Answer:
Step-by-step explanation:
probability = number of favorable outcomes/total number of outcomes
To find compound probability multiply all the probabilities together.
p(3) = 1/6
p(4) = 1/6
p(1) = 1/6
p(2) = 1/6
p(6) = 1/6
Multiply all of them together.
1/6 x 1/6 x 1/6 x 1/6 x 1/6 = 1/7,776
or
You've established that
so all you need to do is compute the integral. Rewrite the integrand as
and replace
, so that
. Then
By the fundamental theorem of calculus, this evaluates to
and so the series converges.
You also could have used the fact that the series is geometric with common ratio less than 1 to arrive at the same conclusion, with the added perk of being able to find the exact value of the sum to corroborate this.
Answer:
0.67!
Step-by-step explanation:
0.6 is just 0.60 which is less than 0.67