CUET · MATHS · PYQ PAPER 2025
If the random variable \(X\) is normally distributed with mean 16 and standard deviation 4,
then the standard normal variable \(Z\) corresponding to \(X=17\) is
- A 1.25
- B -1.25
- C -0.25
- D 0.25
Answer & Solution
Correct Answer
(D) 0.25
Step-by-step Solution
Detailed explanation
\(Z = \frac{X - \mu}{\sigma}\) \(Z = \frac{17 - 16}{4}\) \(Z = 0.25\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from MATHS
- If \(\vec{p}\) and \(\vec{q}\) are two unit vectors such that \(|\vec{p}+\vec{q}|=\sqrt{2}\), then which of the following are correct?
(A) \(|\vec{p}|=|\vec{q}|=1\)
(B) \(\vec{p}\) and \(\vec{q}\) are orthogonal vectors
(C) \(\vec{p}\) and \(\vec{q}\) are collinear vectors
(D) \((4 \vec{p}-\vec{q}) \cdot(2 \vec{p}+\vec{q})=7\)
Choose the correct answer from the options given below :CUET 2025 Hard - Which of the following statements are correct?
(A) If \(E\) and \(F\) are independent events then \(P(E \cap F)=P(E) P(F)\)
(B) If \(E\) and \(F\) are mutually exclusive events, then \(P(E \cup F)=P(E)+P(F)-P(E) P(F)\)
(C) The conditional probability of an event \(E\), given the occurrence of the event \(F\) is given by \(\frac{P(E \cap F)}{P\left(F^{\prime}\right)}, P(F) \neq 0\)
(D) If \(E\) and \(F\) be the events associated with the sample space \(S\) of an experiment, then \(P(\bar{E} \mid F)=2-P(E \mid F)\)
Choose the correct answer from the options given below:CUET 2025 Easy - The integrating factor of the differential equation \(x \frac{d y}{d x}-y=\sin x\) is :CUET 2023 Medium
- The radius of spherical balloon is decreasing at the rate of \(0.1 cm / sec\), the rate at which its volume is decreasing, when its radius is 0.5 cm is:CUET 2025 Hard
- The solution of the system of equations \(2 x+\frac{1}{2} y-z=1,2 y=3, x+2 z=4\) is :CUET 2025 Medium
- In binomial distribution with \(n =10\) and \(P =1\), the probability of the event that unequal number 3 of failures and successes occur is:CUET 2023 Hard
More PYQs from CUET
- Match List-I with List-II
Choose the correct answer from the options given below :List-I (Equationof Lines) List-II (Information) (A) \(\vec{r}=(3 \hat{i}-2 \hat{j}+\hat{k})+\lambda(\hat{j}-2 \hat{k})\) (I) Direction ratios are \(2,4,-1\) (B) \(\frac{2-x}{1}=\frac{2 y+1}{4}, z=2\) (II) Perpendicular to \(2 \hat{i}-\hat{j}+\hat{k}\) (C) \(\frac{x}{1}=\frac{y-3}{2}=\frac{3-4 z}{2}\) (III) Passing through the point \((3,-2,1)\) (D) \(\vec{r}=(3 \hat{i}+2 \hat{j}+\hat{k})+\lambda(2 \hat{i}+\hat{j}-3 \hat{k})\) (IV) Direction ratios are \(-1,2,0\) CUET 2025 Medium - On connecting a device X in a series circuit with a battery and a resistor, a current passes through the circuit. On reversing the polarity of the battery, the current in the circuit drops to almost zero. The device X may be aCUET 2025 Medium
- What will be the time taken by light to travel 2 cm thickness of glass of refractive index 1.5?CUET 2023 Hard
- What is the product formed when tertiary alcohol is treated with alkaline \(KMnO _4\) at elevated temperature?CUET 2025 Easy
- Which of the following shows the least value for standard enthalpy of atomization?CUET 2025 Hard
- An electron of mass \( 9.11 \times 10^{-31} \text{ kg} \) is moving with velocity \( 5.4 \times 10^6 \text{ m/s} \). Its momentum will beCUET 2025 Easy