Answer:
(a) 0.06154
(b) 0.2389
(c) 0.6052
(d) 2478
Step-by-step explanation:
probability density function of the time to failure of an electronic component in a copier (in hours) is
P(x) = 1/1076e^−x/1076
λ = 1/1076
A) A component lasts more than 3000 hours before failure:
P(x>3000) = 1 − e^−3000/1076
= 0.06154
B) A component fails in the interval from 1000 to 2000 hours:
P(1000>x>2000) =1 − e^−2000/1076 − 1 +e^−1000/1076 = e^−1000/1076 − e^−2000/1076 = 0.3948 − 0.1559
= 0.2389
C) A component fails before 1000 hours:
P(x<1000) = 0.6052
D) The number of hours at which 10% of all components have failed:
e^−x/1076 = 0.1
= −x/1076
= ln(0.1)
x =(2.3026)×(1076)
x = 2478
Answer:
7. 4
8. 7
Step-by-step explanation:
7. 
Cross multiply
(division property of equality)
8. 
Cross multiply
(addition property of equality)
Divide both sides by 6
Step-by-step explanation:
Given
h = 5 mi
r = 6 mi
Surface Area of Cylinder =
Answer:
1. a (s^7)
2. b (g^11)
Step-by-step explanation:
