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प्रश्न
Following is the p. d. f. of a continuous r.v. X.
f(x) = `{(x/8, "for" 0 < x < 4),(0, "otherwise".):}`
Find F(x) at x = 0.5, 1.7 and 5.
उत्तर
To find
a. F(x) at x = 0.5
∴ F(0.5) = `(0.5)^2/(16) = (0.25)/(16) = (1)/(64)`
b. F(x) at x = 1.7
∴ F(1.7) = `(1.7)^2/(16) = (2.89)/(16)`
c. F(x) at x = 5
∴ F(5) = 1 ...`[("f"(x) = 0 "if" x ∉ (0.4)),(therefore "F"(x) = 1 "for" x ≥ 4)]`
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