The life expectancy of computer terminals is normally distributed with a mean of 4 years and a standard deviation of 1 year. what is the probability that a terminal will last 5 years or less?

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

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.