Determine the poisson probability distribution, Mathematics

A manufacturer assures his customers that the probability of having defective item is as 0.005. A sample of 1000 items was inspected. Determine the probabilities of having the given possible outcomes

i. Simply one is defective

ii. Mostly 2 defective

iii. More than 3 defective

P(x) =  e λx/x!

(? = np = 1000 × 0.005) = 5

i. P(only one is defective) = P(1) = P(x = 1)

= (2.718-5 * 51)/1!     Note that 2.718-5=  1/(2.718)5

= 5/(2.718)5

= 5/(148.33)

ii. P(at most 2 defective) = P(x ≤ 2)

= P(0) +P(1)+P(2)

P(x=0) = e-550/0!

= 2.718-5

= 1/(2.718)+5

= 0.00674

P(1) = 0.0337

P(2) = (2.718-5 * 52)/2!

= 0.08427

P(x<2) = 0.00674 + 0.0337 + 0.08427

= 0.012471

iii. P(more than 3 defective) = P(x > 3)

= 1 -  [P(0)+P(1)+P(2)+P(3)]

Posted Date: 2/20/2013 6:25:51 AM | Location : United States

Related Discussions:- Determine the poisson probability distribution, Assignment Help, Ask Question on Determine the poisson probability distribution, Get Answer, Expert's Help, Determine the poisson probability distribution Discussions

Write discussion on Determine the poisson probability distribution
Your posts are moderated
Related Questions
How to Solve Inequalities ? Now that you have learned so much about solving equations, you're ready to solve inequalities. You might think that since an equation looks like

A car travels 283 1/km in 4 2/3 hours .How far does it go in 1 hour?

The logarithm of a provided number b to the base 'a' is the exponent showing the power to which the base 'a' have to be raised to get the number b. This number is defined as log a

Euler Equations - Series Solutions to Differential Equations In this section we require to look for solutions to, ax 2 y′′ + bxy′ + cy = 0 around x0  = 0. These ki

Two circles C(O, r) and C 1 (O 1 , r 1 ) touch each other at P, externally or internally.  Construction: join OP and O 1 P . Proof : we know that if two circles touch each

We are here going to begin looking at nonlinear first order differential equations. The first type of nonlinear first order differential equations which we will see is separable di

what are these all about and could i have some examples of them please

A garden in the shape of a rectangle is surrounded through a walkway of uniform width. The dimensions of the garden only are 35 by 24. The field of the garden and the walkway toget

Derive the probability distribution of the completion times: a. The following probability distributions relate to the completion times, in weeks, T A and T B of two independ

To find out the perimeter of a triangular region, what formula would you use? The perimeter of a triangle is length of surface a plus length of side b plus length of side c.