Answer:
0.8125
Step-by-step explanation:
In this question, we are tasked with calculating the probability that 3 or less of her kittens were female.
Since each bsex is of likely probability, the probability of a male kitten = probability of a female kitten = 0.5
Now to calculate for 3 or less female kitten we are calcualting P(f) ≤ 3
In each case, we use the Bernoulli approximation
P(f) ≤ 3 = [tex]5C3 m^{2} f^{3} + 5C2 m^{2} f^{3} + 5C1 m^{4} f + 5C0 m^{5} f^{0}[/tex]
Where m is the probability of a male kitten and f is the probability of having a female kitten with both values = 0.5
P(f) ≤ 3 =(0.3125) + (0.3125) + (0.15625) + (0.03125) = 0.8125