Advertisements
Advertisements
प्रश्न
The mortality rate for a certain disease is 7 in 1000. What is the probability for just 2 deaths on account of this disease in a group of 400? [Given e–2.8 = 0.06]
Advertisements
उत्तर
Since the mortality rate for a certain disease in 7 in loop
∴ p = `7/1000` and n = 400
The value of mean A = λp
= `400 xx 7/1000`
∴ λ = 2.8
Let x be a random variable following distribution with p(x) = `("e"^(-lambda)lambda^x)/(x!)`
∴ The distribution is P(X = 2) = `("e"^(-2 - 8) (2.8)^2)/(2!)`
= `(0.06 xx 7.84)/2`
= 0.2352
APPEARS IN
संबंधित प्रश्न
Among 28 professors of a certain department, 18 drive foreign cars and 10 drive local made cars. If 5 of these professors are selected at random, what is the probability that atleast 3 of them drive foreign cars?
Out of 750 families with 4 children each, how many families would be expected to have atleast one boy
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
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
Time taken by a construction company to construct a flyover is a normal variate with mean 400 labour days and a standard deviation of 100 labour days. If the company promises to construct the flyover in 450 days or less and agree to pay a penalty of ₹ 10,000 for each labour day spent in excess of 450. What is the probability that the company takes at most 500 days to complete the flyover?
Choose the correct alternative:
If X ~ N(µ, σ2), the maximum probability at the point of inflexion of normal distribution
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:
If P(Z > z) = 0.5832 what is the value of z (z has a standard normal distribution)?
A manufacturer of metal pistons finds that on the average, 12% of his pistons are rejected because they are either oversize or undersize. What is the probability that a batch of 10 pistons will contain no more than 2 rejects?
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?
