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
german
3 years ago
11

(Hypothetical.) Suppose a certain person's reaction time, in seconds, for pressing a button on a visual cue has the following cu

mulative distribution function: F (x )equals 1 minus fraction numerator 1 over denominator (x plus 1 )cubed end fraction space x greater than 0 What is the probability the person's reaction time will be between 0.9 and 1.1 seconds
Mathematics
1 answer:
Sonbull [250]3 years ago
5 0

Answer:

the probability the person's reaction time will be between 0.9 and 1.1 seconds is 0.0378

Step-by-step explanation:

Given the data in the question;

the cumulative distribution function F(x) = 1 - \frac{1}{(x + 1)^3} ; x > \theta

probability the person's reaction time will be between 0.9 and 1.1 seconds

P( 0.9 < x < 1.1 ) = P( x ≤ 1.1 ) - P( x ≤ 0.9 )

P( 0.9 < x < 1.1 ) = F(1.1) - F(0.9)

= [ 1 - \frac{1}{(x + 1)^3}  ] - [1 - \frac{1}{(x + 1)^3} ]

we substitute

= [ 1 - \frac{1}{(1.1 + 1)^3}  ] - [1 - \frac{1}{(0.9 + 1)^3} ]

= [ 1 - \frac{1}{(2.1)^3}  ] - [1 - \frac{1}{(1.9)^3} ]

= [ 1 - \frac{1}{(9.261)}  ] - [1 - \frac{1}{(6.859)} ]

= [ 1 - 0.1079796998 ] - [ 1 - 0.1457938 ]

= 0.8920203 - 0.8542062

= 0.0378

Therefore, the probability the person's reaction time will be between 0.9 and 1.1 seconds is 0.0378

You might be interested in
The height of a giant sequoia tree is proportional to its age. Use the graph to determine how long it takes for a giant sequoia
Kitty [74]

Answer:

Hi- It takes about 50 years. Just write the 50 not the sentence lol

6 0
3 years ago
The family bought a car for $2000 they made a down payment of $500 if they want to pay the balance of five equal payments how mu
prisoha [69]
The balance would be 1,500$. 
1,500 divided by 5 is 300. So they would have to make five payments of 300$.
5 0
3 years ago
Can you choose any two distinct points on a line to calculate the slope? True or False?
marin [14]
True, u can choose any two distinct points on a line to calculate the slope
4 0
3 years ago
Read 2 more answers
I need help with this problem too
liq [111]
132 drinks were in stock initially
8 0
3 years ago
Read 2 more answers
sam paid $20 for two t-shirts. the price for each t-shirt was a multiple of 5. what are the possible prices of the t-shirts?
irina [24]
The possible answers are 15,5 and 10,10

5 0
3 years ago
Other questions:
  • Maya is taking her friends to a concert each ticket costs $25 and souvenir t-shirts are $12 each there is a $4 service fee for t
    7·2 answers
  • A blueberry pie is shot out of a pie cannon from a height of 6m and with a velocity of 60 m/s. How many seconds will pass before
    7·1 answer
  • In its monthly report, the local animal shelter states that it currently has 24 dogs and 18 cats available for adoption. Eight o
    15·1 answer
  • PLEASE HELP ME PLEASE I NEED HELP AS FAST AS POSSIBLE
    10·2 answers
  • Yo help me with number 6 pls thx and tell me how. I can't find the answer
    7·1 answer
  • Please help. Have no clue how to do this
    6·1 answer
  • Help please!!!!!!!!!!!!!!!!!!!
    5·1 answer
  • PLEASE HELP 30 POINTS
    14·1 answer
  • Which geometric figures are drawn on the diagram? Check all that apply.
    14·1 answer
  • What is the solution to 2h + 8 &gt; 3h - 6
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!