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Suppose that a family has 5 children. Also, suppose that the probability of having a girl is 1/2. Find the porbability that the family has no more than 3 girls.

Question

Suppose that a family has 5 children. Also, suppose that the probability of having a girl is 1/2. Find the porbability that the family has no more than 3 girls. 

check_circleAnswer
Step 1

From the given information, the family has 5 children and the probability of having a girl child is 1/2.

Let us define the random variable X ...

пе-а-(ere-o
Р(X 3Dх) —
(1-
-х
Р(x <3) -1-Р(х > 3)
-1-[Р(x-4)- P(x -5)]
-() 0s'а-0sp" ()(о3ўсо-0з
5
5-4
+
5-5
-1-
=1-0.1875
=0.8125
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пе-а-(ere-o Р(X 3Dх) — (1- -х Р(x <3) -1-Р(х > 3) -1-[Р(x-4)- P(x -5)] -() 0s'а-0sp" ()(о3ўсо-0з 5 5-4 + 5-5 -1- =1-0.1875 =0.8125

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Probability

Random Variables

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