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Chapter 5: Q.5.6 (page 346)

For a continuous probability distribution, 0鈮�x鈮�15. What is P(x>15)?

Short Answer

Expert verified

The probability will beP(x>15)=0.

Step by step solution

01

Given information

Given in the question that a continuous probability distribution0鈮�x鈮�15

02

Solution

Here in the question we are asked to find P(x>15)

So,

P(x>15)=1鈭�P(x鈮�15)

Since, 0鈮�x鈮�15,P(0鈮�x鈮�15)=1. Thus,

P(x>15)=1鈭�[P(x<0)+P(0鈮�x鈮�15)]

=1鈭�[0+1]

=0

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Most popular questions from this chapter

The percent of persons (ages five and older) in each state who speak a language at home other than English is approximately exponentially distributed with a mean of 9.848. Suppose we randomly pick a state.

a. Define the random variable.X=_________________________________.

b. Is Xcontinuous or discrete?

c.X~________

d.渭=________

e.蟽=________

f. Draw a graph of the probability distribution. Label the axes.

g. Find the probability that the percent is less than 12.

h. Find the probability that the percent is between eight and 14.

i. The percent of all individuals living in the United States who speak a language at home other than English is 13.8.

i. Why is this number different from 9.848%?

ii. What would make this number higher than 9.848%?

The total duration of baseball games in the major league in the 2011 season is uniformly distributed between 447 hours and 521 hours inclusive.

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

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