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
Brea k Mean Effective Pressure (P bm ): Likewise, the brake mean effective pressure is given by   i p       = indicated power (kW) bp     = Break Powder (kW

(a) Explain safety features of latest vehicles. (b) Discuss the advantages and disadvantages of front wheel drive vehicles over rear wheel drive vehicles.

three vertical, parallel straight rods, each 2.6m in length have their upper ends firmly secured and their lower supporting a rigid horizontal bar with a weight of 8KN, which cause

Tolerance Analysis This discusses the importance of assigning tolerances to the dimensions. Tolerance analysis is the process of assigning suitable tolerances. Proper assignme

The processing of payroll for the 10,000 workers in a large rm can either be done using 1 hour of computer time (signed by K) and no clerks or with 10 hours of clerical time (sign

this is a problem for designing wrecking crane. there are 2 scenarios, one is when ball is held and one where its at maximum. i calculated the loads and now need to find the follow

What are the primary benefits of using computerized layout procedures vs. Systematic Layout Planning (SLP) procedures done by hand?

Types of Holons The four major types of holons are: Order holons Product holons Resource holons Staff holons Considering the cooperative aspect of the

I have literature review and the title is "the effect of fluid cooling on the performance of building integrated photovoltaic thermal systems. Using some BIPVT prototypes measure

Arc-Welding Processes Arc-welding includes those welding processes wherein heat required for welding is derived from an arc powered by electrical energy, may be AC of DC as s