Which statement best decribes the relationships between storage space and number of music files?
2 answers:
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Answer:
<h2>4 p.m.</h2>Step-by-step explanation:
We know that a day contains 24 hours in total.
The time already passed will be represented by .
The remaining time would be , becasye half of what has already passed remains until the end of the day.
Basically, the sum of these two expression gives 24 hours in total.
Therefore, the actual time is 4 p.m.
Answer:
c)
Step-by-step explanation:
Rate of collision,
1.2 collisions every 4 months
or,
= 0.3 collisions per month
So, the Poisson distribution for the random variable no. of collisions per month (X) is given by,
P(X =x) =
for x ∈ N ∪ {0}
= 0 otherwise --------------------------------------(1)
here, collision / month
No collision over a 4 month period means no collision per month or X =0
Putting X = 0 in (1) we get,
P(X = 0) =
------------------------------------(2)
Now, since we are calculating this for 4 months,
so, P(No collision in 4 month period)
=
-----------------------------------------------------------(3)
2 collision in 2 month period means 1 collision per month or X =1
Putting X =1 in (1) we get,
P(X =1) =
------------------------------------(4)
Now, since we are calculating this for 2 months, so ,
P(2 collisions in 2 month period)
=
-----------------------------------------(5)
1 collision in 6 months period means
collision per month
Now, P(1 collision in 6 months period)
= P( X = 1/6] (which is to be estimated)
=
= \frac {0.7408182207 \times 5 + 0.2222454662 \times 1}{6}[/tex]
-------------------------------------------(6)
So,
P(1 collision in 6 month period)
=
------------------------------------------------(7)
So,
P(No collision in 6 months period)
=
---------------------------------(8)
so,
P(1 or fewer collision in 6 months period)
= (8) + (7 ) = 0.0785267444 +0.1652988882
---------------------------------------------(9)