(Answer) 3. Assume that the data from December at Rio Ruidoso - #80103
Using this data from December at Rio Ruidoso to answer the following questions.
|
Dec |
|
4.1 |
|
4.45 |
|
5.75 |
|
5.05 |
|
5.2 |
|
4.95 |
|
4.6 |
|
4.55 |
|
4.6 |
|
4.4 |
|
4.25 |
|
4.15 |
|
4.15 |
|
4.05 |
|
4.1 |
|
4.2 |
|
4.2 |
|
4.2 |
|
3.9 |
|
3.65 |
|
3.55 |
|
3.25 |
|
3.15 |
|
3.4 |
|
3.45 |
|
3.6 |
|
3.7 |
|
3.55 |
|
3.4 |
|
3.25 |
|
3.35 |
3. Assume that the data from December at Rio Ruidoso is normally distributed. Compute the following probabilities if one day is chosen at random.
a) The probability that the stream flow will be at least 5.00 ft3/sec.
b) The probability that the stream flow will be at most 5.91 ft3/sec.
c) The probability that the stream flow will be at least 3.08 ft3/sec.
d) The probability that the stream flow will be at most 2.95 ft3/sec.
e) The probability that the stream flow will be between 2.5 ft3/sec and 3.5 ft3/sec.
f) The probability that the stream flow will be between 4.00 ft3/sec and 5.56 ft3/sec.
4. Repeat question 3 (a-f) when 7 days are chosen at random.
5. Again, using the data from December and supposing that the data is approximately normally distributed, find the following.
a) The 30th percentile.
b) The score that separates the top 70 percent from the bottom 30 percent.
c) P846. Using the data from December, answer the following.
a) Approximately how many scores fall within 2 standard deviations from the mean?
b) At least how many scores fall within 1.94 standard deviations from the mean?
c) Approximately how many scores fall within 1 standard deviation from the mean?
d) At least how many scores fall within 2.75 standard deviations from the mean?
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