Question

Let 𝑋 be a continuous random variable having the 𝑈(−2, 3) distribution. Then which of the following statements is correct?

• A. $2X + 5$ has the $U(1, 10)$ distribution
• B. $7 - 6X$ has the $U(-11, 19)$ distribution
• C. $3X^2 + 5$ has the $U(5, 32)$ distribution
• D. $|X|$ has the $U(0, 3)$ distribution

Answer 1

Answer: (B)

$7 - 6X$ has the $U(-11, 19)$ distribution

Answer 2

The correct option is (B): $7 - 6X$ has the $U(-11, 19)$ distribution