S-Practice -Lab 1

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University of Ottawa *

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2382

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Statistics

Date

Feb 20, 2024

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docx

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Uploaded by PresidentFlowerShark42

Solution Questions for Lab-1 1. Let X be a random variable following a binomial distribution with n = 20 trials and probability of success p = 0.3. Use R/Jamovi to find the following probabilities: (a) P(X ≤ 10) = 0.983 (b) P(X ≥ 8)= 1-P(X≤ 7)=1-0.772=0.228 (c) P(X > 9) = 1-P(X≤ 9)=1-0.952=0.048 (d) P(7 ≤ X ≤ 15)= P(X≤ 15)-P(X≤ 6)= 0.999994-0.608= 0.392 (e) Find x such that P(X≤ x)=0.85 x=8 2. Let X be a random variable following a normal distribution with mean µ = 8 and standard deviation σ = 3. Use R/Jamovi to find the following probabilities: (a) P(X < 5)= 0.159 (b) P(7< X < 12) = P(X<12)-P(X<7)=0.909-0.369=0.54 (c) P(X ≥ 10)= 1-P(X<10)=1-0.748=0.252 (d) P(X>8)= 1-P(X<8)=1-0.5=0.5 (e) Find x such that P(X>x)=0.25 P(X<x)=0.75 x=10.023

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S-Practice -Lab 1

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