What defines a confounding variable in a study?

Your exercise routine requires you to travel to the gym, complete your workout, and return home. Suppose that the proportion of the total time for travel to the time at the gym follows a beta distribution with α = 0.5 and β =1.   What is the probability that the proportion of time for travel to the gym exceeds 0.68?

How would you combine two vectors `a` and `b` as columns in R?

The number of flaws in bolts of cloth in textile manufacturing is assumed to be Poisson distributed with a mean of 0.1 flaw per square meter. What is the probability that there are two flaws in 10 square meters of cloth?

The random variable X has probability distribution. x 1 3 5 7 9 P(X=x) 0.2 p 0.2 q 0.15   Given that E(X) = 4.5, find the values of p and q.

How does the concept of relative frequencies enhance the interpretability of frequency distributions?

What distinguishes a cumulative relative frequency distribution from a cumulative frequency distribution?

We model the gene mutation of a virus as a Poisson process. Suppose a virus mutates once every 3 months on average.  What is mean time until the fifth mutation?

For a variable measured to the nearest tenth of a unit, what is a crucial consideration when establishing interval boundaries?

A 0.75 kg neonate is receiving D13W TPN at 4 ml/hr. He is also receiving 5 ml of 20% lipids per day. A. What are the total fluids? B. What are the total calories/kg/day for all fluids? C. Calculate the GIR.