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You are told that the triangle is a right triangle so you know that the angle ABC is 90 degrees. From there you can say that the edition of both expressions will be equal to 90. You use this information to create an equation as the one I showed and solve for x using distributive property, combining like terms, opposite operations and commutative property. Once you have the value of x you can substitute into each expression to find out the measurement of ABD and DBC
Answer:
a)
b)
And we have the following table:
X | 0 | 1 | 2
P(X) | 0.25 | 0.5 | 0.25
Step-by-step explanation:
Let's define first some notation
H= represent a head for the coin tossed
T= represent tails for the coin tossed
We are going to toss a coin 2 times so then the size of the sample size is
a. What is the sample space for this chance experiment?
The sampling space on this case is given by:
b. For this chance experiment, give the probability distribution for the random variable of the total number of heads observed.
The possible values for the number of heads are X=0,1,2. If we assume a fair coin then the probability of obtain heads is the same probability of obtain tails and we can find the distribution like this:
And we have the following table:
X | 0 | 1 | 2
P(X) | 0.25 | 0.5 | 0.25