Databricks-Certified-Professional-Data-Scientist Exam Dumps

Question 1

Google Adwords studies the number of men, and women, clicking the advertisement on search

engine during the midnight for an hour each day.

Google find that the number of men that click can be modeled as a random variable with distribution

Poisson(X), and likewise the number of women that click as Poisson(Y).

What is likely to be the best model of the total number of advertisement clicks during the midnight for an hour ?

ABinomial(X+Y,X+Y)

BPoisson(X/Y)

CNormal(X+Y(M+Y)1/2)

DPoisson(X+Y)
The total number of clicks is the sum of the number of men and
women. The sum of two Poisson random variables also follows a Poisson distribution with
rate equal to the sum of their rates.
The Normal and Binomial distribution can approximate the Poisson distribution in
certain cases, but the expressions above do not approximate Poisson(X+Y).

Question 2

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

Question 3

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

Question 4

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

Question 5

A website is opened 3 times by a user. What is the probability of he clicks 2 times the advertisement, is best calculated by

ABinomial

BPoisson

CNormal

DAny of the above
In a binomial distribution, only 2 parameters, namely n and p, are needed to determine the probability. Where p is the probability of success and q is the probability of failure in a binomial trial, then the expected number of successes in n trials.
This is a binomial distribution because there are only 2 possible outcomes (we get a 5 or we don't).

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