Answer:
a) P(t>3)=0.30
b) P(t>10|t>9)=0.67
Step-by-step explanation:
We have a repair time modeled as an exponentially random variable, with mean 1/0.4=2.5 hours.
The parameter λ of the exponential distribution is the inverse of the mean, so its λ=0.4 h^-1.
The probabity that a repair time exceeds k hours can be written as:

(a) the probability that a repair time exceeds 3 hours?

(b) the conditional probability that a repair takes at least 10 hours, given that it takes more than 9 hours?
The exponential distribution has a memoryless property, in which the probabilities of future events are not dependant of past events.
In this case, the conditional probability that a repair takes at least 10 hours, given that it takes more than 9 hours is equal to the probability that a repair takes at least (10-9)=1 hour.


Answer:
i
Step-by-step explanation:
i^ even power
i^2 = i*i = -1
i^4 = =1
So raised to an even power, it will be either 1 or negative 1
raised to an odd power it will be either i or -i
1.) circumference: 2(pi)r (use the pi sign) Area: pi(r^2)
2.) circumference: 2(pi)5=31.4
area: pi(5^2)=78.5
I’m not sure ab number 3 sorry :\
Answer:
Beth ate 37.5% of the apples
Answer:
P= $3.5x -$30
Step-by-step explanation:
Let the number of roses Thomas bought and sold be x.
Hence the total selling price would be;
$3.5 × x= $3.5x
The profit = selling price-expenses
P= $3.5x -$30