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Chapter 5: Q. 46 (page 350)

Use the following information to answer the next ten exercises. A customer service representative must spend different amounts of time with each customer to resolve various concerns. The amount of time spent with each customer can be modeled by the following distribution: X~Exp(0.2)

What type of distribution is this?

Short Answer

Expert verified

Parameter of Xis 0.2 and it is distributed Exponentially. So, variable Xhas an Exponential Distribution.

Step by step solution

01

Definition

In the provided information, it is mentioned that X~Exp(0.2). This explains that the random variable X is exponentiallydistributed.

02

Solution

As per information provided, the random variable Xis exponentially distributed with a parameter of 0.2. As a result, it can be termed asexponential distribution.

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Most popular questions from this chapter

Use the following information to answer the next eight exercises. A distribution is given as X~U(0,12).

What isa? What does it represent?

Use the following information to answer the next eleven exercises. The age of cars in the staff parking lot of a suburban college is uniformly distributed from six months (0.5 years) to 9.5 years.

a. Graph the probability distribution

b. Identify the following values:

i. Lowest value forx炉=

ii. Highest value for localid="1648215651207" x炉=

iii. Height of the rectangle:

iv. Label for x-axis (words):

v. Label for y-axis (words):

In a small city, the number of automobile accidents occur with a Poisson distribution at an average of three per week.

a. Calculate the probability that there are at most 2accidents occur in any given week.

b. What is the probability that there is at least two weeks between any 2accidents?

Suppose that the useful life of a particular car battery, measured in months, decays with parameter 0.025. We are interested in the life of the battery.

a. Define the random variable. X = _________________________________.

b. Is X continuous or discrete?

c. X ~ ________

d. On average, how long would you expect one car battery to last?

e. On average, how long would you expect nine car batteries to last, if they are used one after another?

f. Find the probability that a car battery lasts more than 36 months.

g. Seventy percent of the batteries last at least how long?

Consider the function f(x)=18 for 0鈮�x鈮�8. Draw the graph of f(x) and find P(2.5<x<7.5).
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