The probability that a continuous random variable falls inside an interval $[c, d]$ corresponds to:
AThe height of $f$ at $c$
BThe slope of $f$ between $c$ and $d$
CThe area under $f(x)$ between $x = c$ and $x = d$
D$d - c$ always
Answer & Solution
Correct answer: C. The area under $f(x)$ between $x = c$ and $x = d$
$P[c < X < d] = \int_c^d f(x)\,dx$ — the area under the p.d.f. curve between $c$ and $d$. Total area over the support = 1.
Related questions
In the expansion of a bracket raised to four, the sum of indices is:How many terms are in the expansion of a bracket raised to twelve?How many terms are in the expansion of a bracket raised to five?In the last term of the expansion, the index of b is:In the first term of the expansion, the index of b is:In the first term of the expansion, the index of a is:The general rule for expansion is built using the concept of:Why is Pascal's triangle awkward for a large index?