Discrete Mathematics

Discrete Probability Distributions

Binomial Distribution

         

A basketball player is practicing 3-pointers. If the probability that he successfully scores each shot is 45,\frac{4}{5}, what is the expected value of the points he scores after throwing 100100 shots?

Note: The player scores 3 points for each successful shot.

A basketball player is practicing 3-pointers. If the probability that he successfully scores each shot is 35,\frac{3}{5}, what is the variance of the points he scores after throwing 800800 shots?

Note: The player scores 3 points for each successful shot.

Reina throws a fair die 1616 times. What is the sum of the expected value and variance of the number of trials where she gets a multiple of 3?

A die is thrown 2121 times. Getting number 44 is considered a success. The variance of the distribution of the number of successes is _________.\text{\_\_\_\_\_\_\_\_\_}.

The probability of success in sending a character by wireless is p=37. p = \frac{3}{7}. What is the probability that 2 2 characters out of 4 4 are sent successfully?

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