Answer:
there are 2100 seconds in 35 minutes
Answer:
For first lamp ; The resultant probability is 0.703
For both lamps; The resultant probability is 0.3614
Step-by-step explanation:
Let X be the lifetime hours of two bulbs
X∼exp(1/1400)
f(x)=1/1400e−1/1400x
P(X<x)=1−e−1/1400x
X∼exp(1/1400)
f(x)=1/1400 e−1/1400x
P(X<x)=1−e−1/1400x
The probability that both of the lamp bulbs fail within 1700 hours is calculated below,
P(X≤1700)=1−e−1/1400×1700
=1−e−1.21=0.703
The resultant probability is 0.703
Let Y be a lifetime of another lamp two bulbs
Then the Z = X + Y will follow gamma distribution that is,
X+Y=Z∼gamma(2,1/1400)
2λZ∼
X+Y=Z∼gamma(2,1/1400)
2λZ∼χ2α2
The probability that both of the lamp bulbs fail within a total of 1700 hours is calculated below,
P(Z≤1700)=P(1/700Z≤1.67)=
P(χ24≤1.67)=0.3614
The resultant probability is 0.3614
Answer:
A. and B.
Step-by-step explanation:
A. $34 - $10= $24 hourly fee divided by 3= $8 per hour.
B. $66 - $12= $54 hourly fee divided by 6= $9 per hour.
C.$92-$8= $84 hourly fee divided by 7= $12 per hour.
D. $52.5-$0= $52.5 hourly fee divided by 3.5= $15 per hour.
E. $112-$2=$110 hourly fee divided by 5.5= $20 per hour.
So Mia and Alex are the cheapest .
