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Consider the following discrete pdf for the random variable Y:

 

 

 

With  

(a) Verify that this is a proper pdf.

(b) Also verify that the following is an equivalent way of writing the pdf:

 

 

 

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Related textbook solutions

Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

Related questions

The random variable X has the cdf

 

(a) Verify that F is a proper CDF.

(b) Find the pdf of X.

(c) Find E(X) and Var(X), where these are defined.

 

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.

 

 

In the following probability distribution, the random variable X represents the number of marriages an individual aged 15 years or older has been involved in.
 
     x      P(x) 0      0.272     10.575      20.121      30.027     40.004      50.001 
 
(a) Verify that this is a discrete probability distribution.
(b) Draw a graph of the probability distribution. Describe the shape of the distribution.
(c) Compute and interpret the mean of the random variable X.
(d) Compute the standard deviation of the random variable X.
(e) What is the probability that a randomly selected individual 15 years or older was involved in tow marriages?
(f) What is the probability that a randomly selected individual 15 years or older was involved in at least two marriges?

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