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
Viefleur [7K]
2 years ago
14

Let X represent the time it takes from when someone enters the line for a roller coaster until they exit on the other side. Cons

ider the probability model defined by the cumulative distribution function given below.
0 x < 3
F(x) = (x-3)/1.13 3 < x < 4.13
1 x > 4.13
A. What is E(X)? Give your answer to three decimal places.
B. What is the value c such that P(X < c) = 0.75? Give your answer to four decimal places.
C. What is the probability that X falls within 0.28 minutes of its mean? Give your answer to four decimal places.
Mathematics
1 answer:
marysya [2.9K]2 years ago
5 0

Answer:

a) E(x)=3.565

b) c=3.8475 --> P(X < 3.8475) = 0.75

c) The probability that X falls above or below 0.28 min from the mean is P=0.4954.

Step-by-step explanation:

We have the cumulative distribution function as information.

a) To calculate the expected value, we can calculate the value of x in which F(x) equals 0.5. This happens for x=3.565.

F(x)=\frac{x-3}{1.13} =0.5\\\\x-3=0.5*1.13=0.565\\\\x=0.565+3=3.565

b) What is the value c such that P(X < c) = 0.75?

In this case, we have to calculate x to have F(x)=0.75

F(x)=\frac{x-3}{1.13} =0.75\\\\x-3=0.75*1.13=0.8475\\\\x=0.8475+3=3.8475

This happens for x=3.8475.

c) We have to calculate the probability that X falls above or below 0.28 min from the mean (x=3.565).

This is the probability that the time is between 3.285 and 3.845

x_1=3.565-0.28=3.285\\\\x_2=3.565+0.28=3.845

We can calculate this as:

P(3.285

The probability that X falls above or below 0.28 min from the mean is P=0.4954.

You might be interested in
Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not exist, enter DNE.)
Liono4ka [1.6K]

Answer:

The answer is "0".

Step-by-step explanation:

Please find the correct question in the attached file.

Given value:

\to f(x) =\frac{x^2}{x^2+5}\\\\

Formula:

\bold{\frac{d}{dx} \frac{u}{v} = \frac{ v \frac{du}{dx} - u \frac{dv}{dx}}{v^2}}

\to f'(x) =\frac{(x^2+5) 2x -2x^3 (2x)}{(x^2+5)^2}\\\\\to f'(0) =\frac{(0^2+5)2(0) -4(0)^4}{(0^2+5)^2}\\\\\to f'(0) =\frac{(0)(5) -2(0)}{(5)^2}\\\\\to f'(0) =\frac{0 - 0}{(5)^2}\\\\\to f'(0) =\frac{0}{25}\\\\\to f'(0) = 0

6 0
2 years ago
A study found that a factory produces 6 defective computers for every 500 computers that are produced. On the average, what perc
masya89 [10]

Answer:

1.2%

Step-by-step explanation:

We know that for every 500 computers, 6 are defective. So, to know what percentage of computers are defective on average, we can do a rule of three:

500 computers -> 6 defective

100 computers -> X defective

500/100 = 6/X

X = 100 * 6 / 500 = 1.2

So, in average, for every 100 computers, 1.2 are defective, so the percentage is 1.2% (1.2 for every 100)

6 0
3 years ago
Given the following information, which is the best description of the data?
kakasveta [241]
C) Moe highest probability=14, median (50% of the values), mean=central measure of the '50%' all are 14-15, C) is the closest, no? :)
6 0
2 years ago
Read 2 more answers
Solve please! You have to just find the value of x using the angle .
maksim [4K]

Answer:

x=55°

Step-by-step explanation:

x=90-35

x=55°

(because its x+35=90°)

6 0
3 years ago
Read 2 more answers
Check my math work please, use photo attached
Sonja [21]

Answer:

The department total on the bottom right hand side should be 464253. Everything else is correct.

Step-by-step explanation:

Adding was wrong across the bottom row.

3 0
2 years ago
Other questions:
  • What is the area of the object Below?
    15·2 answers
  • Can someone help me understand how to do these please
    13·1 answer
  • 1. Given a sequence is defined by the explicit definition tn=n^2+n, find the 4th term of the sequence. (ie t4)
    14·2 answers
  • What portions of your face hold symmetry
    10·1 answer
  • Median of 4,3,2,1,0,2,3,1,4,3
    13·2 answers
  • Which products are negative?
    5·1 answer
  • Use Green's Theorem to evaluate the following line integral. Assume the curve is oriented counterclockwise.
    15·1 answer
  • Liam has 12 red balloons and 14 blue balloons.He put all of his balloons in 2 equal groups. How many balloons are in each group?
    10·2 answers
  • What is 44 percent of 1,295<br><br> Wander this if you need points <br><br> It’s 569.8
    15·1 answer
  • What’s the percentage?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!