Sharon draws a random card, from a

2022-05-01


Sharon draws a random card, from a regular deck of cards, and rolls a regular 6 sided die. What is the probability that Sharon draws a card that is a Heart and rolls a 3?

 

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Relevant Questions

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F2[X,Y](Y2+Y+1,X2+X+Y) and (F2[Y](Y2+Y+1))[X](X2+X+Y¯) are isomorphic

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Simple Linear Regression - Difference between predicting and estimating?
Here is what my notes say about estimation and prediction:
Estimating the conditional mean
"We need to estimate the conditional mean β0+β1x0 at a value x0, so we use Y0^=β0^+β1^x0 as a natural estimator." here we get
Y0^~N(β0+β1x0,σ2h00)  where  h00=1n+(x0x)2(n1)sx2
with a confidence interval for E(Y0)=β0+β1x0 is
(b0^+b1^x0csh00,b0^+b1^x0+csh00)
where c=tn2,1α2 Where these results are found by looking at the shape of the distribution and at E(Y0^) and var(Y0^)
Predicting observations
"We want to predict the observation Y0=β0+β1x0+ϵ0 at a value x0"
E(Y0^Y0)=0  and  var(Y0^Y0)=σ2(1+h00)
Hence a prediction interval is of the form
(b0^+b1^x0csh00+1,b0^+b1^x0+csh00+1)

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