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3 years ago

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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Solution:

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3 years ago

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4 years ago

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Consider the planes 4x+3y+4z=1 and 4x+4z=0. (A) Find the unique point P on the y−axis which is on both planes. ( 0 equation edit

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Answer:

Step-by-step explanation:

A) From the order of the exercise we already know that the intersection points lies on the Y-axis, so its coordinates are P(0;y;0). In order to find it, we only need to substitute the equation 4x+4z=0 into the equation 4x+3y+4z=1. Then,

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