In a clinical study, volunteers are tested for a gene that has been found to increase the risk for a disease. The probability that a person carries the gene is 0.1. People are assumed to be independent with respect to the gene. What is the probability that four or more people need to be tested to detect two with the gene?

Computer keyboard failures are due to faulty electrical connects (12%) or mechanical defects (88%). Mechanical defects are related to loose keys (27%) or improper assembly (73%). Electrical connect defects are caused by defective wires (35%), improper connections (13%), or poorly welded wires (52%). Find the probability that a failure is due to improperly connected or poorly welded wires.

Observe the plant with orange leaves. Which color of light is least likely to power photosynthesis because it’s being reflected?  

The Calvin cycle is like running your house on solar batteries. Why can’t your “house” (Calvin cycle) keep running at night?

Select all statements that accurately describe energy flow in plants and animals.

Suppose that the lifetime of a component (in hours), X, is modeled with a Weibull distribution with and . Determine P(X>6000|X>3000).

An engineer is participating in a research project on the title patterns of junk emails. The number of junk emails which arrive in an individual’s account every hour follows a Poisson distribution with a mean of 1.2. What is the probability that an individual receives more than two junk emails for the next three hours?

Provide a diagnosis for each tumor presented above. 

Madison Company’s stockholders’ equity balance on January 1, 2025 was $300,000.  During January, Madison had the following transactions for the month of January: Performed services for $50,000 in cash. Paid rent for the month of January of $3,000. Issued 10 shares of stock for $20,000 in cash. Purchased inventory of $8,000 on account. What was Madison’s ending stockholders’ equity balance as of January 31, 2025?

Pancreatitis is best diagnosed with results from what test(s)?