Determine whether the random variables is discrete or continuous

Determine whether the random variable is discrete or continuous. a. The number of fish caught during a fishing tournament. b. The number of bald eagles in the country. c. The time it takes for a light bulb to burn out. d. The amount of snowfall. e. The square footage of a house. a. Is the number of fish caught during a fishing tournament discrete or continuous? OA. The random variable is continuous. OB. The random variable is discrete.1. Let W(t) denote a zero mean white noise process with power spectral density No/2 Watts/Hz. The process is passed through an ideal lowpass filter with transfer function H(f) = J 1, If SB 0, otherwise. Let Y (t) denote the output of the filter. a) What is the autocorrelation function of the white noise process W(t)? b) Is the output process Y(t) wide-sense stationary? Explain. c) What is the power spectral density of Y(t)? d) Find and plot the autocorrelation function of the output process Y(t)? e) Find the power Py of the process Y (t). f) Find the covariance cov(Y (t), Y(t + 2/B))