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P(x5)

Short Answer

Expert verified

The necessary probability is P(x5)=0.15.

Step by step solution

01

Given Information

To figure out the probability P(x5)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.

02

Concept used:

Let's defineXthe number of years a new recruit will stay with the company P(X)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.

03

Calculation

Using the distribution P(X) ,we can calculate the probability P(x5)as:

P(x5)=P(x=5)+P(x=6)

=0.10+0.0=0.15

04

Step 4:Conclusion:

As a result, the required level of probability is:

P(x5)=0.15

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Most popular questions from this chapter

Identify the mistake in the probability distribution table.

Use the following information to answer the next five exercises: A physics professor wants to know what percent of physics

majors will spend the next several years doing post-graduate research. He has the following probability distribution.

Find the probability that a physics major will do post-graduate research for four years.

P(x=4)=_______

In words, the random variableX=_________________

a. the number of times Mrs. Plum’s cats wake her up each week.

b. the number of times Mrs. Plum’s cats wake her up each hour.

c. the number of times Mrs. Plum’s cats wake her up each night.

d. the number of times Mrs. Plum’s cats wake her up.

Suppose that you are performing the probability experiment of rolling one fair six-sided die. Let F be the event of rolling a four or a five. You are interested in how many times you need to roll the die in order to obtain the first four or five as the outcome. • p = probability of success (event F occurs) • q = probability of failure (event F does not occur)

a. Write the description of the random variable X.

b. What are the values that X can take on?

c. Find the values of p and q.

d. Find the probability that the first occurrence of event F (rolling a four or five) is on the second trial.

Use the following information to answer the next five exercises: Suppose that a group of statistics students is divided into two groups: business majors and non-business majors. There are 16business majors in the group and seven non-business majors in the group. A random sample of nine students is taken. We are interested in the number of business majors in the sample.

What values does Xtake on?

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