Question 1

A problem statement is given as below

Hospital records show that of patients suffering from a certain disease, 75% die of it. What is the probability that of 6 randomly selected patients, 4 will recover?

Which of the following model will you use to solve it.

ABinomial

BPoisson

CNormal

DAny of the above

Answer : A

Question 2

Which of the following problem you can solve using binomial distribution

AA manufacturer of metal pistons finds that on the average: 12% of his pistons are rejected because they are either oversize or undersize. What is the probability that a batch of 10 pistons will contain no more than 2 rejects?

BA life insurance salesman sells on the average 3 life insurance policies per week. Use Poisson's law to calculate the probability that in a given week he will sell Some policies

CVehicles pass through a junction on a busy road at an average rate of 300 per hour Find the probability that none passes in a given minute.

DIt was found that the mean length of 100 parts produced by a lathe was 20.05 mm with a standard deviation of 0.02 mm. Find the probability that a part selected at random would have a length between 20.03 mm and 20.08 mm
The entire problem can be solved using below method
Binomial: A manufacturer of metal pistons finds that on the average, 12% of his pistons are rejected because they are either oversize or undersize. What is the probability that a batch of 10 pistons will contain no more than 2 rejects?
Poisson: A life insurance salesman sells on the average 3 life insurance policies per week. Use Poisson's law to calculate the probability that in a given week he will sell Some policies
Poisson: Vehicles pass through a junction on a busy road at an average rate of 300 per hour Find the probability that none passes in a given minute.
Normal: It was found that the mean length of 100 parts produced by a lathe was 20.05 mm with a standard deviation of 0.02 mm. Find the probability that a part selected at random would have a length between 20 03 mm and 20.08 mm

Answer : A

Question 3

Of all the smokers in a particular district, 40% prefer brand A and 60% prefer brand B. Of those smokers who prefer brand

A30% are females, and of those who prefer brand B. 40% are female. What is the probability that a randomly selected smoker prefers brand A, given that the person selected is a female?
Which of the following is a best way to solve this problem?

ABays Theorem

BPoisson Distribution

CBinomial Distribution

DNone of the above

Answer : A, A

Question 4

Projecting a multi-dimensional dataset onto which vector has the greatest variance?

Afirst principal component

Bfirst eigenvector

Cnot enough information given to answer

Dsecond eigenvector

Esecond principal component
The method based on principal component analysis (PCA) evaluates the features according to the projection of the largest eigenvector of the correlation matrix on the initial dimensions, the method based on Fisher's linear discriminant analysis evaluates. Them according to the magnitude of the components of the discriminant vector.
The first principal component corresponds to the greatest variance in the data, by definition. If we project the data onto the first principal component line, the data is more spread out (higher variance) than if projected onto any other line, including other principal components.

Answer : A

Question 5

In which phase of the data analytics lifecycle do Data Scientists spend the most time in a project?

ADiscovery

BData Preparation

CModel Building

DCommunicate Results

Answer : B

Free Practice Questions for Databricks Certified Professional Data Scientist Exam

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