Bird songs can be characterized by the number of clusters of syllables that are strung together in
Question:
Bird songs can be characterized by the number of clusters of "syllables" that are strung together in rapid succession. If the last cluster is defined as a "success," it may be reasonable to treat the number of clusters in a song as a geometric random variable. Does the model pX(k) = (1 − p)k−1 p, k = 1, 2, . . ., adequately describe the following distribution of 250 song lengths (100)? Begin by finding the method of moments estimate for p. Then calculate the set of "expected" frequencies.
No. of Clusters/Song Frequency
1…………………………… 132
2…………………………… 52
3…………………………… 34
4…………………………… 9
5…………………………… 7
6…………………………… 5
7…………………………… 5
8…………………………… 6
…………………………….. 250
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From Chapter 4 EX 1p Setting 1p x gives p e 1x For the given d...View the full answer
Introduction To Mathematical Statistics And Its Applications
ISBN: 9780321693945
5th Edition
Authors: Richard J. Larsen, Morris L. Marx
