A) 8 possibilities
BBB
GBB, BGB, BBG
BGG, GBG, GGB
GGG
B) 0, 1, or 2 boys not 3
7/8
C) 2 or 3 girls
4/8=1/2
D) same sex
2/8=1/4
Answer:
P(X < 3) = 0.7443
Step-by-step explanation:
We are given that the random variable X has a binomial distribution with the given probability of obtaining a success. Also, given n = 6, p = 0.3.
The above situation can be represented through Binomial distribution;

where, n = number of trials (samples) taken = 6
r = number of success = less than 3
p = probability of success which in our question is 0.3.
LET X = a random variable
So, it means X ~ 
Now, Probability that X is less than 3 = P(X < 3)
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)
= 
=
= 0.11765 + 0.30253 + 0.32414 = 0.7443
Therefore, P(X < 3) = 0.7443.
31.4
Hope that helps you!