B find p x 8 4 06255 c find x such that px x 0 95

This preview shows page 1 - 3 out of 3 pages.

(b)Find P(X ≥ 8.4).
(c)Find x such that P(X x) = 0.95.
(d)Find P(7.5 ≤ X ≤ 15).
2.To celebrate their 30th birthdays, brothers Mario and Luigi wish to study the distribution of heights of theirenemies, the Goombas. Their reasoning is that shorter Goombas are easier to jump on. (Goombas die whenMario and Luigi jump on them.)(a)If we assume that the population of Goomba heights is normally distributed with mean 12 inches andstandard deviation 6 inches, what is the probability that a randomly chosen Goomba’s height is between13 and 15 inches?
(b)Koopa Troopas, another enemy of Mario & Luigi, have normally distributed heights, with mean 15 inchesand standard deviation 3 inches. How tall must a Koopa Troopa be so that it’s taller than the shortest75% of Goombas? What percentage of Koopa Troopas are this tall, or taller?
(c)How tall must a Goomba be so that it’s taller than the shortest 75% of Koopa Troopas? What percentageof Goombas are this tall, or taller?
1Stat 371 Spring 2017Homework 3

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture