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sveta [45]
3 years ago
15

7 points

Mathematics
1 answer:
inna [77]3 years ago
5 0

Answer:

Step-by-step explanation:

Let x be a random variable representing the products are rejected

because they contain some technical

problems. This is a binomial distribution since the outcomes are two ways. It is either they are rejected or accepted. The probability of success(that they would be rejected), p = 0.2

The probability of failure, q would be 1 - p = 1 - 0.2 = 0.8

n = 11

a) We want to determine P(x < 3)

From the binomial distribution table,

P(x < 3) = 0.62

b) We want to determine P(x ≥ 3)

From the binomial distribution table,

P(x ≥ 3) = 0.38

c) The number of rejects that the sample is expected to contain is the mean.

mean = np

mean = 11 × 0.2 = 2.2

Approximately 2 rejects

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