A) Determine whether the distribution represents a probabilitydistribution. If i

Question

A) Determine whether the distribution represents a probabilitydistribution. If it does not state why?                a)X      1            6         11         16         21                    P(X)  1/7        1/7       3/7        2/7        1/7               b)  X         3           6               8                    P(X)    -0.3       0.6           0.7 B) Rolling Two Dice                   Usingthe sample space for tossing two dice, construct a probabilitydistribution for the sums 2 through 12. A) Determine whether the distribution represents a probabilitydistribution. If it does not state why?                a)X      1            6         11         16         21                    P(X)  1/7        1/7       3/7        2/7        1/7               b)  X         3           6               8                    P(X)    -0.3       0.6           0.7 B) Rolling Two Dice                   Usingthe sample space for tossing two dice, construct a probabilitydistribution for the sums 2 through 12.                    P(X)    -0.3       0.6           0.7 B) Rolling Two Dice                   Usingthe sample space for tossing two dice, construct a probabilitydistribution for the sums 2 through 12.

Explanation / Answer

a) X      1            6         11         16         21                    P(X)  1/7        1/7       3/7        2/7        1/7

here if the summation of the P(X) is 1 then its correct
like here we have summation = 1/7 + 1/7 + 3/7 + 2/7 + 1/7 = 8/7>1 so its wrong

now for the second one
b)  X         3           6               8                    P(X)    -0.3       0.6           0.7
here wee have the summation as = 0.7 + 0.6 - 0.3 = 1 so its correctbut teh probablity cannot be negative ever its always between 0 and1 so its wrong as a whole


now for the part B of the question:--
Rolling Two Dice                   Usingthe sample space for tossing two dice, construct a probabilitydistribution for the sums 2 through 12.
X                    2          3      4         5          6       7         8        9          10             11       12
P(X)               1/36       2/36   3/36   4/36   5/36     6/36   5/36  4/36     3/36         2/36        1 / 36


                   P(X)    -0.3       0.6           0.7
here wee have the summation as = 0.7 + 0.6 - 0.3 = 1 so its correctbut teh probablity cannot be negative ever its always between 0 and1 so its wrong as a whole


now for the part B of the question:--
Rolling Two Dice                   Usingthe sample space for tossing two dice, construct a probabilitydistribution for the sums 2 through 12.
X                    2          3      4         5          6       7         8        9          10             11       12
P(X)               1/36       2/36   3/36   4/36   5/36     6/36   5/36  4/36     3/36         2/36        1 / 36
Rolling Two Dice                   Usingthe sample space for tossing two dice, construct a probabilitydistribution for the sums 2 through 12.
X                    2          3      4         5          6       7         8        9          10             11       12
P(X)               1/36       2/36   3/36   4/36   5/36     6/36   5/36  4/36     3/36         2/36        1 / 36

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