Speedy oil provides a single-channel automobile oil change and lubrication service. customers provide an arrival rate of 2.5 cars per hour. the service rate is 5 cars per hour. assume arrivals follow poisson probability distribution and that service times follow an exponential probability distribution. a. what is the average number of cars in the system? b. what is the average time that a car waits for the oil and lubrication service to begin? c. what is the average time a car spends in the system? d. what is the probability that an arrival has to wait for service?

Kyle and elijah are planning a road trip to california. their car travels 3/4 of a mile per min. if they did not stop driving, how many miles could kyle and elijah drove in a whole day? ? 1 day = 24 hours. plzzz write a proportion i will give you 100 points

C. using a standard deck of 52 cards, the probability of selecting a 4 of diamonds or a 4 of hearts is an example of a mutually exclusive event. true of false

Stu and ambrose are working together on a study of whether diet is related to students' mental health. first, they randomly select 10 students from the student center and 10 students from the office of counseling and psychological services. then, they ask students to rate their diet in terms of healthiness on a scale of 1-100 before completing a 20-item mental health survey. a) name one of the constructs being studied b) how was the construct you named above operationally defined in this experiment? e) was the variable you described above their independent variable, their dependent variable, or a controlled variable? d) what is a confounding variable? what is a potential confound in this study?