Normal Probability Distribution MCQs 13

Test your understanding of Normal and Standard Normal distribution with these key MCQs. The Quiz Normal Probability Distribution MCQs covers probabilities, Z-scores, percentiles, transformations, and real-world applications. This Normal Probability Distribution MCQs Quiz is perfect for:

• Statistics students (GATE, UG/PG exams)
• Data analysts & scientists (interview prep)
• Competitive exams (IAS, ACT, GRE)
  Includes detailed solutions for concepts like empirical rule, quartiles, mean deviation, and CLT. Boost your stats skills now!

Online Normal Probability Distribution MCQs with Answers

• If $Z$ is a standard normal variate, then $P(-1.645 \le Z \le 1.645)$ is equal to
• If $Z$ is a standard normal variate, then $P(-2.33\le Z \le 2.33)$ is equal to
• If $Z$ is a standard normal variate, then $P(-2.575\le Z \le 2.575)$ is equal to
• If $Z$ is a standard normal variate, then $P(|Z| < 1.96)$ is equal to
• For a normal distribution with $\mu = 10, \sigma = 2$, the probability of a value greater than 10 is
• Given a random variable $X$ which is normally distributed with a mean and variance both equal to 100. The value of the mean deviation is approximately equal to
• If $X$ is a normal variate with mean 50 and standard deviation 3, the value of the quartile deviation is approximately equal to
• In a normal distribution mean is 100 and the standard deviation is 10. The values of points of infection are:
• If $X$ is a normal variate with mean 20 and variance 1.6. The respective values of $\beta_1$ and $\beta_2$ are
• If $X$ is $N(100, 5)$, the fourth central moment is
• A normal distribution has the mean $\mu=200$. If 70% of the area under the curve lies to the left of 220, the area to the right of 220 is
• Given a normal distribution with $\mu=100$ and $\sigma^2=100$, the area to the left of 100 is
• If a normal distribution with $\mu=200$ have $P(X> 22.5)=0.1587$ then $P(X<175)$ equal to
• A random variable has a normal distribution with the mean $\mu=400$. If 8% of the area under the curve lies to the left of 500, the area between 400 and 500 is
• If $Y=5x+10$ and $X$ is N(10, 25), then mean of $Y$ is
• If $X$ is a normal random variable with mean $\mu=50$ and standard deviation $\sigma = 7$, if $Y=x-7$ then standard deviation of $Y$ is
• If $X\sim N(\mu, \sigma^2)$ then $Z=\frac{X-\mu}{\sigma}$ follows
• The probability $P(Z\le 1.96)$ is approximately
• The 99th percentile of the standard normal distribution is closest to:
• If $X \sim N(10, 4)$ and $Y\sim N(15, 9)$ are independent, what is the distribution of $X+Y$?

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