A box contains 10 pens of which 3 are new. A random sample of two pens is taken. (1) Show that the probability of getting exactly one new pen in the sample is (ii) Construct a probability distribution table for the number of new pens in the sample. (iii) Calculate the expected number of new pens in the sample.

A box contains 10 pens of which 3 are new. A random sample of two pens is taken. (1) Show that the probability of getting exactly one new pen in the sample is (ii) Construct a probability distribution table for the number of new pens in the sample. (iii) Calculate the expected number of new pens in the sample.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

2
A box contains 10 pens of which 3 are new. A random sample of two pens is taken.
(i) Show that the probability of getting exactly one new pen in the sample is
(ii) Construct a probability distribution table for the number of new pens in the sample.
(iii) Calculate the expected number of new pens in the sample.
8 A discrete random variable X has the following probability distribution.
2
3
4
| P(X = x)
4c
5c
3c
6c
(i) Find the value of the constant c.
(ii) Find E(X) and Var(X).
(iii) Find P(X > E(X)).

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