Suppose you have a sample of 2000 students from Syracuse University. Each student bought one tube of toothpaste in February 2021 and one tube of toothpaste in March 2021. They bought brands A, B, C, D, or E. The brand switching matrix is provided below:

			Mar-21
Feb-21	A	B	C	D	E
A	300	100	0	100	0
B	100	300	0	100	0
C	0	0	300	0	100
D	0	0	0	200	0
E	0	0	100	0	300

2.(a) How many students purchased B in February 2021?

(b) How many students purchased B in March 2021?

(c) How many students who bought B in February 2021 switched to other brands in March 2021? (These are people who bought B in February, but bought some other brand in March.)

(d) How many students did not buy B in February 2021, but bought B in March 2021?

(e) Based on the brand-switching matrix, which brands or brands, if any, are competitors of brand B?

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