Mathematics: An optical inspection system is used to distinguish among different part types. The probability of a correct classification of any part is 0.93. Suppose that three parts are inspected and that the classifications are independent. Let the random variable X denote the number of parts that are correctly classified. Determine the probability mass function of X. Probability Mass Function of X x f(x) 0 1 2 3

An optical inspection system is used to distinguish

Ответ:

natenate32

27.03.2021

Mathematics

Follows are the solution to this question:

Step-by-step explanation:

Let P(X = x) mark x model number classified correctly.

The mass function of the probability:

$\to f(0) = P(X=0) = (0.03)^3 = 0.0000\\\\\to f(1) = P(X=1) = (3 C_1)\times (0.97)\times (0.03)^2 = 0.0026\\\\\to f(2) = P(X=2) = (3 C_2)\times (0.97)^2 \times (0.03) = 0.0847\\\\\to f(3) = P(X=3) = (0.97)^3 = 0.9127\\\\$

$x \ \ \ \ f(x) \\\\0\ \ \ \ 0.0000\\\\1\ \ \ \ 0.0026\\\\2\ \ \ \ 0.0847\\\\3\ \ \ \ 0.9127$

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Ответ:

sleepyflower10

31.07.2020

Mathematics

12.5%

Step-by-step explanation:

sold for = 540

gain = 60

cost= 540-60= 480

gain%= 60/480*100%= 12.5%

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