PROBABILITY DISTRIBUTION
1. Annual surveys of bird nests in a certain park consider the random variable x, representing the number of eggs in each nest.
The expected value of the distribution was found to be 1.4 eggs. The probability of a nest having at least one egg was 72%. The probability of more than 4 eggs was 2%. The standard deviation of the distribution was 1.2 eggs.
2. When considering a new carnival game, the operators consider the random variable x representing the number of wins a player gets out of 20 attempts. One new game was found to have an expected value of 7.2 wins out of 20, and the probability of getting more than 10 wins was found to be 6.5%. The probability of getting less than 2 wins was 0.2%. The number of wins out of 20 had a standard deviation of 2.1 wins.