When ‘p’ = 0.5, the(a) Asymmetrical.(b) Symmetrical.(c) Both of above.(d) None of above

To determine the nature of the distribution when $p = 0.5$:

1. Break Down the Problem

   We need to assess whether a probability distribution is asymmetrical, symmetrical, both, or neither based on the value of $p$.

2. Relevant Concepts

   The parameter $p$ typically represents the probability of success in a binomial distribution. For a binomial distribution:

   • If $p = 0.5$, the distribution is perfectly symmetrical around its mean.
   • If $p$ is less than or greater than $0.5$, the distribution becomes asymmetrical.

3. Analysis and Detail

   • When $p = 0.5$:
     • The distribution has equal probabilities of success and failure.
     • The mean of the distribution is equal to the median and mode, confirming its symmetry.

4. Verify and Summarize

   Since $p = 0.5$ leads to a symmetrical distribution, we verify that there's no skewness. Thus, the information points to option (b) being correct.

Final Answer

(b) Symmetrical.