HW 3.1

A random number generator is used to select an integer from 1 to 100 ​(inclusively). What is the probability of selecting the integer 31​?

.01

The probability that an event will happen is P(E)=0.47. Find the probability that the event will not happen.

.53

19 of the 100 digital video recorders​ (DVRs) in an inventory are known to be defective. What is the probability you randomly select a DVR that is not​ defective?

.81

The probability that an event will happen is P(E)=38/41. Find the probability that the event will not happen.

3/41

What is the difference between an outcome and an​ event?

An outcome is the result of a single probability experiment. An event is a set of one or more possible outcomes.

Explain why the statement is incorrect. The probability of rain tomorrow is 153​%.

The probability of an event cannot exceed​ 100%.

Determine which numbers could not be used to represent the probability of an event.

​-1.5, because probability values cannot be less than 0 64/25​, because probability values cannot be greater than 1.

Determine whether the statement is true or false. You toss a coin and roll a die. The event​ "tossing tails and rolling a 2 or 1​" is a simple event.

​False, the event is not simple because it consists of two possible outcomes.

Select the three formulas that can be used to describe complementary events.

​P(E)+​P(E')=1 ​P(E)=1−​P(E') ​P(E')=1−​P(E)

Determine whether the statement is true or false. When an event is almost certain to​ happen, its complement will be an unusual event.

​True, the complement would be an unusual event.