Exercises for
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1. Compute the sampling distribution for two tosses of a fair coin; X = 1 for heads, and X = 0 for tails.
Answer
2. Compute the sampling distribution for two tosses of a fair die; X = 1 for an even number, and X = 0 for an odd number.
3. Compute the sampling distribution for two tosses of an unfair coin, where P(H) = 0.25 and P(T) = 0.75; X = 1 for heads, and X = 0 for tails.
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4. Compute the sampling distribution for two tosses of a fair die, X = 1 for a 1 or 2 number, and X = 0 for any other number.
5. Consider the following probability ditribution.
| X | 0 | 1 | 5 |
| P(X=x) | 1/3 | 1/3 | 1/3 |
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for samples of size n = 2.
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6. Consider the following probability ditribution.
| X | -1 | 0 | 3 |
| P(X=x) | 1/4 | 1/4 | 1/2 |
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for samples of size n = 2.
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7. Select the correct options to make the following sentence correct.
8. Select the correct options to make the following sentence correct.
9. According to a 1995 study, the mean family income in the US was $38,000 with a standard deviation of 21,000. If a consulting agency surveys 49 families at random, what is the probability that it finds a mean family income of more than $41,500? Answer
10. According to coach Simon, the average height of male soccer players in the US is normally distributed with mean 1.79 m with a standard devation of 0.04 m.
(a) In a randomly selected soccer team of 11 players, what is the probability that the averge height of the players is less than 1.77 m?
(b) In view of the small sample size, must you make any additional assumptions to justify the answer? Explain
Answer
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