Mathematics, 03.06.2020 03:00, kaur16435

This problem is designed to aid in the understanding of length-biased sampling. Let X be a uniformly distributed random variable on [0,1]. Then X divides [0,1] into the subinterval [0, X) and (X,1]. By symmetry, each subinterval has mean length 1/2. Now pick one of these subintervals at random in the following way:
Let Y be independent of X and uniformly distributed in [0,1], and pick the subinterval [0, X] or (X,1] that Y falls in. Let L be the length of the subinterval so chosen. Formally,
L = { X if Y<_X
1 - X if Y > X}
A) Determine the mean of L.

Answers: 1

Show answers

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 15:50, shamiahG

Which statement accurately explains whether a reflection over the x-axis and a 180° rotation would map figure acb onto itself?

Answers: 2

continue

Mathematics, 21.06.2019 20:50, twhalon72

What is the greatest number of parts of a circle that can be formed by cutting the circle with 7 straight cuts? (note: the parts do not have to be equal in size)

Answers: 3

continue

Mathematics, 21.06.2019 23:30, lakeshia8880

At your job you're paid $50 per week plus $3 per sale at least how many saled do you need to make in order to have over $250

Answers: 1

continue

Mathematics, 22.06.2019 02:00, roseyy7245

The table below shows the number of free throw shots attempted and the number of shots made for the five starting players on the basketball team during practice. each player's goal is to make 80% of her shots.

Answers: 1

continue

Do you know the correct answer?

This problem is designed to aid in the understanding of length-biased sampling. Let X be a uniformly...