What is the expected number of defective chips

Reference no: EM13247307

A large shipment of computer chips is known to contain 8% defective chips. Suppose you select 500 chips at random.

A. What distribution does the number of defective chips in the sample of 500 satisfy?

Distribution - Binomial

Number of trials n = 500

Probability of success (finding a defective chips) p = 8%

B. Suppose that you wish to calculate the probability that the number of defective chips in the sample is exactly 50. Write the exact formula for this number, but you are NOT required to evaluate the probability.

(b) Suppose that you wish to calculate the probability that the number of defective chips in the sample is exactly 50. Write the exact formula for this number, but you are NOT required to evaluate the probability.

P(X=x)= 200Cx *(0.08)^x*(1-0.08)^(200-x)

P(X=50) = 200C50 *(0.08)^50*(1-0.08)^(200-50)

C. What is the expected number of defective chips in your sample?

D. What is the standard deviation of the number of defective chips in the sample? (Please characterize its relevant parameters.)

(d) What is the standard deviation of the number of defective chips in the sample? use SD furumla in excell V(X)=n*p*(1-p)=200*0.08*(1-0.08)= 14.72 Standard deviation = Square root of V(X) = 14.72^0.5 = 3.837

Reference no: EM13247307

Questions Cloud

Determine the resistance capacitive and inductive reactance : An ac series circuit has an impedance of 196 ? , and the phase angle between the current and the voltage of the generator is ? = -72°. The circuit contains a resistor and either a capacitor or an inductor

Why is economics considered a social science : Why is economics considered a social science? What role does economics play in your personal and professional lives?

What is turbine type and estimate flow rate of each turbine : Turbines at the Conowingo plant on the Susquehanna River each develop 54,000 hp at 82 RPM under a head of 89 feet. What is the turbine type Estimate flow rate of each turbine.

What happens to the money supply : What is the difference between contractionary and expansionary monetary policy? What is the intention of each policy under a depression, recession, or robust economy? Which type of monetary policy is more appropriate today and why?

What is the expected number of defective chips : What distribution does the number of defective chips in the sample of 500 satisfy and what is the expected number of defective chips in your sample?

Find the total voltage drop in 200 twisted pair wire : A proportional controller for a rotating antenna has a gain Kp of 5 in-oz/deg. The antenna was initially pointing due south, but was then commanded to point southeast. Find the initial torque supplied to the antenna.

What are the potential consequences of a country having : What are the potential consequences of a country having a large overall debt? If you were in the position to implement a solution for the country's long-term debt, what would it be and why?

Find the final overall magnification of the microscope : The focal lengths of the objective and the eyepiece in a microscope are 0.29 cm and 2.50 cm, respectively, What is the final overall magnification of the microscope

What indictors are evident that there is too much : What indictors are evident that there is too much or too little money within the economy? How is monetary policy aiming to adjust this?

User Account

All Pages