Question 466481: 1. A fair coin is thrown in the air four times. If the coin lands with the head up on the first three tosses, what is the probability that the coin will land with the head up on the fourth toss?
2. A movie theater sells 3 sizes of popcorn (small, medium, and large) with 3 choices of toppings (no butter, butter, extra butter). How many possible ways can a bag of popcorn be purchased?
3. A random variable Y has the following distribution:
Y | -1 0 1 2
P(Y)| 3C 2C 0.4 0.1 The value of the constant C is:
4. A random variable X has a probability distribution as follows:
X | 0 1 2 3
P(X) | 2k 3k 13k 2k
Then the probability that P(X < 2.0) is equal to
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 1. A fair coin is thrown in the air four times. If the coin lands with the head up on the first three tosses, what is the probability that the coin will land with the head up on the fourth toss?
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The results are independent. P(head on 4th toss) = 1/2
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2. A movie theater sells 3 sizes of popcorn (small, medium, and large) with 3 choices of toppings (no butter, butter, extra butter). How many possible ways can a bag of popcorn be purchased?
Ans: 3*3 = 9 ways
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3. A random variable Y has the following distribution:
Y | -1 0 1 2
P(Y)| 3C 2C 0.4 0.1 The value of the constant C is:
Ans: 3C+2C = 0.5
C = 0.1
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4. A random variable X has a probability distribution as follows:
X | 0 1 2 3
P(X) | 2k 3k 13k 2k
Then the probability that P(X < 2.0) is equal to
Ans: 2k+3k+13k+2k = 1
20k = 1
k = 1/20
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P(x < 2) = 2k+3k = 5(1/20) = 1/4
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Cheers,
Stan H.
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