Answer:
a)
b)
Step-by-step explanation:
Previous concepts
The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.
The variance of a random variable X represent the spread of the possible values of the variable. The variance of X is written as Var(X).
Solution to the problem
For this case we have defined the following random variable Y="number of moving violations for which the individual was cited during the last 3 years. "
And we have the distribution for Y given:
y 0 1 2 3
P(y) 0.6 0.2 0.15 0.15
Part a
For this case the expected value is given by:
And if we replace the values given we have:
Part b
For this case we have defined a new random variable representing a subcharge, and we want to find the expected amount for this random variable, using properties of expected value we have:
And we can find on this way:
And if we replace the values given we have:
And then replacing we got:
Answer:
3x10 to the power of -2
Step-by-step explanation:
0.03=3x0.01
0.01=10 to the power of -2
For triangles Sum of any Two sides should be always more than the length of the Third side.
A) 2cm,8cm,8cm
8+8=16 >2 True
8+2=10 >8, True
8+2=10 >8, True
B) 2cm,3cm,6cm
2+3=5 > 6 False. It is impossible in a triangle.
3+6=9 > 2 True
2+6=8 >3 True
The answer is B.
Answer:
Step-by-step explanation:
So first of all, you can rearrange your equations:
4x + 7x = 11 can be rearranged and simplified to x = 11/7
x = y + 1 can be rearranged to y = x - 1
Then you can graph them like normal by plugging in points. It should look like the following picture