Find an approximated probability, Mechanical Engineering

Find an approximated probability:

Sixteen numbers are selected independently and at random from the interval [ 0, 1 ]. Find an approximated probability that the mean of these sixteen, numbers does not exceed 0.6.

Solution:

Let Xi, i = 1, 2, ..., 16 be the selected numbers. Then Xi are i.i.d. each having a uniform distribution on the interval [O, 1 ]. Hence

μ = E (Xi) =1/2 and σ2 = Var Xi =1/12

Hence required probability is

2418_Find an approximated probability.png

=Φ (1.39) = .9177

The utilization of the central limit theorem in approximating a few probability distributions is given in the subsequent section.

Posted Date: 1/31/2013 5:27:38 AM | Location : United States







Related Discussions:- Find an approximated probability, Assignment Help, Ask Question on Find an approximated probability, Get Answer, Expert's Help, Find an approximated probability Discussions

Write discussion on Find an approximated probability
Your posts are moderated
Related Questions
Calculate the maximum and minimum stress: A cast iron column of 200 mm diameter carries a vertical load of 400 kN, at a distance of 50 mm from the centre. Calculate the maximu

Q. What do you mean by Velocity - Area Method? Out of the above four categories, velocity area method is most widely used and provides more accurate results. Requirements of a

In turning moment diagram. why we start to draw curve from o degree?

Example of Production Rate The turret lathe section contains six machines, all devoted to the production of the similar part. The section operates 10 shifts/wk. The number of

What are objectives of the footings? Objectives of the footings: After studying this unit, you should be able to: a. Know different types of footings and the situation wh

Define the process of STEP community The STEP community is in the process of defining and standardizing a number of domain-specific (mechanical or electrical) Application Proto

what is law of gearing

What are relevant design considerations? The relevant design considerations may be summarized as follows: a. Main reinforcement (uniformly distributed) is placed in a longit

A hermite curve passes through the points (1,0), (0.866, 0.5), (0.5, 0.866), (0,1) which are parameterized at u=0,0.25,0.75,1 respectively. determine geometric coefficient of the c