Suppose that a survey is taken of a sample of portuguese parents with at least one child under the age of 20 living at home. the parents are asked to report the number of days per week, , in which they have family dinner at home. identify which of the tables are valid probability models for . 0 1 2 3 4 5 6 7 (x) 0.100.10 0.050.05 0.100.10 0.200.20 00 0.100.10 0.200.20 0.250.25 0 1 2 3 4 5 6 7 (x) 0.1250.125 0.1250.125 0.1250.125 0.1250.125 0.1250.125 0.1250.125 0.1250.125 0.1250.125 0 1 2 3 4 5 6 7 (x) 0.100.10 0.150.15 0.200.20 0.250.25 0.300.30 0.350.35 0.400.40 0.450.45 0 1 2 3 4 5 6 7 (x) 00 1010 1010 1010 1010 1010 2525 2525 0 1 2 3 4 5 6 7 (x) −0.50−0.50 0.200.20 0.200.20 0.200.20 0.200.20 0.200.20 0.200.20 0.200.20

Step-by-step explanation:

For a valid probability model for X.

For X=0,1,2,3,4,5,6,7

\small 0\leq P(X)\leq 1 (as P(X) is Probability ; Probability can only between 0 and 1).

On this Count ;

these options are not valid ; 3 and 5

X            0   1   2   3   4    5   6  7

P(X)        0   l0 l0   l0   l0 l0   25 25

X          0         I        2       3       4       5          6          7

P(X)  -0.50  0.20  0.20 0.20 0.20  0.20    0.20   0.20      

And also for a valid probability model for X.  

\small \sum_{X=0}^{7}P(X) =1  

For option 1:

\small \sum_{X=0}^{7}P(X) =0.125+0.125+0.125+0.125+0.125+ 0.125+0.125+0.125=1

Option1 satisfies both the conditions

Option 2 :

\small \sum_{X=0}^{7}P(X) =0.10+0.05+0.10+0.20+0+ 0.10+0.20+0.25=1

Option 2 satisfies both the conditions

For Option 4,

\small \sum_{X=0}^{7}P(X) =0.10+0.15+0.20+0.25+0.30+ 0.35+0.40+0.45=2.2\small \sum_{X=0}^{7}P(X) =2.2\neq 1

Hence option 4 does not satisfy condition 2

SO , the correct answer is option 1 and 2

X     0     1    2       3     4    5     6     7

PX) 0.125 0.125 0.125 O.125 0.125 0.125 0.125 0.123

X     0     1    2       3     4    5     6     7

PX) 0.10   0.05 0.10    0.20   0    0.10 0.20  0.25

solution:

→c= a b , that is product of a and b is possible only when when a is m × n matrix and b is n × p matrix.

that is, number of columns of a= number of rows of b.

so, size of matrix , c= a b is , if a = (m × n)matrix

b= (n × p)matrix

then a b = [ (m × n)matrix] ×[   (n × p)matrix ]

→→c= a b= [m × p ] matrix

→→size of product a b will be equal to = number of rows of a × number of columns of b

part a

in a city ice cream is mostly only bought when the temperature is very high as ice cream cools down our

so we can derive the conclusion that as the temperature increases the number of ice creams sold also increases

part b

y intercept is 5

slope is 2

happy to

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