I am not quite sure how to answer these questions. Please explain to me what the

Question

I am not quite sure how to answer these questions. Please explain to me what they are and why they are what they are.

Calculate the probability that both children are the same gender using this probability tree:

Random sampling from a population is a form of random trial. True or false?

FIGURE 5.7-1 A probability tree for all possible values of a two-child family. Sex of first Sex of second Probability child child Boy 0.512 x 0.512 0,262 0,512 Boy 0,512 488 x 0.488 0.250 Girl 0.512 Boy 0.488 x 0.512 0.250 0.512 0.488 Girl 0.488 Girl 0.488 x 0.488 0.238

Explanation / Answer

P(first child is Boy) = 0.512

P(first child is Girl) = 0.488

P(A/B) = Probability of A given B

P(second child is Boy/first child is Boy) = 0.512

P(second child is Girl/first child is Boy) = 0.488

P(second child is Boy/first child is Girl) = 0.512

P(second child is Girl/first child is Girl) = 0.488

probability that both children are the same gender

= P(first child is Boy)P(second child is Boy/first child is Boy) +P(first child is Girl)P(second child is Girl/first child is Girl)

= 0.512*0.512+0.488*0.488 = 0.5

b)Given Statement is true

Simple random sampling is the basic sampling technique where we select a group of subjects (a sample) for study from a larger group (a population). Each individual is chosen entirely by chance and each member of the population has an equal chance of being included in the sample.

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