Probability

Probability Distributions Exercise 1 : Random Variable Two dice are thrown. Calculate the mean value of the random variable ‘sum of the number of spots’. Exercise 2 : Linear Continuous Distribution A random variable has the probability distribution: $$ f(x) = \begin{cases} \frac{x}{2}, & 0 \leq x \leq 2 \\ 0, & \text{otherwise} \end{cases} $$ Compute the mean value of the random variable. Exercise 3 : Binomial Probability 60% of the students who start to study for an engineering degree complete their studies and obtain a degree. What is the probability that in a group of 10 arbitrarily chosen students in the first term of study 8 will obtain a degree? ...

Probability Calculus Exercise 1 : Menu Selection A menu contains five dishes from which two can be chosen freely. Give the sample space. Exercise 2 : Card Probability A set of cards consists of 16 red and 16 black cards. What is the probability of drawing a black card out of the pile? Exercise 3 : Die Divisibility What is the probability that when tossing a die the number that appears will be divisible by 3? ...