Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
1 answer:
You might be interested in
Let 
be any integer. Then
In other words:
(1) If is a multiple of 4, then 
.
(2) If dividing by 4 leaves a remainder of 1, then 
, since 
for some integer 
, and from (1) we know that 
(because, obviously, 
is a multiple of 4).
(3) If instead you get a remainder of 2, then
. This follows from (1) as well. 
.
(4) Finally, if you get a remainder of 3, then
.
In other words:
(1) If
(2) If dividing
(3) If instead you get a remainder of 2, then
(4) Finally, if you get a remainder of 3, then
Answer:
Explained below.
Step-by-step explanation:
The random variable <em>X</em> is defined as the number of stars in a given volume of space.
The probability mass function of <em>X</em> is:
(7)
Compute the probability of exactly two stars in 16 cubic light-years as follows:
(8)
Compute the probability of three or more stars in 16 cubic light-years as follows:
(9)
In 16 cubic light years there is only 1 star.
Then in 1 cubic light years there will be, (1/16) stars.
Then in 4 cubic light years there will be, 4 × (1/16) = (1/4) stars.
(10)
In 16 cubic light years there is only 1 star.
Then in 1 cubic light years there will be, (1/16) stars.
Then in <em>t</em> cubic light years there will be, [<em>t</em> × (1/16)] stars.