Answer:
[tex] X \sim Binom(n=2, p=0.25)[/tex]
And for this case we want to find the following probability:
[tex] P(X=0)[/tex]
And we can use the probability mass function given by:
[tex] P(X) = nCx (p)^x *1-p)^{n-x}[/tex]
And replacing we got:
[tex] P(X=0)= (2C0) (0.25)^0 (1-0.25)^{2-0}= 0.5625= \frac{9}{16}[/tex]
Step-by-step explanation:
For this problem we can define the random variable of interest X as "the number of bxes with a cereal" and for this problem we can model the variable with the following distribution:
[tex] X \sim Binom(n=2, p=0.25)[/tex]
And for this case we want to find the following probability:
[tex] P(X=0)[/tex]
And we can use the probability mass function given by:
[tex] P(X) = nCx (p)^x *1-p)^{n-x}[/tex]
And replacing we got:
[tex] P(X=0)= (2C0) (0.25)^0 (1-0.25)^{2-0}= 0.5625= \frac{9}{16}[/tex]
