Q5 A student wrote a (machine learning) algorithm for distinguishing between pictures of cats
and pictures of dogs. The error rates of her algorithm are given as:
P(alg=dogpic=cat)=0.1P(alg=catpic=dog)=0.2. [For example, P(alg= cat pic=dog) denotes the
probability that the algorithm outputs "cat" when seeing a picture of a dog.] Now we test the
algorithm for several rounds, each round inputting to it a random picture of either a cat or a dog.
For each picture, the probability of it being a cat's picture is 0.3 and the probability of it being a
dog's picture is 0.7 . a) What is the probability that the algorithm correctly classifies 3
consecutive pictures? (5 points) b) When the algorithm outputs "cat", what is the probability that
the picture actually shows a cat? (5 points) c) Suppose we run this test for 5 rounds, and we
award the student 10 HKD for each picture that her algorithm correctly classifies (and 0 HKD for
each wrong classification). What is the variance of her income? (5 points).
Z Score,T Score, Percential Rank and Box Plot Graph
Q5 A student wrote a (machine learning) algorithm for distinguishing.pdf
1. Q5 A student wrote a (machine learning) algorithm for distinguishing between pictures of cats
and pictures of dogs. The error rates of her algorithm are given as:
P(alg=dogpic=cat)=0.1P(alg=catpic=dog)=0.2. [For example, P(alg= cat pic=dog) denotes the
probability that the algorithm outputs "cat" when seeing a picture of a dog.] Now we test the
algorithm for several rounds, each round inputting to it a random picture of either a cat or a dog.
For each picture, the probability of it being a cat's picture is 0.3 and the probability of it being a
dog's picture is 0.7 . a) What is the probability that the algorithm correctly classifies 3
consecutive pictures? (5 points) b) When the algorithm outputs "cat", what is the probability that
the picture actually shows a cat? (5 points) c) Suppose we run this test for 5 rounds, and we
award the student 10 HKD for each picture that her algorithm correctly classifies (and 0 HKD for
each wrong classification). What is the variance of her income? (5 points)
![Q5 A student wrote a (machine learning) algorithm for distinguishing between pictures of cats
and pictures of dogs. The error rates of her algorithm are given as:
P(alg=dogpic=cat)=0.1P(alg=catpic=dog)=0.2. [For example, P(alg= cat pic=dog) denotes the
probability that the algorithm outputs "cat" when seeing a picture of a dog.] Now we test the
algorithm for several rounds, each round inputting to it a random picture of either a cat or a dog.
For each picture, the probability of it being a cat's picture is 0.3 and the probability of it being a
dog's picture is 0.7 . a) What is the probability that the algorithm correctly classifies 3
consecutive pictures? (5 points) b) When the algorithm outputs "cat", what is the probability that
the picture actually shows a cat? (5 points) c) Suppose we run this test for 5 rounds, and we
award the student 10 HKD for each picture that her algorithm correctly classifies (and 0 HKD for
each wrong classification). What is the variance of her income? (5 points)](https://image.slidesharecdn.com/q5astudentwroteamachinelearningalgorithmfordistinguishing-230328163309-0f9fd816/85/Q5-A-student-wrote-a-machine-learning-algorithm-for-distinguishing-pdf-1-320.jpg)
