Assume that Y is normally distributed N(?, ?²). To find Pr(c₁ ? Y ? c₂), where c₁

Question

Assume that Y is normally distributed N(?, ?²). To find Pr(c₁ ? Y ? c₂), where c₁ < c₂ and d_i = $\frac { c _ { 1 } - \mu } { \sigma }$ , you need to calculate Pr(d₁ ? Z ? d₂)= A)?(d₂)- ?(d₁) B)?(1.96)- ?(1.96) C)?(d₂)- (1 - ?(d₁)) D)1 - (?(d₂)- ?(d₁))

Quizplus · Accepted Answer

The correct calculation for the probability Pr(d1 ≤ Z ≤ d2) for a normally distributed variable Z is the difference between the cumulative distribution function (CDF) values at d2 and d1, which is represented as Φ(d2) - Φ(d1). This formula directly calculates the probability that Z falls between d1 and d2.

Assume That Y Is Normally Distributed N(?, ?2) c1−μσ\frac { c _ { 1 } - \mu } { \sigma }σc1​−μ​

Assume That Y Is Normally Distributed N(?, ?²) $\frac { c _ { 1 } - \mu } { \sigma }$