Answer:
f^-1(x) = x+1
Step-by-step explanation:
y = x-1
x = y-1
y = x+1
has CDF
where
is the CDF of
. Since
are iid. with the standard uniform distribution, we have
and so
Differentiate the CDF with respect to
to obtain the PDF:
i.e.
has a Beta distribution
.
Answer:
they are all even numbers except for 155
Step-by-step explanation:
Answer:
xy = -1 and y = -1/x are the same.
They are not linear equations because they are not written in the form
Ax + By = C.
Answer:
0.0016283
Step-by-step explanation:
Given that:
Proportion of defective bulbs, p = 30% = 0.3
Sample size, n = 19 bulbs
Probability that the lot will pass inspection :
P(none of the 19 is defective) Or P(only one of the 19 is defective)
P(none of the 19 is defective) = (1 - p) ^n = (1 - 0.3)^19 ; 0.7^19
0.7^19 = 0.0011398
P(only one of the 19 is defective) :
P(1 defective) * P(18 not defective )
(0.3) * (1 - 0.3)^18
0.3 * 0.7^18
0.3 * 0.001628413597910449 = 0.0004885
Hence,
P(none of the 19 is defective) + P(only one of the 19 is defective)
0.0011398 + 0.0004885) = 0.0016283
