STAT 135 Lecture 18: stat135_lec18

Sendo X~N(15,9), assinale a alternativa que contém o valor de P(12 < X < 18).

a) 15,9%
b) 84,1%
c) 62,8%
d) 42,9%
e) 68,2%

Consider the system of components connected as in the accompanying picture. Components 1 and 2 are connected in parallel, so that subsystem works if and only if either 1 or 2 works; since 3 and 4 are connected in series, that subsystem works if and only if both 3 and 4 work. If components work independently of one another and P(component works) = 0.80, calculate P(system works). (Round your answer to four decimal places.)

Let x ∼ n(2, 9). Calculate the following probabilities.

a) P(X > 2)

b) P(1 < X < 7)

c) P(-2.5 < X < -1)

d) P(-3 < X-2 < 3)