Advertisements
Advertisements
प्रश्न
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 three or more customers appear
Advertisements
उत्तर
The average number of customers
Who appear in a counter of a certain bank per minute = 2
∴ λ = 2
x follows poisson distribution with P(x) = `("e"^(-lambda)lambda^x)/(x!)`
P(three or more customers appears) = P(X ≥ 3)
= P(X = 3) + P(X = 4) + P(X = 5) + ……
= 1 – P(X < 3)
= 1 – {P(X = 0) + P(X = 1) + P(X = 2)}
= `1 - {("e"^-1(2)^0)/(0!) , ("e"^-1(2)^2)/(1!), ("e"^-2(2)^2)/(2!)}`
= `1 "e"^-2 [1 + 2 + 4/2]`
= 1 – 2-2 [1 + 2 + 2]
= 1 – 0.1353(5)
= 1 – 0.6765
= 0.3235
APPEARS IN
संबंधित प्रश्न
Out of 750 families with 4 children each, how many families would be expected to have children of both sexes? Assume equal probabilities for boys and girls.
Forty percent of business travellers carry a laptop. In a sample of 15 business travelers, what is the probability that atleast three of the travelers have a laptop?
Define Standard normal variate
If the heights of 500 students are normally distributed with mean 68.0 inches and standard deviation 3.0 inches, how many students have height less than or equal to 64 inches
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 random variable X is normally distributed with a mean of 70 and a standard deviation of 10. What is the probability that X is between 72 and 84?
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
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 between $45,000 and $65,000?
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 more than $75,000
X is a normally distributed variable with mean µ = 30 and standard deviation σ = 4. Find P(X < 40)
