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Evaluate the following probability expressions. Unless directed differently, use four decimals in your answers. 

a)
b)    
c)      
d)  
 

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Related textbook solutions

Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

Related questions

In a sample of 1000 U.S. adults, 150 said they are very confident in the nutritional information on restaurant menus. Four U.S. adults are selected at random without replacement.

(a) Find the probability that all four adults are very confident in the nutritional information on restaurant menus.

(b) Find the probability that none of the four adults are very confident in the nutritional information on restaurant menus.

(c) Find the probability that at least one of the four adults is very confident in the nutritional information on restaurant menus.

(d) Which of the events can be considered unusual? Explain.

A  Compute and interpret the mean of the random variable x

B Compute the standard deviation of the random variable x.

C. What is the probability that a randomly selected student has a parent involved in three activities?

D  What is the probability that a randomly selected student has a parent involved in three or four activities?

E.

In the following probability distribution, the random variable x represents the number of activities a K to the 5th-grade student is involved in.

Complete parts (a) through (f) below.

   x           0              1               2               3               4

P(x)      0.299       0.145         0.234        0.053         0.269

(a) Verify that this a discrete probability distribution.

 

 

Before the distribution of certain statistical software, every fourth compact disk (CD) is tested for accuracy. The testing process consists of running four independent programs and checking the results. The failure rates for the four testing programs are, respectively, 0.01, 0.03, 0.02, and 0.01.
 
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(b) Given that a CD was tested, what is the probability that it failed program 2 or 3?
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(d) Given that a CD was defective, what is the probability that it was tested? 

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