What is the probability of observing at least 60 cardinal birds in 2012? (Hint: Apply a continuity correction where appropriate.) The observers wish to identify a normal range for the number of cardinal birds observed per year. The normal range will be defined as the interval (L, U), where L is the largest integer ≤ 15th percentile and U is the smallest integer ≥ 85th percentile .  mean= 61.71 standard deviation= 9.58 probability of at least 60 birds in 2012 is 0.5714 i was able to figure out all of this but am having trouble finding the exact interval.

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What is the probability of observing at least 60 cardinal birds in 2012? (Hint: Apply a continuity correction where appropriate.)

The observers wish to identify a normal range for the number of cardinal birds observed per year. The normal range will be defined as the interval (L, U), where L is the largest integer ≤ 15th percentile and U is the smallest integer ≥ 85th percentile . 

mean= 61.71

standard deviation= 9.58

probability of at least 60 birds in 2012 is 0.5714

i was able to figure out all of this but am having trouble finding the exact interval.

Ornithology
The Christmas Bird Count (CBC) is an annual tradition in
Lexington, Massachusetts. A group of volunteers counts the
number of birds of different species over a 1-day period.
Each year, there are approximately 30-35 hours of obser-
vation time split among multiple volunteers. The following
counts were obtained for the Northern Cardinal (or cardinal,
in brief) for the period 2005-2011.
TABLE 5.9 Number of Cardinals observed
Year
2005
2006
2007
2008
Christmas Day, 2005-2011, Lexington,
Massachusetts
Number
76
47
63
53
Year
2009
2010
2011
Note: Σ * = 432, Σx = 27,212
i=1
Number
62
69
62
Transcribed Image Text:Ornithology The Christmas Bird Count (CBC) is an annual tradition in Lexington, Massachusetts. A group of volunteers counts the number of birds of different species over a 1-day period. Each year, there are approximately 30-35 hours of obser- vation time split among multiple volunteers. The following counts were obtained for the Northern Cardinal (or cardinal, in brief) for the period 2005-2011. TABLE 5.9 Number of Cardinals observed Year 2005 2006 2007 2008 Christmas Day, 2005-2011, Lexington, Massachusetts Number 76 47 63 53 Year 2009 2010 2011 Note: Σ * = 432, Σx = 27,212 i=1 Number 62 69 62
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