STA 2e: Sect. 7.1 Worksheet #1 Simulations Name When using the Random Digit Table, sometimes you can get by with assigning a single digit to the probability of the simplest event, sometimes you must.

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  1. Click ‘Get Form’ button to download the worksheet and open it in your editing tool.
  2. Enter your name in the designated field at the top of the worksheet to personalize your submission.
  3. Review the instructions provided at the beginning of the worksheet which outline how to assign random digits based on probability.
  4. Begin filling out the questions by reading each prompt carefully. Provide answers for each question, making sure to refer back to the probability guidelines.
  5. For questions that require specific assignments of digits, ensure you adhere to the given probabilities. Write your assignments clearly for easy understanding.
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What percent of all adult American men have a weight less than 130 pounds?

100% - (50% +47.5%) = 2.5%  2.5% of adult American men weigh less than 130 pounds.

What percent of all adult American men have a weight between 130 and 205 pounds? One standard deviation =34% (205 is one standard deviation away from the mean; 130 is two standard deviations away from the mean and is = 47.5% 100- (47.5 + 34)= 18.5  18.5% of adult American men weigh between 130 and 205 pounds.

For #10-17: Elephants have the longest pregnancy of all mammals. One species of elephant has a mean gestation period of 525 days and standard deviation of 32 days. Pregnancy length follows an approximately normally distribution.

Based on the 68-95-99.7 Rule, approximately 68% of the individuals in the population have an IQ between 85 and 115. Values in this particular interval are the most frequent. Approximately 95% of the population has IQ scores between 70 and 130. Approximately 99.7% of the population has IQ scores between 55 and 145.

Therefore, the score below 91.84 fall in the lowest 25% of the distribution.

Only 2.5% of pregnancy lengths last longer than two standard deviations above the mean i.e. 525 + 2*32 = 589 days. Less than 461 days corresponds to the amount below one standard deviation from the mean. This area corresponds to (100% - 68%)/2 = 16% - so, 16% of pregnancies last less than 461 days.

[ normalcdf(-10,-1.625) ] • About 5.2% of pregnancies last less than 240 days. About 54.7% of pregnancies last less between 240 and 270 days. (c) How long do the longest 20% of pregnancies last? The longest 20% of pregnancies last at least 280 days.

Step 3: Answer the question. The longest 20% of pregnancies last longer than 279.47 days.

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