Advertisements
Advertisements
प्रश्न
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
Advertisements
उत्तर
The average number of phone cells per minute into the switchboard of a company is λ = 2.5
x follows poisson distribution with
P(x) = `("e"^(-lambda) lambda^x)/(x!)`
= `((2^(-2.5) (2.5)^x)/(x!))`
P(exactly 3 calls) = P(X = 3)
= `("e^(-2.5) (2.5)^3)/3`
= `((0.08208) xx 15.625)/6`
= 0.2138
APPEARS IN
संबंधित प्रश्न
Mention the properties of binomial distribution.
If 18% of the bolts produced by a machine are defective, determine the probability that out of the 4 bolts chosen at random atmost 2 will be defective
Out of 750 families with 4 children each, how many families would be expected to have atmost 2 girls
A pair of dice is thrown 4 times. If getting a doublet is considered a success, find the probability of 2 successes
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 atleast 5 calls
Write down the conditions in which the Normal distribution is a limiting case of binomial distribution
Choose the correct alternative:
In a parametric distribution the mean is equal to variance is
Choose the correct alternative:
The average percentage of failure in a certain examination is 40. The probability that out of a group of 6 candidates atleast 4 passed in the examination are
Choose the correct alternative:
The time until the first failure of a brand of inkjet printers is normally distributed with a mean of 1,500 hours and a standard deviation of 200 hours. What proportion of printers fails before 1000 hours?
Choose the correct alternative:
If the area to the left of a value of z (z has a standard normal distribution) is 0.0793, what is the value of z?
