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Chapter 5: Q.5.9 (page 346)

A continuous probability function is restricted to the portion between x = 0 and 7. What is P(x = 10)?

Short Answer

Expert verified

The value of the P(x=10)iszero.

Step by step solution

01

Given information

Given in the question is A continuous probability function is restricted to the portion between x = 0 and 7

02

Solution

The value of P(x=10)will be zero because the probability of a single point is always zero as the area under the curve for any particular single point is always zero.

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Most popular questions from this chapter

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

modelled by the following distribution:X~Exp(0.2)

Find P(x>6).

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.

Considering only the cars less than 7.5 years old, find the probability that a randomly chosen car in the lot was less than four years old.

a. Sketch the graph, shade the area of interest.

b. Find the probabilityP(x<4x<7.5)=

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)

State the probability density function.

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.

Find the probability that a randomly chosen car in the lot was less than four years old;

a. Sketch the graph, and shade the area of interest.

b. Find the probability. P(x<4)

The data that follow are the square footage (in 1,000 feet squared) of 28 homes.

The sample mean = 2.50 and the sample standard deviation = 0.8302. The distribution can be written as X~U(1.5,4.5).

What is P(x=1.5)?

See all solutions

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