The number of flaws in a certain type of lumber follows a Poisson distribution with a rate of 0.45 per linear meter. What is the probability that a board 3 meters in length has no flaws

So, the probability is P=0.0097.

Step-by-step explanation:

We know that the  number of flaws in a certain type of lumber follows a Poisson distribution with a rate of 0.45 per linear meter.  

We conclude that  λ=0.45.

We use the Poisson formula:

We calculate the  probability that a board 3 meters in length has no flaws. We get that k=3.

We calculate:

So, the probability is P=0.0097.

answer: for each 3 girls there is 2 boys . 3: 2

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step-by-step explanation:

assume that you have 3 different side lengths.   apply the pythagorean theorem here:   square each of the two shortest sides; call them a and b, so that their squares are a² and b².   also square the longest side, calling the result c².

now, if a² + b² = c² is true, the triangle is a right triangle; otherwise it is not a right triangle.