Answer:
The probability of failure of both the bulbs is 0.4323.
Step-by-step explanation:
For an exponential distribution the distribution is given by
The value of λ is related to the mean μ as λ=1/μ,
Let us denote the 2 bulbs by X and Y thus the probability distribution of the 2 bulbs is as under
Similarly for the bulb Y the distribution function is given by
Thus the probability for both the bulbs to fail within 1500 hours is
F(4)=6(4) +3
= 24+3=27
F(4)=27.
Explanation:
There are 12 months in a year, if we chose 25 random dates we'll have two dates per month
2x12=24
and one extra day that will fit in another month.
The principle used for this kind of problem is the<em> pigeonhole principle</em>, supposing we have a number k of pigeonholes and n pigeons to be placed in them, If the number of pigeons is bigger than the pigeonholes, there will be at least one pigeonhole with more than one pigeon.
This happens with our problem, 25 days is a larger number than 12 months two times (24), this means we'll choose at least one month three times.
I hope you find this information useful! good luck!
Answer:
y=1
Step-by-step explanation:
6=2(y+2)
divide by 2 from both sides - 3=y+2
subtract 2 from both sides - 1=y
flip - y=1
Answer:
2.0 mph
Step-by-step explanation:
Considering a straight-line displacement, the current has a velocity acting on the same axis at which the motorboat is traveling. Assume that the current's velocity is positive in the downstream leg of the trip, the velocity of the current can be determined by:
The speed of the current is 2 miles per hour.