Question

Ймовірність випуску бракованого виробу дорівнює 0.01.Чому дорівнює ймовірність того що у партії зі 100 виробів брокованих буде не більше 3. Помогите срочно.Нудно полное решение.

Answer 1

Пошаговое объяснение:

не понять украинский...

Answer 2

Probability of Defective Products

The probability that a single product is defective is 0.01, which means there is a 1% chance that any given product is defective.

To calculate the probability that there are 3 or fewer defective products in a batch of 100, we can use the binomial distribution formula:

`P(X ≤ x) = Σ(nCk * p^k * (1-p)^(n-k))`

Where: - X is the random variable (number of defective products) - x is the value we are calculating the probability for (3 or fewer defective) - n is the number of trials (100 products) - k is the number of "successes" (defective products) - p is the probability of success on a single trial (0.01) - q is the probability of failure on a single trial (1 - p = 0.99)

Plugging in the values: - x = 3 - n = 100 - p = 0.01 - q = 0.99

We get:

`P(X ≤ 3) = Σ(100Ck * 0.01^k * 0.99^(100-k)) for k = 0 to 3`

Which evaluates to approximately 0.01, or a 1% chance that there are 3 or fewer defective products in a batch of 100.