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mario62 [17]
2 years ago
15

An optical inspection system is used to distinguish among different part types. The probability of a correct classification of a

ny part is 0.95. 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. Round your answers to four decimal places (e.g. 98.7654).
Probability Mass Function of X
x f(x)
0
1
2
3
Mathematics
1 answer:
slega [8]2 years ago
8 0

Answer:

p(x=0)=0.000008

p(x=1)=0.00176

p(x=2)=0.0576

P(x=3)=0.941192

Step-by-step explanation:

The probability of successfully classifying any given part is 0.98. There are 3 parts in total and the classifications are independent. The random variable is the number correctly classified parts out of the total 3.

                                                         {0,1,2,3,}

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The midpoint of AB is M(3, -1). If the coordinates of A are (5,1), what are the
Vera_Pavlovna [14]

Given parameters:

Midpoint of AB =  M(3, -1)

Coordinates of A = (5,1)

Unknown:

Coordinates of B = ?

Solution:

To find the mid point of any line, we use the expression below;

              x_{m}   = \frac{x_{1} + x_{2}  }{2}    and y_{m}  = \frac{y_{1} + y_{2}  }{2}

where x_{m}  and y_{m} = coordinates of the mid points = 3 and -1

   x₁  = 5 and y₁ = 1

  x₂ = ?  and y₂ = ?

Now let us input the variables and solve,

            3  = \frac{5 + x_{2} }{2}           and     -1 = \frac{1 + y_{2} }{2}

    5 +  x₂  = 6                          -2 = 1  + y₂

            x₂ = 1                             y₂ = -2 -1 = -3

The coordinates of B = 1, -3

6 0
3 years ago
Please help me<br> math math math
enot [183]

Answer:

3b^{4}

Step-by-step explanation:

36a^{4} b^{7} / 12a^4b^3\\

Break it down step by step.

36/12=3\\a^4-a^4=0\\b^7-b^3=4

3 0
2 years ago
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