MCQs Probability Quiz 10

The post is about the Online MCQs Probability Quiz. There are 20 multiple-choice questions covering topics related to random experiments, random variables, expectations, rules of probability, events and types of events, and sample space. Let us start with the Probability Quiz.

Online MCQs Probability Quiz with Answers

• Consider a dice with the property that the probability of a face with $n$ dots showing up is proportional to $n$. What is the probability of the face showing 4 dots?
• Let $X$ be a random variable with a probability distribution function $$f (x) = \begin{cases} 0.2 & \text{for  } |x|<1 \ 0.1 & \text{for } 1 < |x| < 4\ 0 & \text{otherwise} \end{cases}$$ The probability P (0.5 < x < 5) is ————-
• Runs scored by batsmen in 5 one day matches are 50, 70, 82, 93, and 20. The standard deviation is ————-.
• Find the median and mode of the messages received on 9 consecutive days 15, 11, 9, 5, 18, 4, 15, 13, 17.
• $E (XY)=E (X)E (Y)$ if $x$ and $y$ are independent.
• Mode is the value of $x$ where $f(x)$ is a maximum if $X$ is continuous.
• A coin is tossed up 4 times. The probability that tails turn up in 3 cases is ————–.
• If $E$ denotes the expectation the variance of a random variable $X$ is denoted as?
• $X$ is a variate between 0 and 3. The value of $E(X^2)$ is ————-.
• The random variables $X$ and $Y$ have variances of 0.2 and 0.5, respectively. Let $Z= 5X-2Y$. The variance of $Z$ is?
• In a random experiment, observations of a random variable are classified as
• A number of individuals arriving at the boarding counter at an airport is an example of
• If $A$ and $B$ are independent, $P(A) = 0.45$ and $P(B) = 0.20$ then $P(A \cup B)$
• If a fair dice is rolled twice, the probability of getting doublet is
• If a fair coin is tossed 4 times, the probability of getting at least 2 heads is
• If $P(B) \ne 0$ then $P(A|B) = $
• The collection of all possible outcomes of an experiment is called
• An event consisting of one sample point is called
• An event consisting of more than one sample point is called
• When the occurrence of an event does not affect the probability of occurrence of another event, it is called

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