Answer:
The length of the interval during which no messages arrive is 90 seconds long.
Step-by-step explanation:
Let <em>X</em> = number of messages arriving on a computer server in an hour.
The mean rate of the arrival of messages is, <em>λ</em> = 11/ hour.
The random variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em> = 11.
The probability mass function of <em>X</em> is:
It is provided that in <em>t</em> hours the probability of receiving 0 messages is,
P (X = 0) = 0.76
Compute the value of <em>t</em> as follows:
Thus, the length of the interval during which no messages arrive is 90 seconds long.
Answer:
Step-by-step explanation:
3
A=square root of 3 over 4 times a^2
First of all, if we have 1 gram of a substance that has 0.52 gram of copper and 0.26 gram of zinc, the remainder will be:
Since we know that the remaining portion of the material is nickel, we have 0.22 gram of metal.
Now, Ben estimates that 1 gram of the substance has 0.2 gram of nickel. To find how many grams of metal are in 35 grams of the material, we are going to multiply the grams of the substance by the gram of nickel:
We can conclude that according to Ben, 35 grams of the content has 7 grams of metal.
But we know that in 1 gram of the substance are not 0.2 gram of nickel but 0.22. So let's multiply the grams of the material by 0.22 to find the actual grams of nickel in it:
We can conclude that 35 grams of the substance have 7.7 grams of metal.
