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puteri [66]
3 years ago
5

Math homework help please

Mathematics
1 answer:
OLEGan [10]3 years ago
3 0
16
divide 12 by 3 since its 3/4 of the whole thing so 1/4=4
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The number of surface flaws in plastic panels used in the interior of automobiles has a Poisson distribution with a mean of 0.05
Tresset [83]

Answer:

(a) Probability that there are no surface flaws in an auto's interior is 0.6065 .

(b) If 10 cars are sold to a rental company, what is the probability that none of the 10 cars has any surface flaws is 0.00673 .

Step-by-step explanation:

We are given that the number of surface flaws in plastic panels used in the interior of automobiles has a Poisson distribution with a mean of 0.05 flaws per square foot of plastic panel.

Let X = Distribution of number of surface flaws in plastic panels

So, X ~ Poisson(\lambda)

The mean of Poisson distribution is given by, E(X) = \lambda = 0.05

which means, X ~ Poisson(0.05)

The probability distribution function of a Poisson random variable is:

P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!}; for  x=0,1,2,3...

Now, we know that \lambda for per square foot of plastic panel is 0.05 and we are given that an automobile interior contains 10 square feet of plastic panel.

Therefore,  for 10 square foot of plastic panel is = 10 * 0.05 = 0.5

(a) Probability that there are no surface flaws in an auto's interior =P(X=0)

    P(X = 0) = \frac{e^{-0.5}*0.5^{0}}{0!} = e^{-0.5} = 0.6065

(b) If 10 cars are sold to a rental company, what is the probability that none of the 10 cars has any surface flaws = P(X = 0)^{10}

    So, P(X = 0)^{10} = 0.6065^{10} = 0.00673

8 0
3 years ago
Si el perimetro de un octángulo regular es de 96cm ¿cuando mide cada lado?
enot [183]
If the perimeter of a regular octangulo is 96cm when it measures each side?
6 0
3 years ago
Which statement is not true about the pattern shown?
adoni [48]

Answer:3

Step-by-step explanation:2 4 6 8 12 16 24

4 0
3 years ago
PLS SOMEONE HELP BEEN STUCK ON QUESTION FOR 20 MIN I DONT UNDERSTAND
o-na [289]
What the equation is looking for is the values X needs to have to equal zero

X - 6 = 0
X - 6 (+6)= 0 (+6)
X = 6

X + 2 = 0
X + 2 (-2)= 0(-2)
X = -2

i don't understand what the question is asking for the topmost box though
8 0
3 years ago
the larger angle of two complementary angles is four times as large of the smaller angle find the measurement of the smaller ang
taurus [48]
The answer is: 18° .
__________________________________________________
Explanation:
________________________________
x + 4x = 90 ; solve for "x"
____________________________
 5x = 90 ;
____________________________
 Divide EACH SIDE of the equation by "5"; to isolate "x" on one side of the equation; and to solve for "x" ;
___________________________________________________
  5x / 5 = 90 / 5 ;
___________________________________________________
       x = 18  ;   The answer is: 18° .
_____________________________________________________
4 0
3 years ago
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