एक यादृच्छिक चर X प्राचलों (parameters) n और p वाले द्विपद बंटन का पालन करता है। यदि इसका माध्य और प्रसरण क्रमशः 20 और 15 हैं, तो प्राचल 'p' का मान क्या होगा?

The mean and standard deviation of a Binomial distribution with parameters n, p, and q (where q = 1 - p) are respectively:

In a Binomial Distribution, the formula for calculating the standard deviation is:

Given below are two statements: Statement I: The F-distribution is defined as the ratio of two independent chi-square random variables, each divided by its respective degrees of freedom. Statement II: The Student's t-distribution is symmetric about the origin (mean = 0) with a bell shape similar to the standard normal distribution.