Chapter 6.3, Problem 113E

To determine

To find: The distribution for the provided distribution.

Answer to Problem 113E

The binomial distribution is used with the parameters p = $\frac{1}{4}$ and n =3.

Explanation of Solution

Given:

The number of eggs out of 4 containing bacteria is 1.

Number of eggs being used by him is less than 3.

Calculation:

The probability of success is:

  $P\left(\text{Success}\right)=\frac{1}{4}$

Number of eggs = 3

Since, the probabilities and number of eggs are independent of each other. Thus, binomial distribution is being used with the parameters p = $\frac{1}{4}$ and n =3.

Hence, the correct option is (b).