# word math probability problems algebra homework help

**PLEASE SHOW ALL WORK USING EXCEL QM**

**1. ****Patients arrive at the emergency room of Costa Valley Hosipital at an average of 5 per day. The demand for emergency room treatment at Costa Valley follows a Poisson distribution.**

**(a) Using a Poisson appendix, compute the probability of exactly 0,1,2,3,4 and 5 arrivals per day.**

**(b) What is the sum of these probabilities, and why is the number less than 1?**

**Please show work. Thank you..**

**2. cars arrive at carlas muffler shop for repair work at an average of 3 per hour, following an exponential distribution.**

**(a) what Is the expected time between arrivals?**

**(b) what is the variance of the time between arrivals?**