Question

a seed company has a test plot in which it is testing the germination of a hybrid 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 was 33 and some rows had all 40 germinate. The germination data is given below in the table. The random variable x represents the number of seed in a row th

Answer 1

Mean =
`\sum x P(x) = 36.86`

Standard deviation =
`\sum x^2P(X)=1360.9`

Explanation:

x P(x)
`x * P(x)`
`x^2 * P(x)`

33 0.02 0.66 21.78

34 0.06 2.04 69.36

35 0.1 3.5 122.5

36 0.2 7.2 259.2

37 0.24 8.88 328.56

38 0.26 9.88 375.44

39 0.1 3.9 152.1

40 0.02 0.8 32

1 36.86 1360.9

We are supposed to find mean and standard deviation

Mean =
`\sum x P(x) = 36.86`

Standard deviation =
`\sum x^2P(X)=1360.9`