हिंदी
तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी वाणिज्य कक्षा १२

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] - Business Mathematics and Statistics

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]

योग

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

shaalaa.com
Distribution
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 7: Probability Distributions - Exercise 7.2 [पृष्ठ १५९]

APPEARS IN

सामाचीर कलवी Business Mathematics and Statistics [English] Class 12 TN Board
अध्याय 7 Probability Distributions
Exercise 7.2 | Q 6 | पृष्ठ १५९

संबंधित प्रश्न

Mention the properties of binomial distribution.


Defects in yarn manufactured by a local mill can be approximated by a distribution with a mean of 1.2 defects for every 6 metres of length. If lengths of 6 metres are to be inspected, find the probability of less than 2 defects


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 some demand is refused


In a test on 2,000 electric bulbs, it was found that bulbs of a particular make, was normally distributed with an average life of 2,040 hours and standard deviation of 60 hours. Estimate the number of bulbs likely to burn for more 1,920 hours but less than 2,100 hours


Choose the correct alternative:

In a binomial distribution, the probability of success is twice as that of failure. Then out of 4 trials, the probability of no success is


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(X < 40)


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×