Answer:
a)
To construct a tally table, we will have to present the table ranging from 150 to 156
b)
The probability of choosing a student not more than 153 in height means
[tex]\begin{gathered} Pr(h\leq153) \\ Pr(h\leq153)=\frac{n(h\leq153)}{n(S)} \\ (h\leq153)=1+5+10+16=32 \\ n(S)=50 \\ Pr(h\leq153)=\frac{n(h\leq153)}{n(S)}=\frac{32}{50}=\frac{16}{25} \end{gathered}[/tex]
Hence,
The probability of picking not more than 153cm in height is = 16/25
b ii)
To figure out the probability greater than 153cm in height
[tex]\begin{gathered} Pr(h>153) \\ Pr(h>153)=\frac{n(h>153)}{n(S)} \\ n(h>153)=10+6+2=18 \\ n(S)=50 \\ Pr(h>153)=\frac{n(h>153)}{n(S)}=\frac{18}{50}=\frac{9}{25} \end{gathered}[/tex]
Hence,
The probability of height greater than 153cm = 9/25
