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
Inessa05 [86]
3 years ago
8

The length of time for one individual to be served at a cafeteria is a random variable having an exponential distribution with a

mean of 77 minutes. What is the probability that a person is served in less than 22 minutes on at least 55 of the next 77 ​days?
Mathematics
1 answer:
umka2103 [35]3 years ago
5 0

Answer:

0.01265

Step-by-step explanation:

Since, if the time to be served has an exponential distribution with a mean of 7, then

P(T < t_0) = 1 - e^{-\frac{t_0}{7}}

Chance to be served in under 2 minutes:

P(T

Let A represents the number of days when a person is served in less than 2 minutes,

Hence,

the probability that a person is served in less than 2 minutes on at least 5 of the next 7 ​days ( using binomial distribution )

= P(A=5) + P(A=6) + P(A=7)

=^7C_5(0.249)^5(1-0.249)^2+^7C_6(0.249)^6(1-0.249)^1+^7C_7(0.249)^7(1-0.249)^0

=\frac{7!}{2!5!}(0.249)^5(1-0.249)^2+\frac{7!}{1!6!}(0.249)^6(1-0.249)^1+\frac{7!}{0!7!}(0.249)^7(1-0.249)^0

≈ 0.01265

You might be interested in
Solve the following equation algebraically: 3 x squared = 375 a. x almost-equals 49 b. x almost-equals plus-or-minus 49 c. x alm
d1i1m1o1n [39]
3x^2=375
x^2=125
x=11.18

c or d, they say the same thing
4 0
3 years ago
How many groups of 2/3 are in 3/5
amid [387]

To find the answer, we will need to divide 3/5 by 2/3.

3/5 / 2/3

3/5 x 3/2

9 / 10

There are 9/10 groups of 2/3 in 3/5.

Hope this helps!! :)

5 0
2 years ago
∠abc measures 115° and ∠dbc measures 70°. What is the measurement of ∠abd?
olasank [31]

Answer:

45 °

Step-by-step explanation:

m< ABC = m< DBC + m< ABD

= 115 _ 70

= 45 °

3 0
3 years ago
Find the mean, median, mode, and range of the data below:
Inga [223]

Answer:

6.75

Step-by-step explanation:

Find the mean of the set {2,5,5,6,8,8,9,11} .

There are 8 numbers in the set. Add them all, and then divide by 8 .

2 + 5 + 5 + 6 + 8 + 8 + 9 + 118=548=6.75

3 0
3 years ago
Pls help me guys, I’d really appreciate it
trapecia [35]

Answer:

∠ PQR = 70°

Step-by-step explanation:

The tangent- tangent angle PQR is half the difference of the intercepted arcs.

minor arc PR = 360° - 250° = 110°

Then

∠ PQR = \frac{1}{2} (250 - 110)° = \frac{1}{2} × 140° = 70°

8 0
3 years ago
Other questions:
  • Using the graph, find the value of y when x = 7. (image down below)
    9·1 answer
  • 4/9x + 1/5x =58 need help solving this
    6·1 answer
  • 4. An amusement park developed a program for local fifth grade students to study the
    10·1 answer
  • Please help I will mark brainliist
    10·1 answer
  • What fraction of a circle is 80°?​
    5·2 answers
  • Is √24 a rational number
    5·2 answers
  • Hey guys who is going to watch the stream awards on utube
    9·2 answers
  • A group of 13 friends were planning a trip. On the night before they left they made a lot of phone calls. Each friend talked to
    9·1 answer
  • What is a value of this​
    6·1 answer
  • what is the slope of the line that passes through the points (9, 5) and (21, -5) in the simplest form​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!