Question

Из 265 рабочих норму выработки не выполняют 15 человек. Найти вероятность того, что три случайно выбранных рабочих не выполняют норму

Answer 1

15/265=0.057
14/264=0.053
13/263=0.049
0.057*0.053*0.049=0,000148029=0.00015

Answer 2

Calculation of Probability

To find the probability that three randomly selected workers do not meet the production norm out of a total of 265 workers, we can use the concept of binomial probability.

The probability of an individual worker not meeting the norm is given as 15 out of 265 workers. Therefore, the probability of a worker meeting the norm is 1 minus the probability of not meeting the norm.

Let's calculate the probability using the formula for binomial probability:

P(X=k) = C(n, k) * p^k * (1-p)^(n-k)

Where: - P(X=k) is the probability of exactly k successes (in this case, not meeting the norm) - n is the total number of trials (in this case, the total number of workers) - k is the number of successes (in this case, the number of workers not meeting the norm) - p is the probability of success in a single trial (in this case, the probability of a worker not meeting the norm)

In this case, we want to find the probability that exactly three workers do not meet the norm, so k = 3.

Let's substitute the values into the formula:

P(X=3) = C(265, 3) * (15/265)^3 * (1-(15/265))^(265-3)

Now, let's calculate the probability.