In Problems 9 and 10, the random variable X follows a Poisson process with the given value of λ land t.
Assuming λ = 0.02 and t = 50, compute
(a) P(2)
(b) P(X < 2)
(c) P(X ≥ 2)
(d) P(1 ≤ X ≤ 3)
(e) μX and σX
Step 1 of 5) In Problems 9 and 10, the random variable X follows a Poisson process with the given value of λ land t. Assuming λ = 0.02 and t = 50, compute (a) P(2) (b) P(X < 2) (c) P(X ≥ 2) (d) P(1 ≤ X ≤ 3) (e) μX and σX Technology Solution Figure 4 shows the 90% confidence interval using a TI-84 Plus C graphing calculator. In Figure 4, the lower bound is 0.040. The upper bound is 0.104. Interpretation We are 90% confident that the difference between the proportion of adult Americans who believed that the state of moral values in the country as a whole was getting worse from 2002 to 2014 is the between 0.040 and 0.104. To put this statement into everyday language, we might say that we are 90% confident that the percentage of adult Americans who believe that the state of moral values in the country as a whole was getting worse increased between 4% and 10.4% from 2002 to 2014.