SOLUTION: An urn contains 10 marbles, each of which shows a number. Five marbles show 1,two marbles show 2 and three show 3. A marble is drawn at random. If x is the number that shows find

Algebra ->  Probability-and-statistics -> SOLUTION: An urn contains 10 marbles, each of which shows a number. Five marbles show 1,two marbles show 2 and three show 3. A marble is drawn at random. If x is the number that shows find      Log On


   

Question 869774: An urn contains 10 marbles, each of which shows a number. Five marbles show 1,two marbles show 2 and three show 3.
A marble is drawn at random. If x is the number that shows find the followings:
The probability distribution and the cumulative distribution of the random variable x.
p(1≤x≤3),p(x<3) .
Find the mean of the random variable X.
Calculate the variance and standard deviation of the random variable X.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
x=1,P=5%2F10=1%2F2
x=2,P=2%2F10=1%2F5
x=3,P=3%2F10
Cumulative
x=1,F=1%2F2
x=2,F=1%2F2%2B1%2F5=7%2F10
x=3,F=1
Mean
mu=1%2A%281%2F2%29%2B2%281%2F5%29%2B3%283%2F10%29
mu=9%2F5
Variance

V=19%2F25
Standard Deviation
sigma=sqrt%28V%29
sigma=sqrt%2819%29%2F5