Consider the experiment where a pair of fair dice is thrown. let x denote the random variable whose value is determined by multiplying the number of spots showing on the one die by the number of spots showing on the other. the range of values that x can assume are the positive integers {1,2,3,4,5,6,8,9,10,12,15,16,18,20, 24,25,30,36}. give the corresponding probabilities for the values of x given below.

Step-by-step explanation:

Let the Variable "a" and "b"  denoted the the number on the dice.

As per question let X be random variable.

Step 1:

X=1, then (a,b) = (1,1)

so P(X=1) = 1/36

Step 2:

X=2, then (a,b) = (2,1) (1,2)

so P(X=2) = 2/36

Step 3:

X=3, then (a,b) = (3,1) (1,3)

so P(X=3) = 2/36

Step 4:

X=4, then (a,b) = (4,1) (1,4)

so P(X=4) = 3/36

Step 5:

X=5, then (a,b) = (5,1) (1,5)

so P(X=5) = 2/36

When X is divisible by 4 and variable "a" and "b" can be even number and one of them can be the multiple of 4 and other can be odd

P(X= m(4)) = (3 * 3) + (1 * 3) / 36 = 1/3

since the airplane is moving with constant speed then the distance travelled can be calculated by x=u*t

in km/h would be:

x=640*3.5=2.240 km

in m/s would be:

u=640 km/h= 640.000 m/h =640.000/ 3600 m/s =177.8 m/s

t= 3.5 h= 3.5 * 3600 s=12.600 s

then x=u*t= 177.8*12.600= 2.240.280 m

2.56 is the width of the garden

step-by-step explanation: