A38 TRY IT YOURSELF ANSWERS 3. 40 W R B G C M T W R B G T W R B G C M T W R B G T W R B G C M T W R B G T W R B G C M T W R B G T F G H T 4. (1) 308,915,776 (2) 165,765,600 (3) 261,390,272 (4) 106,932,384 5. (1) 0.019 (2) 0.25 (3) 1 6. 0.072 7. 0.182 8. Empirical probability 9. 0.847 10. 0.313 11. 1 10,000,000 Section 3.2 1. 0.263 2. (1) Dependent (2) Independent 3. (1) 0.723 (2) 0.059 4. (1) 0.729 (2) 0.001 (3) 0.999 5. (1) 0.163 (2) 0.488 Both of the events are not unusual because their probabilities are not less than or equal to 0.05. Section 3.3 1. (1) Not mutually exclusive; the events can occur at the same time. (2) Mutually exclusive; the events cannot occur at the same time. 2. (1) 0.667 (2) 0.423 3. 0.222 4. (1) 0.149 (2) 0.149 (3) 0.910 (4) 0.499 5. 0.839 Section 3.4 1. 3,628,800 2. 336 3. 11,880 4. 77,597,520 5. 1140 6. 0.003 7. 0.0009 8. 0.045 Chapter 4 Section 4.1 1. (1) The random variable is continuous because x can be any speed up to the maximum speed of a rocket. (2) The random variable is discrete because the number of calves born on a farm in one year is countable. (3) The random variable is discrete because the number of days of rain for the next three days is countable. 2. x f P(x) 0 16 0.16 1 19 0.19 2 15 0.15 3 21 0.21 4 9 0.09 5 10 0.10 6 8 0.08 7 2 0.02 n = 100 ΣP1x2 = 1 Number of sales per day Probability 0.15 0.10 0.05 0.20 0 1 2 3 4 5 6 7 New Employee Sales P(x) x 3. Each P1x2 is between 0 and 1 and ΣP1x2 = 1. Because both conditions are met, the distribution is a probability distribution. 4. (1) Probability distribution. The probability of each outcome is between 0 and 1, and the sum of all the probabilities is 1. (2) Not a probability distribution. The sum of all the probabilities is not 1. 5. m = 2.6. On average, a new employee makes 2.6 sales per day. 6. s 2 ≈ 3.7; s ≈ 1.9 7. -$3.08. Because the expected value is negative, you can expect to lose an average of $3.08 for each ticket you buy. Section 4.2 1. Binomial experiment n = 10, p = 0.25, q = 0.75, x = 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 2. 0.088 3. x P(x) 0 0.156 1 0.351 2 0.316 3 0.142 4 0.032 5 0.003 ΣP1x2 = 1 4. 0.006 5. (1) 0.152 (2) 0.183 (3) 0.817 6. 0.176
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