Advertisements
Advertisements
प्रश्न
If electricity power failures occur according to a Poisson distribution with an average of 3 failures every twenty weeks, calculate the probability that there will not be more than one failure during a particular week
Advertisements
उत्तर
In a poisson distribution
Mean (λ) = `3/20` = 0.15
P(X = x) = `("e"^(-lambda) lambda^x)/(x!)`
P(not be more than one failure) = P(X ≤ 1)
P(X = 0) + P(X = 1)
= `("e"^(-0.15) (0.15)^0)/(0!) + ("e"^(-0.15) (0.15)^1)/(1!)`
= `"e"^(-0.15) [(0.15)^0/(0!) + (0.15)^1/(1!)]`
= `"e"^(-0.15) [1 + 0.15]`
= `"e"^(-0.15) [1.15]`
= 0.86074 × (1.15)
= 0.98981
APPEARS IN
संबंधित प्रश्न
If 5% of the items produced turn out to be defective, then find out the probability that out of 20 items selected at random there are atleast two defectives
An experiment succeeds twice as often as it fails, what is the probability that in next five trials there will be at least three successes
It is given that 5% of the electric bulbs manufactured by a company are defective. Using poisson distribution find the probability that a sample of 120 bulbs will contain no defective bulb
A car hiring firm has two cars. The demand for cars on each day is distributed as a Poison variate, with mean 1.5. Calculate the proportion of days on which neither car is used
The average number of phone calls per minute into the switchboard of a company between 10.00 am and 2.30 pm is 2.5. Find the probability that during one particular minute there will be exactly 3 calls
The average number of customers, who appear in a counter of a certain bank per minute is two. Find the probability that during a given minute no customer appears
Choose the correct alternative:
In turning out certain toys in a manufacturing company, the average number of defectives is 1%. The probability that the sample of 100 toys there will be 3 defectives is
Choose the correct alternative:
Using the standard normal table, the sum of the probabilities to the right of z = 2.18 and to the left of z = – 1.75 is
Choose the correct alternative:
Let z be a standard normal variable. If the area to the right of z is 0.8413, then the value of z must be:
Vehicles pass through a junction on a busy road at an average rate of 300 per hour. Find the probability that none passes in a given minute
