The number of damaged eggs, D, in cartons of six eggs have been recorded by an inspector at a packing depot. The following table shows the frequency distribution of some of the numbers of damaged eggs in 150000 boxes.

The distribution of D is to be modelled by D~B(6, p).

a. Estimate a suitable value for p, correct to 4 decimal places.

b. Calculate estimates for the value of a and of b.

c. Calculate an estimate for the least number of additional cartons that would need to be inspected for there to be at least 8400 cartons containing one damaged egg.

Transcribed Image Text:

No. damaged eggs (D) 3. 4 No. cartons () 141 393 8396 2.