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The random variable X has the following probability distribution.

Find the following probabilities.

 

 

 

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Priyanshu Patel
Priyanshu PatelLv10
25 Feb 2021

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Related textbook solutions

Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

Related questions

1. What is a discrete probability distribution? What are the two conditions that determine a probability distribution? What is a discrete probability distribution? Choose the correct answer below 

A. A discrete probability distribution exclusively lists probabilities O

B. A discrete probability distribution lists each possible value a random variable can assume. C. A discrete probability distribution lists each possible value a random variable can assume. together with its probability.

D. None of the above

2. What are the two conditions that determine a probability distribution? Choose the correct answer below

A. The probability of each value of the discrete random variable is between 0 and 1, inclusive, 

B. The probability of each value of the discrete random variable is between 0 and 1, inclusive.

C. The probability of each value of the discrete random variable is greater than 0 and less than

D. The probability of each value of the discrete random variable is greater than 0 and less than and the sum of all the probabilities is 1. and the sum of all the probabilities can be any amount. 1, and the sum of all the probabilities is 1. 1, and the sum of all the probabilities can be any amount.

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?

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.

 

 

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