IITM BS Question 29 - Week 1 Practice | Prasnya

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IITM BS Question 29 - Week 1 Practice | Prasnya

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Q29Numerical3 Marks29 Oct 2023

Suppose

X\sim\operatorname{Bernoulli}(\frac{1}{3})

,

Y\sim\operatorname{Bernoulli}(\frac{1}{2})

, and

Z\sim\operatorname{Bernoulli}(\frac{2}{3})

such that

f_{XYZ}(0,0,1)=\frac{1}{4}

and

f_{Z|Y=1}(0)=\frac{1}{3}

. Find the value of

f_{X|Y=0,Z=1}(0)

. Enter the answer correct to two decimal places.

Your answer

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Q29

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29 Oct 2023

Statistics 2 · Week 1

Q29.Suppose

X\sim\operatorname{Bernoulli}(\frac{1}{3})

,

Y\sim\operatorname{Bernoulli}(\frac{1}{2})

, and

Z\sim\operatorname{Bernoulli}(\frac{2}{3})

such that

f_{XYZ}(0,0,1)=\frac{1}{4}

and

f_{Z|Y=1}(0)=\frac{1}{3}

. Find the value of

f_{X|Y=0,Z=1}(0)

. Enter the answer correct to two decimal places.

Your Answer

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Check

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