Consider the discussion of radial probability functions in “A Closer Look” in Section. (a) What is the difference between the probability density as a function of r and the radial probability function as a function of r ? (b) What is the significance of the term 4πr2 in the radial probability functions for the s orbitals? (c) Based on Figures and 6.22, make sketches of what you think the probability density as afunction of r and the radial probability function would look like for the 4s orbital of the hydrogen atom.

▲ Figure Radial probability functions for the 1s, 2s, and 3s orbitals of hydrogen. These plots show the probability of finding the electron as a function of distance from the nucleus. As n increases, the most likely distance at which to find the electron (the highest peak) moves farther from the nucleus.

INFO 1020: Analytics II Class Notes Mon. 1/04 Chapter 4: Introduction to Probability • Experiments • What is an experiment • Deﬁnition: Any process which has a well-deﬁned set of outcomes • Example T/F question: “An experiment is a process with a set of known outcomes and a set of unknown outcomes” • Example Experiment: Toss 3 coins and...