Question

Please answer the following question correctly and completely. Please write neatly and show all work.

2. In a study of author productivity ("Lotka's Test," Collection Mgmt., 1982: 111-118), a large number of authors were classified according to the num- ber of articles they had published during a certain period. The results were presented in the accompanying frequency distribution: 1 2 784 204 3 4 127 50 5 33 6 28 7 8 19 19 Number of papers Frequency Number of papers Frequency 9 6 10 7 11 6 12 7 13 4 14 4 15 5 16 3 17 3 a. What proportion of these authors published at least five papers? b. What proportion of these authors published less than five papers?

Answer 1

	# of papers	Frequecy	Rel . Freq
	1	784	0.59893048
	2	204	0.15584416
	3	127	0.09702063
	4	50	0.0381971
	5	33	0.02521008
	6	28	0.02139037
	7	19	0.0145149
	8	19	0.0145149
	9	6	0.00458365
	10	7	0.00534759
	11	6	0.00458365
	12	7	0.00534759
	13	4	0.00305577
	14	4	0.00305577
	15	5	0.00381971
	16	3	0.00229183
	17	3	0.00229183
sum		1309	1

(a) Plat least spapers) = P(x>5) = 1 - P(x45) - 1-T0.5989 +0.1558 + 0.097 0 + 0.0382 = 10.1101 (6) P(x <S) = 0.5989 + 0.1558 t 0.09704 0.0382 - (0.8899 G C Note: Round ass decimals according to Your answer