Answer:
0.3723
Step-by-step explanation:
Since the number of girls = X
Probability of girls p = 0.53
Probability of boys q = 0.47
Number of observation n = 4
A) conditions for binomial distribution are
1: The number of observations n must be fixed.
2: Each observation is independent. 3: Each observation represents one of two outcomes ("success" or "failure").
B) for the question n = 4
p (probability of success for girls) = 0.53
C) n=4, r (number of trials) = 2
Using binomial expansion
4C2 *(p)² *(q)² = 6* (0.53)² * (0.47)²
= 0.3723
Therefore, the probability of the family having two boys and two girls is 0.3723.
