The probability density function of X. the lifetime of a certain type of electronic device (measured in hours), is given by f ( x ) = { 10 x 2 x > 10 0 x ≤ 10 a. Find P { X > 20 } . b. What is the cumulative distribution function of X? c. What is the probability that of 6 such types of devices, at least 3 will function for at least 15 hours? What assumptions are you making?
The probability density function of X. the lifetime of a certain type of electronic device (measured in hours), is given by f ( x ) = { 10 x 2 x > 10 0 x ≤ 10 a. Find P { X > 20 } . b. What is the cumulative distribution function of X? c. What is the probability that of 6 such types of devices, at least 3 will function for at least 15 hours? What assumptions are you making?
The probability density function of X. the lifetime of a certain type of electronic device (measured in hours), is given by
f
(
x
)
=
{
10
x
2
x
>
10
0
x
≤
10
a. Find
P
{
X
>
20
}
.
b. What is the cumulative distribution function of X?
c. What is the probability that of 6 such types of devices, at least 3 will function for at least 15 hours? What assumptions are you making?
Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.
Statistical Reasoning for Everyday Life (5th Edition)
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