You are working in a lab and need to have five clean Petri plates for your experiment tomorrow. You have eight plates prepared, but previous experience tells you that 10% of them will, on average, be contaminated and unusable by tomorrow. What is the probability that you will have six or more useable plates available tomorrow?

No Excel spreadsheets, please. I need to see the work to better understand the material.

Suppose that 20.56% of all vehicles on the road get a fuel economy of at least 35 miles per gallon (MPG). You conduct an observational study on a stretch of road outside of campus and record the make and model of 727 vehicles over a month long period. What is the probability that greater than 21.1% of the cars you observed get at least 35 MPG? (please show how to plug this into a scientific calculator) Question 4 options: 1) 0.3593 2) 0.5000 3) <0.0001 4) -23.9437 5) 0.6407

The ebola virus has an incidence rate of 15%. If the false negative is 25% and the following false positive is 30%, then find what is the conditionsl probability of an individual not having ebola, given they received a negative test result? a. 0.97 b. 0.91 c. 0.94 d. 0.88