Tossing a triple of coins
We have a red coin, for which P(Heads)=0.4, a green coin, for which P(Heads)=0.5, and a yellow coin, for which P(Heads)=0.6. The flips of the same or of different coins are independent. For each of the following situations, determine whether the random variable N can be approximated by a normal.
If yes, enter the mean and variance of N. If not, enter 0 in both of the corresponding answer boxes.
1) Let N be the number of Heads in 300 tosses of the red coin.
mean:
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Variance:
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2) Let N be the number of Heads in 300 tosses. At each toss, one of the three coins is selected at random (either choice is equally likely), and independently from everything else.
mean:
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variance:
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3) Let N be the number of Heads in 100 tosses of the red coin, followed by 100 tosses of the green coin, followed by 100 tosses of the yellow coin (for a total of 300 tosses).
mean:
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variance:
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4) We select one of the three coins at random: each coin is equally likely to be selected. We then toss the selected coin 300 times, independently, and let N be the number of Heads.
mean:
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variance:
unanswered
3 answers