Recent questions tagged probability-and-statistics

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Two players, $A$ and $B$, alternately keep rolling a fair dice. The person to get a six first wins the game. Given that player $A$ starts the game, the probability that $...
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A random variable $X$ has probability density function $f(x)$ as given below:$ f(x)= \begin{cases} a+bx & \text{ for } 0 < x < 1 \\ 0 & \text{otherwise} \end{cases}$If...
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The probabilities that a student passes in Mathematics, Physics, and Chemistry are $m, p,$ and $c$ respectively. Of these subjects, the student has $75\%$ chance of passi...
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Given set $A=\left\{ 2, 3, 4, 5\right\}$ and set $B=\left\{ 11, 12, 13, 14, 15\right\}$, two numbers are randomly selected, one from each set. What is the probability tha...
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Let the probability density function of a random variable, $X$, be given as:$f_{x}(x)=\frac{3}{2}e^{-3x}u(x)+ae^{4x}u(-x)$where u(x) is the unit step function.Then the va...
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Shaquille 'O' Neal is a $60\%$ career free throw shooter, meaning that he successfully makes $60$ free throws out of $100$ attempts on average. What is the probability th...
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Candidates were asked to come to an interview with $3$ pens each. Black, blue, green and red were the permitted pen colours that the candidate could bring. The probabilit...