The life expectancy of computer terminals is normally distributed with a mean of 4 years and a standard deviation of 1 year. Wha
t is the probability that a terminal will last 5 years or less?
1 answer:
Answer:
The probability that a terminal will last 5 years or less is 0.8413
Step-by-step explanation:
Given:
μ= 4 years
σ= 1 year
Z=(x-μ)÷σ
Z=(5-4)÷1 = 1
The standard normal distribution table provides the probability that a normally distributed random variable Z, with mean equal to 0 and variance equal to 1, is less than or equal to z.
For z= 1 ⇒ P(z≤1)=0.8413
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Answer:
Incorrect
Step-by-step explanation:
We are given the equation:
Add both sides by 9.
When we want to tell if the absolute equation has solutions or not, we have to simplify in this form first: or isolate the absolute sign.
If c ≥ 0, the equation has solutions.
If c < 0, the equation does not have solutions.
Therefore, it does not always matter if the constant on right side is in negative because if there is a number on the left side then there is a chance that the equation has solutions.
From |3x+8| = 4 is equivalent |3x+8|-9=-5 and the right side is 4 which is positive.
Hence, the equation does have a solution!