Question

$P(x\ge 5)$

Short answer

The necessary probability is $P(x\ge 5)=0.15$.

Step-by-step solution

Given Information

To figure out the probability $P(x\ge 5)$from the table using the data provided is used.

A business needs to assess its attrition rate, or the length of time new employees stay with the organization. They've developed the following probability distribution over time.

Concept used:

Let's define$X$the number of years a new recruit will stay with the company $P\left(X\right)$and the likelihood that a new hire will stay with the company $X$ years.

The probability is calculated as the sum of the respective probabilities of each occurrence, according to the properties of discrete distribution.

Calculation

Using the distribution $P\left(X\right)$ ,we can calculate the probability $P(x\ge 5)$as:

$P(x\ge 5)=P(x=5)+P(x=6)$

$$\begin{gathered} =0.10+0.0 \\ =0.15 \end{gathered}$$

Step 4:Conclusion:

As a result, the required level of probability is:

$P(x\ge 5)=0.15$