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Introductory Statistics

Barbara Illowsky, Susan Dean

$Math Studyset Vaia Explanations$ Math

OER 2018 Edition · 902 pages

ISBN: 9781938168208

Chapter 5: Q.5.8 (page 346)

For a continuous probability distribution, $0 \leq x \leq 10$ . What is $P (x = 7)$ ?

Short Answer

Expert verified

The value of the $P (x = 7)$ iszero.

Step by step solution

Given information

Given in the question that continuous probability distribution $0 \leq x \leq 10$

Solution

Here we are asked to find the $P (x = 7)$

Because the probability of a single point is always zero and the area under the curve for any single point is always zero, the value of $P (x = 7)$ will be zero.

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Most popular questions from this chapter

Use the following information to answer the next ten questions. The data that follow are the square footage (in $1000$ feet squared) of $28$ homes

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

Use the following information to answer the next seven exercises. A distribution is given as $X ~ E x p (0.75)$ . What is m?

Find the probability that $x$ falls in the shaded area.

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 the $90^{t h}$ percentile of square footage for homes?

Which type of distribution does the graph illustrate?

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For a continuous probability distribution, 0≤x≤10. What is P(x=7)?

Short Answer

Step by step solution

Given information

Solution

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Most popular questions from this chapter

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For a continuous probability distribution, $0 \leq x \leq 10$ . What is $P (x = 7)$ ?