# Question: The average number of cars per hour arriving at a

The average number of cars per hour arriving at a toll booth is 57 while the standard deviation is 15.

(a) Use Markov’s inequality to find an upper bound on the probability of having more than 200 cars arrive in an hour.

(b) Use Chebyshev’s inequality to find an upper bound on the probability of having more than 200 cars arrive in an hour.

(a) Use Markov’s inequality to find an upper bound on the probability of having more than 200 cars arrive in an hour.

(b) Use Chebyshev’s inequality to find an upper bound on the probability of having more than 200 cars arrive in an hour.

**View Solution:**## Answer to relevant Questions

In a certain communication system, bits are encoded into blocks of length 128 bits. Error correction techniques are used such that the block will be decoded correctly as long as no more than 7 of the 128 bits are received in ...Following the lead design an optimum 2- bit quantizer for a signal whose samples follow a triangular PDF, (a) Find the four quantization levels, { y1 ,y2 ,y3 ,y4}, and the three boundary points, { x1, x2, x3}. (b) Find the ...Suppose X is a Gaussian random variable with a mean of µ and a variance of σ2 ( i. e., X ~ N( µ, σ2)). Find an expression for E [|X|]. Find the first three moments of a geometric random variable whose PMF is PN (n) = (1 – p) pn , n = 0,1, 2, … . Show that the variance of a Cauchy random variable is undefined (infinite).Post your question