The Health Care Cost Institute tracks health care expenditures for beneficiaries under the age of 65 who are covered by employer
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Answer:
The probability of finding a non-defective television is 0.9815.
Step-by-step explanation:
We are given that a television manufacturer has three locations where it is finally assembled. Plants A, B, and C supply 65%, 15%, and 20% respectively of the televisions used by the manufacture.
Quality control has determined that 1.5% produced by Plant A are defective, while plants B and C have 2.5% defective products.
Let Probability that Plant A supply televisions = P(A) = 0.65
Probability that Plant B supply televisions = P(B) = 0.15
Probability that Plant C supply televisions = P(C) = 0.20
<em>Also, let D = event that television is defective</em>
Probability that television is defective given that it is supplied by Plant A = P(D/A) = 0.015
Probability that television is defective given that it is supplied by Plant B = P(D/B) = 0.025
Probability that television is defective given that it is supplied by Plant C = P(D/C) = 0.025
<u>Now, to find the probability of finding a non-defective television firstly we will find the probability of a defective television.</u>
<em>Probability of a defective television is given by;</em>
= P(A) P(D/A) + P(B)
P(D/B) + P(C)
P(D/C)
= 0.65 0.015 + 0.15
0.025 + 0.20
0.025
= 0.00975 + 0.00375 + 0.005
= 0.0185
Now, <em><u>probability of finding a non-defective television</u></em> = 1 - Pro<em>bability of a defective television</em>
Probability of finding a non-defective television = 1 - 0.0185
= 0.9815
<em>Therefore, the probability of finding a non-defective television is 98.15%.</em>
Hey there!!
Fill in the blanks :-
⇒ First graph the line. Locate the <u>value of x </u>on the x-axis. Draw a vertical line from <u>point plotted on the x-axis </u>to the graph of the function and a horizontal line segment from the graph of the function to the y-axis.
<em>Find the value of f(x) when x is -2. </em>
Remember :- <u><em>f(x) is basically the y-value. It is just denoted as _f(x), it stands for function of x. Which means, the value of y, depends upon the value of x or the function of x. </em></u>
Given : x = - 2
Plugging in the values :
...
...
...
The last fill in the blank :
The value of y on the y-axis is the value of the function. Therefore, the value of f(x) is <u>-7 </u>when x is -2.
Hope it helps!!