## What is the probability that 8 cars arrive in three seconds?

1.    The number of hits on a certain website follows a Poisson distribution with a mean rate of 4 per minute.

a.   What is the probability that 5 hits are received in a given minute?

b.  What is the probability that 9 hits are received in 1.5 minutes?

c.    What is the probability that fewer than 3 hits are received in a period of 30 seconds?

2.   The number of cars arriving at a given intersection follows a Poisson distribution with a mean rate of 4 per second.

a.  What is the probability that 3 cars arrive in a given second?

b.   What is the probability that 8 cars arrive in three seconds?

c.    What is the probability that more than 3 cars arrive in a period of two seconds?

3.   A random variable X has a binomial distribution, and a random variable Y has a Poisson distribution. Both X and Y have means equal to 3. Is it possible to determine which random variable has the larger variance? Choose one of the following answers:

a.  Yes, X has the larger variance.

b.  Yes, Y has the larger variance.

c.   No, we need to know the number of trials, n, for X.

d.  No, we need to know the success probability, p, for X.

e.  No, we need to know the value of λ for Y

### import java.util.Scanner; public class TernarySearch public static int ternarySearch(int[] A, int value) return terSearch(A, 0, A.length – 1, value)

Here is your code below: – import java.util.Scanner; public class TernarySearch public static int ternarySearch(int[] A, int value) return terSearch(A, 0, A.length – 1, value); } public static int terSearch(int9….

### f you think there are good arguments for, or a proof of, God’s existence, state the arguments or the proof and defend it against your atheist friend’s objections.

If you believe in God, try to explain to an atheist friend (real or imagined) why you believe in God. • If you think there are good reasons for believing,….

### Choose one of the elements defended by the pre-Socratic philosophers (water, fire, numbers, and so on) and argue for it as well as you can, preferably with a friend or a few friends who will try to prove you wrong.

Choose one of the elements defended by the pre-Socratic philosophers (water, fire, numbers, and so on) and argue for it as well as you can, preferably with a friend or….