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
Marizza181 [45]
3 years ago
10

Let X = the time between two successive arrivals at the drive-up window of a local bank. If X has an exponential distribution wi

th λ = 1, (which is identical to a standard gamma distribution with α = 1), compute the following. (a) The expected time between two successive arrivals
(b) The standard deviation of the time between successive arrivals
(c) P(X ? 1)
(d) P(2 ? X ? 5)
Mathematics
1 answer:
LuckyWell [14K]3 years ago
4 0

Answer:

a) E(X)=1

b) σ=1

c) P(X>1)=0.368

d) P(2<X<5)=0.128

Step-by-step explanation:

We have X: "the time between two successive arrivals at the drive-up window of a local bank", exponentially distributed with λ = 1.

a) We have to compute the expected time between two successive arrivals.

The expected value for X as it is exponentially distributed is:

E(X)=\dfrac{1}{\lambda}=\dfrac{1}{1}=1

b) We have to compute the standard deviation of X.

The standard deviation is calculated as:

\sigma=\dfrac{1}{\lambda}=\dfrac{1}{1}=1

c) The probability that X is larger than 1 (P(X>1))

We can express the probability as:

P(X>t)=e^{-\lambda t}\\\\P(X>1)=e^{-\lambda\cdot 1}=e^{-1}=0.368

d) The probability that X is between 2 and 5 (P(2<X<5))

P(X>t)=e^{-\lambda t}\\\\\\P(25)\\\\P(2

You might be interested in
These box plots show daily low temperatures for a sample of days in two
9966 [12]

Answer:

<u>B. The interquartile range (IQR) for town A, 20, is greater than the</u>

<u>IQR for town B, 10.</u>

Step-by-step explanation:

IQR = Q₃ - Q₁

For the town A:

Q₃ = 40  and Q₁ = 20

IQR of town A = 40 - 20 = 20

For the town B:

Q₃ = 30   and Q₁ = 20

IQR of town A = 30 - 20 = 10

Check the given options:

The most statement is appropriate comparison of the spreads is B

<u>B. The interquartile range (IQR) for town A, 20, is greater than the</u>

<u>IQR for town B, 10.</u>

<u />

6 0
3 years ago
What is:
RSB [31]

Answer:

0

Step-by-step explanation:

Anything times 0 is 0.

7 0
3 years ago
3x x (7 x x) i don’t get this at all
Zielflug [23.3K]
3x +7x+x+x should be your answer
4 0
3 years ago
Read 2 more answers
the perimeter of a rectangular picture frame is 32 in the length of the frame is 2 inches longer than the width what are the dim
stich3 [128]

Answer:

the length is 9 in. and the width is 7 in.

Step-by-step explanation:

this is hard to explain but i promise that this is the correct answer.

7 0
3 years ago
Which of the following terms from this unit allows you to prove parts of two triangles are congruent when you know that the pair
garri49 [273]
I believe it is
B. CPCTC
5 0
3 years ago
Other questions:
  • Sally goes out to lunch and has the option of a soup or a salad and then a turkey, ham, or club sandwich. Which tree diagram cor
    8·2 answers
  • What is the slope of a line containing the points (12, 6) and (3, -5)?
    7·1 answer
  • Expand<br>Your answer should be a polynomial in standard form<br>(<br>+1)(2-6)​
    11·2 answers
  • Person 1 can do a certain job in 21 minutes, and person 2 can do the same job in 28 minuets. When completing the job together, w
    8·1 answer
  • Identify the property’s that justifies the statement: If 4x-3=7, then 4x=10
    8·1 answer
  • In the image, point A marks the center of the circle.
    11·2 answers
  • If f(x) = 4x + 2, what is the value of f(3)? <br><br> O 8<br> O 14<br> O 45<br> O 66
    5·1 answer
  • I’ll give you a cookie if you help me lol
    15·2 answers
  • Solve the system substitution y= 4x + 1 and 3x+2y =13
    15·1 answer
  • What is the solution of x+8=13
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!