Assuming that half of the populatio is vegetarian so that the chance of an individual being a vegetarian is `1/2` and assuming that 100 investigators can each take a sample of 10 individuals to see whether they are vegetarians how many investigators would you expect to report that 3 people or less were vegetarians ?

Suppose that half the population of a town are consumers of rice. Each of 100 investigators interviews 10 individualas to see wheather they are consumers of rice. How many investigators do you expert to report that three or more but less than six people are consumers of rice?

A uniform magnetic field of 100 G (IG=10^(-4)T) exists in a region of length about 10 cm and area of cross- section about 10^(-3)m^(2) . The maximum current carrying capacity of a given coil of wire is 15A and the number of turns per unit length that can be wound round a core is at most 1000 turns m^(-1) . How would you utils the coil to design a solenoid for the required purpose ? Assume the core is not ferromagnetic.