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:

x = 10.1

step-by-step explanation:

all of the angles of a tirangle add up to 180º

180 - 65 = 115 (since we already know the value of one angle)

(2x + 7) + (8x + 7) = 115

(combins like terms) 10x + 14 = 115

(isolate the variable subtract 14 from both sides): 10x = 101

(find the variable divide both sides by 10): x = 101/10

x = 10.1