The probability of obtaining a defective 10-year old widget is 73.2%. For our purposes, the random variable will be the number of items that must be tested before finding the first defective 10-year old widget. Thus, this procedure yields a geometric distribution. Use some form of technology like Excel or StatDisk to find the probability distribution.
(Report answers accurate to 4 decimal places.)
k P(X = k)
1 Correct
2
3
4
5
6 or greater

P(X=0)=0.732

P(X=1)=0.1962

P(X=2)=0.0526

P(X=3)=0.0141

P(X=4)=0.0038

P(X=5)=0.001 0

P(X≥6)=0.0004

Step-by-step explanation:

We want to find the probability distribution of X, where X is the number of items that must be tested before finding the first defective 10-year old widget.

This means that if X=2, the first two items are not defective and the third item is defective.

The probability of finding a defective item is p=0.732 for each trial.

Then, the probability for X=k can be written as:

Then, we can write:

the option best identifies the textual evidence that supports this conclusion is c.) when an argument is over, how many weighty reasons does a man recollect which his heat and violence made him utterly forget? in order to recognize textual evidence is to identify the topic sentence where the author states the main idea. textual evidence is what supports the topic sentence or main idea of a passage.