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If y is normal distribution random variable with mean μ = 10 and standard deviation σ = 2. z is standard normal variable and F(Z) is cumulative…

CUET UG 2025 — Mathematics Algebra

2025mcqmedium

If yyy is normal distribution random variable with mean μ=10\mu = 10μ=10 and standard deviation σ=2\sigma = 2σ=2. zzz is standard normal variable and F(Z)F(Z)F(Z) is cumulative distribution function, then which of the following are true?

[Given that F(1.5)=0.9332F(1.5) = 0.9332F(1.5)=0.9332, F(3)=0.9986F(3) = 0.9986F(3)=0.9986, F(2.25)=0.9878F(2.25) = 0.9878F(2.25)=0.9878 and F(1)=0.8413F(1) = 0.8413F(1)=0.8413]

(A) P(X<13)=0.9332P(X < 13) = 0.9332P(X<13)=0.9332

(B) P(X>16)=0.9986P(X > 16) = 0.9986P(X>16)=0.9986

(C) P(12<X<14.5)=0.1465P(12 < X < 14.5) = 0.1465P(12<X<14.5)=0.1465

(D) P(X>8)=0.8413P(X > 8) = 0.8413P(X>8)=0.8413

Choose the correct answer from the options given below:

Official previous-year question

Held on 13 May 2025 · Verified 13 Jul 2026.

Options

  1. A

    (A) and (D) only

  2. B

    (A), (B) and (C) only

  3. C

    (B), (C) and (D) only

  4. D

    (A), (C) and (D) only

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