Question

For a Student’s t-distribution with mean 0, standard deviation 1, and degrees of freedom 49, which of the following Python lines outputs the probability ? Select one.

Question 1 options:

	import scipy.stats as st print(st.t.cdf(0.115, 49, 0, 1))
	import scipy.stats as st print(st.t.ppf(0.115, 49, 0, 1))
	import scipy.stats as st print(st.t.sf(0.115, 49, 0, 1))
	import scipy.stats as st print(st.t.pdf(0.115, 49, 0, 1))

Answer 1

The code for finding the probability in python for students t-distribution is given as,

1^st we will import t distrubution from library scipy.stats and the code for the same is

import scipy.stats as st

Now, once we have imported the library, now we will input the code to print the probability of One Sample student t- Distribution and the code is as follows,

print(st.t.pdf(x, degrees of freedom, Location parameter(mean), Scale parameter(standard deviation)))

Now just input all the given values of,

x=0.115,

Degrees of freedom = 49,

Location parameter(mean) = 0

Scale parameter(Standard Deviation ) = 1

Therefore, the correct code for finding the value of Student t-distribution using python is,

import scipy.stats as st

print(st.t.pdf(0.115, 49, 0, 1)

Hence, last option is the correct answer.

I hope you understood the concept.

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