its com 291 can and body solve answer

Assignment 04 1. The following table shows the probability distribution for X = the number of traffic accidents reported in a day in a small city in the Rockies. X P(X) 0 0.25 1 0.30 2 0.20 3 0.10 4 0.10 5 0.05 a. What is the mean or expected number of accidents? (2) b. What is the standard deviation of the number of accidents? (2) 2. The probability that a smoke alarm will function properly and sound an alarm in the presence of smoke is 0.9. You have two such alarms in your home and they operate independently. a. What is the probability that both smoke alarms sound an alarm in the presence of smoke? Give the number and show your work. (2) b. What is the probability that neither smoke alarm sounds an alarm in the presence of smoke? Give the number and show your work. (2) c. What is the probability that at least one smoke alarm sounds an alarm in the presence of smoke? Give the number and show your work. (2)