How do you solve x =456789/3+100000000

Mathematics

1 answer:

weqwewe [10]3 years ago

7 0

100152263 is the answer

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On the average,1% of a specific engine componentis found to not perform to standards when tested at the engine assembly plant. F

sasho [114]

Answer: 0.07938

Step-by-step explanation:

Let X be a binomial variable that represents the components of a specific engine.

As per given , the probability of componentis found to not perform to standards : p= 1%=0.01

Binomial probability formula :

$P(X=x)=\ ^nC_xp^x(1-p)^{n-x}$

Sample size : n= 100

If more than two are found to be non-performing the entire shipment is returned.

Now, Required probability : $P(X>2)=1-P(X\leq 2)$

$=1-(P(X=0)+P(X=1)+P(X=2))\\\\=1- (^{100}C_{0}(0.01)^0(0.99)^{100}+^{100}C_{1}(0.01)^{1}(0.99)^{99}+^{100}C_{2}(0.01)^{2}(0.99)^{98})\\\\=1-((0.99)^{100}+(100)(0.01)(0.99)^{99}+\dfrac{100!}{2!98!}(0.01)(0.99)^98)\\\\=1-(0.36603+0.36973+0.18486)\\\\=1-(0.92062)\\\\=0.07938$