Within a computer program, the number of bugs (i. e., coding errors) per lines of code has a Poisson distribution with an average of fifteen bugs per 1,000 lines. a. Find the probability that there will be exactly eight bugs in 1,000 lines of code. b. Find the probability that there will be at least eight bugs in 1,000 lines of code. c. Find the probability that there will be at least one bug in 1,000 lines of code. d. Find the probability that there will be no more than

Step-by-step explanation:

Given

Poisson distribution is given by:

Solving (a): 8 bugs

This implies that:

So, we have:

Solving (b): At least 8 bugs

This is represented as:

Using complement rule:

Where

So:

Solving (c): At least 1

This is represented as:

Using complement rule:

So:

Solving (d): Not more than 1

This implies at most 1.

It is represented as:

It is calculated using:

So:

step-by-step explanation:

ok so im not 100% sure but you would start by adding 5.1t and 1.9t beacuse they have the same variable. that is 7t.   then add -3.6 + 1.2 which is -2.4

so then keep that as -2.4 + 7t. i apologize if this is incorrect. best luck on your test < 3

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.