Consider the signal x$=$sin$(2*$pi$*$t$)$;

a$.$ Give the mean for a $1\mathrm{.}5$ second sample time starting at

i$.$ t$=0$ s

ii$.$ t$=\mathrm{.}2$ s

iii. t$=\mathrm{.}4$ s

b$.$ Give the data set collected if sampled at $3$ Hz for $5$ seconds.

i$.$ Plot this data

ii$.$ Does it look like the original signal?

iii. Try to draw a sin function of frequency $4$ Hz over the data points you plotted.

Does it fit?