Type the R transcript that evaluates three z-table cells: the cumulative area at 1.28, at −2.05, and the right tail beyond 0.67.
Type the R transcript that evaluates three z-table cells: the cumulative area at 1.28, at −2.05, and the right tail beyond 0.67.
Answer
> pnorm(1.28) [1] 0.8997274 > pnorm(-2.05) [1] 0.02018222 > 1 - pnorm(0.67) [1] 0.2514289
pnorm(z) = Φ(z), the cumulative table cell (0.8997 in the table). A negative argument needs no symmetry step in R. The right tail is 1 − pnorm; the hand value 1 − 0.7486 = 0.2514 agrees to the table's four decimals.
S21 W1 handout (R component, shape only) and W7 (pnorm/qnorm/qt checks, shape only); every transcript line is the verbatim console text of a real Rscript run (2026-09-17)