probability of finding a defective product of a company’s total products is given as 1 out of hundred, with a sample size of 200 chosen,

INSTRUCTIONS TO CANDIDATES

ANSWER ALL QUESTIONS

Note: Use SPSS to solve the following questions. For every question Write the SPSS commands and then copy and paste the output page here (or in some cases the screenshot of the data view that shows the output).

Question 1:

If the probability of finding a defective product of a company’s total products is given as 1 out of hundred, with a sample size of 200 chosen, Assuming Poisson distribution, what is the probability that

At least 2 are defective

At most 3 are defective

More than 2 but less than 4 items are defective

Exactly 3 are defective.

Question 2: The probability of producing a perfect drill is .95. If 5 drills are chosen at random, Assuming Binomial distribution, what's the probability that:

exactly 3 are perfect?

exactly 4 are perfect?

3 or more are perfect?

between 2 and 4 are perfect?

Question 3: Suppose the time it takes a nine-year old to eat a donut is between 0.5 and 4 minutes, inclusive. Let X = the time, in minutes, it takes a nine-year old child to eat a donut. Then X~ U (0.5, 4).

The probability that a randomly selected nine-year old child eats a donut in at least two minutes is _______.

The probability that a randomly selected nine-year old child eats a donut in maximum three minutes is _______.

The probability that a randomly selected nine-year old child eats a donut in between 1 and 3 minutes is _______.

Question 4: (In this problem first find the probability by using SPSS and then calculate the number of trees manually by using the probabilities.)

A certain variety of pine tree has a mean trunk diameter of μ=150 cm, and a standard deviation of σ=30 cm which is normally distributed. A certain section of a forest has 500 of these trees. Find Approximately

how many of these trees have a diameter smaller than 120

how many of these trees have a diameter greater than 160

how many of these trees have a diameter between 130 and 160.

how many of these trees have a diameter between 120 and 140.

Attachments:

Related Questions

. The fundamental operations of create, read, update, and delete (CRUD) in either Python or Java

CS 340 Milestone One Guidelines and Rubric  Overview: For this assignment, you will implement the fundamental operations of create, read, update,

. Develop a program to emulate a purchase transaction at a retail store. This  program will have two classes, a LineItem class and a Transaction class

Retail Transaction Programming Project  Project Requirements:  Develop a program to emulate a purchase transaction at a retail store. This

. The following program contains five errors. Identify the errors and fix them

7COM1028   Secure Systems Programming   Referral Coursework: Secure

. Accepts the following from a user: Item Name Item Quantity Item Price Allows the user to create a file to store the sales receipt contents

Create a GUI program that:Accepts the following from a user:Item NameItem QuantityItem PriceAllows the user to create a file to store the sales receip

. The final project will encompass developing a web service using a software stack and implementing an industry-standard interface. Regardless of whether you choose to pursue application development goals as a pure developer or as a software engineer

CS 340 Final Project Guidelines and Rubric  Overview The final project will encompass developing a web service using a software stack and impleme