A seed compnay has a test plot in which it is testing the germination of a hybird seed. They plant 50 rows of 40 seeds per row. After a two-week period, the researchers count how many seed per row have sprouted. They noted that least number of seeds to germinate was33 and some rows had all 40 germinates. The germination data is given below. The random variable x represents the number of seed in a row that germinates and P(x) represents the probability of selecting a row with that number of seeds germinating. Determine the standard deviation of the number of seeds per row that germinated.
x: 33 34 34 36 37 38 39 40
P(x):0.02 0.06 0.10 0.20 0.24 0.26 0.10 0.02