\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Courses
About
Login
Register
C
(
)
\(\pi\)
7
8
9
\(\div\)
4
5
6
\(\times\)
1
2
3
-
0
.
=
+
The lifespan (in hours of continuous use) of a smartphone battery is a random variable \(X\) with expectation \(\mu=40\) and variance \(V=16\). We test a random sample of \(n=100\) batteries and denote their average lifespan by \(\overline{X}_{100}\).
Calculate the variance of the sample mean \(V(\overline{X}_{100})\).
Use the concentration inequality to bound the probability \(P(|\overline{X}_{100}-40|\ge 0.8)\).
Bound the probability that the average lifespan is outside the interval \([39,41]\).
Capture an image of your work. AI teacher feedback takes approximately 10 seconds.
Exit