Advertisements
Advertisements
Question
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
Advertisements
Solution
In a poisson distribution
Average per hour = 300 vehicles
Mean per minute = `300/60` = 5
∴ λ = 5
P(X = x) = `("e"^(-lambda)lambda^x)/(x!)`
P(X = x) = `("e"^-5(5)^0)/(0!)`
= `("e"^-5(1))/1`
= `"e"^-5`
= 0.0067379
= `6.7379 xx 10^3`
APPEARS IN
RELATED QUESTIONS
An experiment succeeds twice as often as it fails, what is the probability that in next five trials there will be three successes
Define Poisson distribution
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
Define Standard normal variate
Choose the correct alternative:
An experiment succeeds twice as often as it fails. The chance that in the next six trials, there shall be at least four successes is
Choose the correct alternative:
If for a binomial distribution b(n, p) mean = 4 and variance = 4/3, the probability, P(X ≥ 5) is equal to
Choose the correct alternative:
The starting annual salaries of newly qualified chartered accountants (CA’s) in South Africa follow a normal distribution with a mean of ₹ 180,000 and a standard deviation of ₹ 10,000. What is the probability that a randomly selected newly qualified CA will earn between ₹ 165,000 and ₹ 175,000?
Hospital records show that of patients suffering from a certain disease 75% die of it. What is the probability that of 6 randomly selected patients, 4 will recover?
The annual salaries of employees in a large company are approximately normally distributed with a mean of $50,000 and a standard deviation of $20,000. What percent of people earn less than $40,000?
X is a normally distributed variable with mean µ = 30 and standard deviation σ = 4. Find P(30 < X < 35)
