MATH 110 exam 4 SUMMER 2025 Portage learning

Question 1 7/7pts



You may find the following files helpful throughout the
exam:
Statistics Equation Sheet &
Standard Normal Table &


Afactory has six safety systems. During an emergency, the
probability of any one of the safety systems failing is .05.
What is the probability that five or more safety systems will
fail during an emergency?

Your Answer:

For exactly 5 failures let

n=6

x=5

p=0.05
PSR —

For exactly 6 failures let
n=6

x=6

p=0.05
0= (1 -pj- = 055512 L0 055

, the probability of 5 or more failures= 1.78x10%-6 +
1.6x10"-8 = 1.796x10*-6




For five, we have 1ne6, x=5, and pe.05.
Mo
TP 0PI ean= G
8w08 - 09 ookanizecird
= 17810
For s, w0 have 1=, x=6, and p=05.
' o
()= (1= py* = 05°(1-0S)** =1.56x10*
e ! n—x)"( L 61(6-6)! ¢ y

0, the probabiyo five o six faling:
178X10° +1.56x10°* =1796x10*