Answer:
A)
μ = 5
σ = 2.2
B)
P(0) = 0.0066
C)
P(x ≥ 4) = 0.74
Step-by-step explanation:
A) The expected value is going to be the same as the mean μ.
We can use the binomial probability distribution because there are a fixed number of trials (500), each trial is independent and there are only two possible outcomes (CPU failure or not) and the probability of failure has the fixed value 0.01.
For binomial distributions:
μ = np, where p is the probability (in this case of CPU failure) and n is the number of trials (500)
μ = (500)(0.01) = 5
σ = 
, where q = 1 - p
σ = 
= 2.2
B) We can use the binomial probability formula
× pˣ × qⁿ⁻ˣ
× 0.01⁰ × 0.99⁵⁰⁰
C) In this case wee need to use a binomial distribution calculator. Setting n as 500, π = 0.01 and finding the probability above 3.
Answer:
96
Step-by-step explanation:
Answer:
$204.11
Step-by-step explanation:
To find 70% of $269.99, multiply $269.99 x .7 = $188.99.
To find the 8% sales tax on $188.99, multiply $188.99 x .08 = $15.12.
Add the $15.12 of sales tax onto the cost of $188.99 = $204.11
Hi!
First, let me explain that open circles mean that the answer starts after or before that number. So if the answer is q < 4, the answer would be C, and not B.
If the answer was q ≤ 4, the answer would be B, and not C.
I hope that makes sense. Now let's solve the inequality.
Remember that whatever we do to the inequality, we have to do it to both sides.
We need to isolate q on one side.
11q + 5 ≤ 49
Start by subtracting 5 from both sides.
11q + 5 - 5 ≤ 49 - 5
11q ≤ 44
Divide by 11 on both sides.
11q/11 ≤ 44/11
q ≤ 4
The answer is B.
Hope this helps! :)
