TPR2251 - Pattern Recognition Quiz 1

A pattern is an abstract object, such as a set of measurements describing a physical object. Which of the following are the procedures you would follow to categorize it into an identifiable class?

I. Sensing

II. Extraction

III. Segmentation

IV. Classification

• I, II and III only

• I, III and IV only

• II, III and IV only

• All of the above

You argue with your friend about who is to buy lunch today. You then decide to throw a die to decide. If an even number is obtained, you buy lunch, otherwise, your friend buys lunch. What is the probability that you will be buying lunch today?

• $\frac{1}{2}$

• $\frac{1}{6}$

• $\frac{2}{3}$

• $\frac{3}{4}$

If two events, A and B are dependent, the probability of event B occurring given that event A has already occurred is given as:

 $\frac{probability\ of\ both\ events\ A\ and\ B\ occuring}{probability\ ofevent\ A\ occuring}$  

Which of the following is the formal mathematical notation for this expression? 

•  $P\left(B\ |\ A\right)\ =\ \frac{P\left(A\cap B\right)}{P\left(A\right)}$  

•  $P\left(A\ |\ B\right)\ =\ \frac{P\left(A\cap B\right)}{P\left(A\right)}$  

•  $P\left(B\ |\ A\right)\ =\ \frac{P\left(A\cap B\right)}{P\left(B\right)}$  

• None of the above

Jessica took two tests. The probability of her passing both tests is 0.7. The probability of her passing the first test is 0.8. If she passed the first test, how likely is she to pass the second test?

• 0.5

• 0.75

• 0.875

• 0.8

According to 2018 statistics, 14.5% of Malaysians develop cancer before the age of 75 years. A 60-year-old man tests positive for cancer. The test is 90% accurate, and 9.6% of the those who tested positive for cancer didn’t actually have cancer. What are the chances that the man actually has cancer?

• About 50%

• About 33%

• About 61%

• 90%