Chapter 2 Quiz - 2-5 Quiz_ Python Functions and Probability Distributions

Question 1 3/ 3 points For a Student’s t-distribution with mean 0, standard deviation 1, and degrees of freedom 30, which of the following Python lines outputs the probability P(1.50<t<2.85)? Select one. import scipy.stats as st print(st.t.sf(2.85, 30, 0, 1) - st.t.sf(1.5, 30, 0, 1)) import scipy.stats as st print(t.cdf(2.85, 30, 0, 1)) o import scipy.stats as st print(st.t.cdf(2.85, 30, 0, 1) - st.t.cdf(1.5, 30, 0, 1)) import scipy.stats as st print(st.t.cdf(2.85, 30, 0, 1) - st.t.pdf(1.5, 30, 0, 1)) Question 2 3/ 3 points 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 critical value a if Plt<a)=0.135? Note: ais a constant. Select one. import scipy.stats as st print(st.t.sf(0.135, 49, 0, 1)) import scipy.stats as st print(st.t.pdf(0.135, 49, 0, 1)) import scipy.stats as st print(st.t.cdf(0.135, 49, 0, 1)) o import scipy.stats as st print(st.t.ppf(0.135, 49, 0, 1)) Question 3 3/ 3 points For a Normal distribution with mean O and standard deviation 1, which of the following Python lines outputs the probability PLO-15 <x<188)3 geject one. import scipy.stats as st print(st.norm.pdf(1.88, 0, 1) - st.norm.pdf(-0.15, 0, 1)) import scipy.stats as st print(st.norm.cdf(1.88, 0, 1)) print(st.norm.cdf(1.88, 0, 1) - st.norm.cdf(-0.15, 0, 1)) o import scipy.stats as st print(st.norm.cdf(1.88, 0, 1) - st.norm.cdf(-0.15, 0, 1))

Question 4 0/ 3 points The shaded region under a Normal distribution with mean 0 and standard deviation 1 (Standard Normal distribution) is shown. Which of the following is the best choice that corresponds to the shaded region? Select one. mean o Probability of z 2 -1.5 Probability of z < +1.5 @ robability of z < -1.5 Probability of z > +1.5 Question 5 0/ 3 points 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 P(t>0.115)? Select one. import scipy.stats as st print(st.t.ppf(0.115, 49,0, 1)) import scipy.stats as st print(st.t.pdf(0.115, 49,0, 1)) o import scipy.stats as st print(st.t.cdf(0.115, 49,0, 1)) import scipy.stats as st print(st.t.sf(0.115, 49, 0, 1))

Question 3 3/ 3 points The shaded region under a Normal distribution with mean 100 and standard deviation 5 is shown. Which of the following is the best choice that corresponds to the shaded region? Select one. mean Probability of x < 108 Probability of x > 92 o Probability of x < 92 Probability of x > 108

Question 4 3/ 3 points For a Student’s t-distribution with mean 0O, standard deviation 1, and degrees of freedom 30, which of the following Python lines outputs the probability P(t<-0.185)? Select one. import scipy.stats as st print(st.t.cdf(-0.185, 30, 0, 1)) import scipy.stats as st print(st.t(-0.185, 30, 0, 1)) import scipy.stats as st print(st.t.pdf(-0.185, 30, 0, 1)) import scipy.stats as st print(st.t.sf(-0.185, 30, 0, 1)) Question 5 0/ 3 points For a Normal distribution with mean 0 and standard deviation 1, which of the following Python lines outputs the critical value a if P(z>a)=0.8187 Note: a is a constant. Select one. ) import scipy.stats as st print(st.norm.ppf(0.818, 0, 1)) import scipy.stats as st print(st.norm.isf(0.818, 0, 1)) import scipy.stats as st print(st.norm.pdf(0.818, 0, 1)) import scipy.stats as st print(st.norm.cdf(0.818, 0, 1))