(a) List at least five examples of a discrete variable and five continuous variables.

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PROBLEM # 2: Understanding Discrete and Continuous Random Variables in Hydrology
(a)
(b)
(c)
(d)
(e)
(f)
List at least five examples of a discrete variable and five continuous variables.
Compute the mean temperature for the following dataset.
Temperature (C)
32
35 28 30
Number of days 1 5
10
5
Compute the arithmetic mean of the flow dataset as given below.
Year Flow (ft³/s)
Flow (ft³/s)
1939
49700
1940
5150
1941
40500
1942
49900
1943
39700
1944
47800
1945
6290
1946
1947
1948
1949
1950
1951
1952
1953
1954
1955
1956
1957
1958
12100
16000
20800
12200
40200
11000
11600
15500
27800
45100
28800
40800
1959
1960
1961
36900
8230
67000
15200
54300
23400
12300
14700
19100
18800
49100
37
2
Year
1962
1963
1964
1965
1966
1967
1968
1969
1970
1971
1972
1973
1974
1975
1976
1977
1978
1979
1980
1981
1982
1983
1984
20 23
2
5
23000
21700
12600
51800
60200
21300
29900
16100
110000
31100
68600
64200
11300
23900
112000
23600
Find the median and mode class of the flow dataset stated in part-c.
Compute the variance, standard deviation, and coefficient of variation of the flow data set stated in part-c.
Compute the coefficient of skewness and coefficient of kurtosis of the flow data stated in part-c.
Transcribed Image Text:PROBLEM # 2: Understanding Discrete and Continuous Random Variables in Hydrology (a) (b) (c) (d) (e) (f) List at least five examples of a discrete variable and five continuous variables. Compute the mean temperature for the following dataset. Temperature (C) 32 35 28 30 Number of days 1 5 10 5 Compute the arithmetic mean of the flow dataset as given below. Year Flow (ft³/s) Flow (ft³/s) 1939 49700 1940 5150 1941 40500 1942 49900 1943 39700 1944 47800 1945 6290 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 12100 16000 20800 12200 40200 11000 11600 15500 27800 45100 28800 40800 1959 1960 1961 36900 8230 67000 15200 54300 23400 12300 14700 19100 18800 49100 37 2 Year 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 20 23 2 5 23000 21700 12600 51800 60200 21300 29900 16100 110000 31100 68600 64200 11300 23900 112000 23600 Find the median and mode class of the flow dataset stated in part-c. Compute the variance, standard deviation, and coefficient of variation of the flow data set stated in part-c. Compute the coefficient of skewness and coefficient of kurtosis of the flow data stated in part-c.
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