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
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

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

If 5% of the items produced turn out to be defective, then find out the probability that out of 20 items selected at random there are atleast two defectives


If 5% of the items produced turn out to be defective, then find out the probability that out of 20 items selected at random there are find the mean and variance


If 18% of the bolts produced by a machine are defective, determine the probability that out of the 4 bolts chosen at random exactly one will be defective


Assume that a drug causes a serious side effect at a rate of three patients per one hundred. What is the probability that atleast one person will have side effects in a random sample of ten patients taking the drug?


An experiment succeeds twice as often as it fails, what is the probability that in next five trials there will be three successes


Choose the correct alternative:

Normal distribution was invented by


Choose the correct alternative:

Forty percent of the passengers who fly on a certain route do not check in any luggage. The planes on this route seat 15 passengers. For a full flight, what is the mean of the number of passengers who do not check in any luggage?


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?


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?


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×