Question

Вероятность того, что изготовленная деталь проверена первым контролёром, равна 0,4. Найдите вероятность того, что среди 900 выпущенных деталей окажутся 370, проверенных первым контролёром.

Answer 1

1,48 - проверенные детали

Answer 2

Calculation of Probability

To find the probability that among 900 released parts, 370 have been checked by the first controller, we can use the binomial probability formula.

The binomial probability formula is given by:

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

Where: - P(X = k) is the probability of getting exactly k successes - n is the total number of trials - k is the number of successes - p is the probability of success in a single trial

In this case, the probability of a part being checked by the first controller is 0.4, and we want to find the probability of exactly 370 parts being checked out of 900.

Using the binomial probability formula, we can calculate the probability as follows:

P(X = 370) = C(900, 370) * 0.4^370 * (1 - 0.4)^(900 - 370)

Let's calculate this probability.