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
steposvetlana [31]
2 years ago
7

One of your friends eats lunch in the cafeteria sometime between 12:00 P.M. And 12:30 P.M. Another friend eats lunch in the cafe

teria sometime between 12:15 P.M. And 12:45 P.M. Today you get to the cafeteria at 12:20 P.M. What is the probability that you have missed both friends in the cafeteria?.
Mathematics
1 answer:
Alenkasestr [34]2 years ago
4 0

Answer:

11.11% probability that you have missed both friends in the cafeteria

Step-by-step explanation:

We use the uniform probability distribution to solve this question, since each lunch duration is equally as likely.

Uniform distribution:

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

P(X \leq x) = \frac{x - a}{b-a}

Probability that you miss the first friend:

Somewhere between 12 and 12:30 pm, so his lunches are between 0 and 30 minutes, so a = 0, b = 30

You arrive at 12:20. So if his lunch is 20 or less minutes, you miss him.

P_{1} = P(X \leq 20) = \frac{20 - 0}{30 - 0} = 0.6667

Probability that you miss the second friend:

Somewhere between 12:15 and 12:45 pm, so his lunches are between 0 and 30 minutes, so a = 0, b = 30.

You arrive at 12:20. So if his lunch is 5 or less minutes, you miss him.

P_{2} = P(X \leq 20) = \frac{5 - 0}{30 - 0} = 0.1667

Probability that you miss both friends:

Missing the first friend and the second friend are independent events. So we multiply these probabilities.

p = P_{1}*P_{2} = 0.6667*0.1667 = 0.1111

11.11% probability that you have missed both friends in the cafeteria

You might be interested in
. The formula to find the surface area of a sphere is to take the radius of the sphere and square
fredd [130]
Wait. Let me catch up first.
5 0
3 years ago
A migrating bird flies 700 miles in 1414 hours. How many miles does it fly in 33 ​hours
Lisa [10]
In  1414 hours it covered 700 miles

In  1 hour it would have covered  (700/1414) mile

In 33 hours it will then cover :          700/1414  * 33 = 16.34

So in 33 hours it will cover ≈ 16.34 miles.
5 0
2 years ago
Which equation is true when n=1.2
enot [183]

Answer:

5+1.2=6.2

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Find the value of x. If​ necessary, write your answer in simplest radical form. 8 x 2
fenix001 [56]

Answer:

8 · 2 or 8x² or 8x2

Step-by-step explanation:

3 0
3 years ago
Jack was getting dressed in the dark and needed to get his socks. There were 18 pairs of socks in the drawer: 8 black pairs, 5 b
Scilla [17]
We know that there are total 18 socks, and 3 blue pair
P(picking pairs of blue sock)=
3/18 or 1/6
As a result, the probability that he will pick a pair of blue socks is 1/6. Hope it help!
3 0
3 years ago
Read 2 more answers
Other questions:
  • Which of the following can be used to find the volume of a rectangular prism with length 7.5 centimeters, width 2 centimeters, a
    10·1 answer
  • Find the zeros of polynomial functions and solve polynomials equations.<br> f(x)=2x^3+2x^2-4x
    5·1 answer
  • 2 7/8 + 6 1/6 =?plzz i need help!
    14·1 answer
  • The answer asap plz
    7·2 answers
  • A researcher analyzed the results of her data and calculated the standard deviation of scores at 3.5. what is the variance? 7.00
    15·1 answer
  • Describe two different ways to solve -10=1/4(8y-12)
    11·1 answer
  • The population of a town was 25,000 people. then, 3,200 people moved away.. what was the percent decrease?
    14·2 answers
  • A fence is 10 feet tall. A stick leans against the fence as shown. What is the length of the stick?
    7·1 answer
  • Pls Help will give brainliest
    10·1 answer
  • Can someone help me with this problem? Thank you!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!