How to use probability density function on this given scenario? [closed]
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An officer is always late to the office and arrives within the grace period of ten minutes after the start. Let X b the time that elapses between the start and the time the officer signs in with a probability density function.
$$f(x)=begin{cases} kx^2&:& 0leqslant xleqslant 10\0 &:& text{otherwise}end{cases}$$
where k > 0 is a constant.
Compute the value of K.
Find the probability that the he arrives less than 3 minutes after the start of the office.
probability density-function
edited Nov 22 at 23:03
Graham Kemp
84.7k43378
asked Nov 22 at 19:22
Dilanka Dias
61
closed as off-topic by Graham Kemp, user302797, KReiser, max_zorn, Brahadeesh Nov 23 at 6:37
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Graham Kemp, user302797, KReiser, max_zorn, Brahadeesh
If this question can be reworded to fit the rules in the help center, please edit the question.
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up vote
-2
down vote
favorite
An officer is always late to the office and arrives within the grace period of ten minutes after the start. Let X b the time that elapses between the start and the time the officer signs in with a probability density function.
$$f(x)=begin{cases} kx^2&:& 0leqslant xleqslant 10\0 &:& text{otherwise}end{cases}$$
where k > 0 is a constant.
Compute the value of K.
Find the probability that the he arrives less than 3 minutes after the start of the office.
probability density-function
edited Nov 22 at 23:03
Graham Kemp
84.7k43378
asked Nov 22 at 19:22
Dilanka Dias
61
closed as off-topic by Graham Kemp, user302797, KReiser, max_zorn, Brahadeesh Nov 23 at 6:37
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Graham Kemp, user302797, KReiser, max_zorn, Brahadeesh
If this question can be reworded to fit the rules in the help center, please edit the question.
add a comment |
up vote
-2
down vote
favorite
up vote
-2
down vote
favorite
An officer is always late to the office and arrives within the grace period of ten minutes after the start. Let X b the time that elapses between the start and the time the officer signs in with a probability density function.
$$f(x)=begin{cases} kx^2&:& 0leqslant xleqslant 10\0 &:& text{otherwise}end{cases}$$
where k > 0 is a constant.
Compute the value of K.
Find the probability that the he arrives less than 3 minutes after the start of the office.
probability density-function
edited Nov 22 at 23:03
Graham Kemp
84.7k43378
asked Nov 22 at 19:22
Dilanka Dias
61
An officer is always late to the office and arrives within the grace period of ten minutes after the start. Let X b the time that elapses between the start and the time the officer signs in with a probability density function.
$$f(x)=begin{cases} kx^2&:& 0leqslant xleqslant 10\0 &:& text{otherwise}end{cases}$$
where k > 0 is a constant.
Compute the value of K.
Find the probability that the he arrives less than 3 minutes after the start of the office.
probability density-function
probability density-function
edited Nov 22 at 23:03
Graham Kemp
84.7k43378
asked Nov 22 at 19:22
Dilanka Dias
61
edited Nov 22 at 23:03
Graham Kemp
84.7k43378
asked Nov 22 at 19:22
Dilanka Dias
61
edited Nov 22 at 23:03
Graham Kemp
84.7k43378
edited Nov 22 at 23:03
Graham Kemp
84.7k43378
edited Nov 22 at 23:03
Graham Kemp
84.7k43378
84.7k43378
asked Nov 22 at 19:22
Dilanka Dias
61
asked Nov 22 at 19:22
Dilanka Dias
61
asked Nov 22 at 19:22
Dilanka Dias
61
61
closed as off-topic by Graham Kemp, user302797, KReiser, max_zorn, Brahadeesh Nov 23 at 6:37
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Graham Kemp, user302797, KReiser, max_zorn, Brahadeesh
If this question can be reworded to fit the rules in the help center, please edit the question.
closed as off-topic by Graham Kemp, user302797, KReiser, max_zorn, Brahadeesh Nov 23 at 6:37
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Graham Kemp, user302797, KReiser, max_zorn, Brahadeesh
If this question can be reworded to fit the rules in the help center, please edit the question.
add a comment |
add a comment |
1 Answer
1
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oldest
votes
up vote
2
down vote
Straightforward enough.
$1 = kint_0^{10}x^2dx$. You should be able to solve for k knowing this. The second part is the value of $kint_0^{3}x^2dx$ using $k$ from the first part.
answered Nov 22 at 19:33
Hongyu Wang
26117
add a comment |
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
2
down vote
Straightforward enough.
$1 = kint_0^{10}x^2dx$. You should be able to solve for k knowing this. The second part is the value of $kint_0^{3}x^2dx$ using $k$ from the first part.
answered Nov 22 at 19:33
Hongyu Wang
26117
add a comment |
up vote
2
down vote
Straightforward enough.
$1 = kint_0^{10}x^2dx$. You should be able to solve for k knowing this. The second part is the value of $kint_0^{3}x^2dx$ using $k$ from the first part.
answered Nov 22 at 19:33
Hongyu Wang
26117
add a comment |
up vote
2
down vote
up vote
2
down vote
Straightforward enough.
$1 = kint_0^{10}x^2dx$. You should be able to solve for k knowing this. The second part is the value of $kint_0^{3}x^2dx$ using $k$ from the first part.
answered Nov 22 at 19:33
Hongyu Wang
26117
Straightforward enough.
$1 = kint_0^{10}x^2dx$. You should be able to solve for k knowing this. The second part is the value of $kint_0^{3}x^2dx$ using $k$ from the first part.
answered Nov 22 at 19:33
Hongyu Wang
26117
answered Nov 22 at 19:33
Hongyu Wang
26117
answered Nov 22 at 19:33
Hongyu Wang
26117
answered Nov 22 at 19:33
Hongyu Wang
26117
26117
add a comment |
add a comment |
