Week 2 - Chapter 4 H.W.

Eighteen of the 100 digital video recorders​ (DVRs) in an inventory are known to be defective. What is the probability you randomly select an item that is not​ defective? 100 = sample space 100-18=82 82/100=.82

Answer: .82

What does Upper A overbarA ​denote?

Event Upper A overbarA denotes the complement of event​ A, meaning that Upper A overbarA consists of all outcomes in which event A does not occur.

Which of the following values cannot be​ probabilities? 0.05​, −0.41​, 11​, 0​, 3/5​, 1.22​, √2, 5/3

For any event​ A, the probability of A is between 0 and 1 inclusive. That​ is, 0≤P(A)≤1. First analyze 0.05. 0.05 could be the probability of an event because 0≤P(A)≤1​, where ​P(A)=0.05. Now analyze −0.41. −0.41 could not be the probability of an event since negative 0.41 less than 0. using the same concepts as​ above, determine all the numbers that could be a probability of an event.

Unusual

Its unusual if its less then .05

The​ _______ for a procedure consists of all possible simple events or all outcomes that cannot be broken down any further.

Sample Space

As a procedure is repeated again and​ again, the relative frequency of an event tends to approach the actual probability. This is known as​ _______.

The law of large numbers