is the diameter?

10 inches
5 inches
25 inches
2.5 inches

Answers

10 inches because diameter is double the radius

Answer:

10 Inches

Step-by-step explanation:

Remember the radius is always half the diameter. So, r * 2 = d. Plug those in...

5 * 2 = 10.

Therefore, the answer is 10 inches.

What are the 2 points on the graph? Choose 2.

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Answer:   (0,-1) (4,4)

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Answer:

The top one is (-4,4)

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Answers

Answer:

1. {1/20} 2. {7/36} 3. {1/2} 4. {8/21} 5. {4/15}

6.{1/6} 7.{ 20} 8. {15} 9. {1.2} 10. {1.25}

Step-by-step explanation:

2 Review Homework 2.2.4 Question Help A town has accumulated 5 inches of snow, and the snow depth is increasing by 5 inches every hour. A nearby town has accumulated 7 inches, and the depth is increasing by 2 inches every hour. In about how many hours will the snowfall of the towns be equal?​

Answers

Answer:

You need to find the equations for each scenario and set them = to each other

Step-by-step explanation:

A) S = 5t + 5

B) S = 7t + 2

Now set them = and solve for t

5t + 5 = 7t + 2

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To check plug in 3/2 into both equations and you should get same answer.

Hope this helps and never stop striving to learn more!

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Answers

Answer: 120kg

Step-by-step explanation:

100 items x 1.2kg

100 x 1.2 = 120

Answer:

120 I think

Step-by-step explanation: I hope this helps

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Answers

733 porque puedes dividir 712 why 702 entre 2 why puedes dividir 725 entre 5.

You spend $38.50 on 7 movie tickets. What is the cost for 1 ticket?

Answers

Answer:

$5.50

Step-by-step explanation:

If 115% of a number is 460, what is 75% of that number?

Answers

Answer:

300

Step-by-step explanation:

Step 1:

460/115 = x/75         Equation

Step 2:

115x = 34,500       Multiply

Step 3:

x = 34,500 ÷ 115         Divide

Answer:

x = 300

Hope This Helps :)

When
When 7 is subtract from three times a certain number the result is 28 what is the number

Answers

Answer:

x=49

Step-by-step explanation:

you replace the unknown with a variable (x)

you subtract 7 three times, so it x-7-7-7=28 or x-21=28

you add 21 to both sides, then you get x=49

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Answers

Answer:

the blue line

Step-by-step explanation:

Answer:

Step-by-step explanation:himxbe

Stonebridge neighborhood garage sale had these cash receipts for 5 days: $136.97, $256.21, $366.10, $176.04, $72.49. What were the total cash receipts?

Answers

Answer:

5039.05

Step-by-step explanation:

Add everything and then multiply by 5

Answer:

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Step-by-step explanation:

If q(x)=4/5x-9, find the value of x so that the function has the given value of q(x)=3

Answers

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Step-by-step explanation:

1) Set q(x) = 3 in the equation.

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2) Add 9 to both sides.

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7.82 change the decimals to fractions reduced to lowest terms.​

Answers

Answer:

7.82 = 391

50

= 741

50

as a fraction

To convert the decimal 7.82 to a fraction, just follow these steps:

Step 1: Write down the number as a fraction of one:

7.82 = 7.82

1

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100. So,

7.82

1

= (7.82 × 100)

(1 × 100)

= 782

100

.

Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(782,100) = 2. So,

(782÷2)

(100÷2)

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50

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100

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

the answer is +2

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Answers

Answer:

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Step-by-step explanation:

hope it helps pls mark as brainliest

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Calculator

To estimate the mean number of text messages sent by cell-phone users, a researcher chooses a location on a college campus in the city and surveys the first 50 people who walk past. These subjects are asked how many text messages they have sent in the past 24 hours. Is it likely that bias will be present in the sample?

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B) Because this is a convenience sample of college students, it is likely that bias is present and that the results will overestimate the mean number of text messages sent.
C) Because this is a convenience sample of college students, it is likely that bias is present and that the results will underestimate the mean number of text messages sent.
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Answers

Answer:

WARNING! C IS INCORRECT 2021.

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ED2021

asdgyuagsdyagdyausdasdas

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3 4 )!/‘( yh fb Hv eisho cousin

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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