Life satisfaction. Refer to Example 5.19 (page 313).We learned that the probability that at least 610 out of 1010 randomly selected adults would be “very satisfied” with their lives is 0.4119.

(a) In Excel, fill the first column of the spreadsheet with the numbers 610, . . . , 1010. In the second column, put the binomial probabilities P(X = k) for k = 610, . . . , 1010. (Refer to this chapter’s Appendix for guidance on Excel’s binomial builtin function.) Now, add up all the probabilities to confirm that P(X ≥ 610) is equal to 0.4119.

(b) In part (a), you needed to find 401 probabilities and then add them all up. There is, however, an easier option. Excel has a builtin function to compute P(X ≤ k) (refer again to the Appendix).

Use this built-in function to find the desired probability of 0.4119

(Hint: Be careful what you choose k to be).

(c) Do parts

(a) and

(b) using statistical software available to you.