Answer:
9 large apartments in B
Step-by-step explanation:
Same ratio
Building A = 12 small : 6 large
= 2 : 1
Building B = 18 small : x large
= 2 : 1
18/x = 2/ 1
18 = 2x
9 = x
Large apartments in B = 9
Using binomial distribution where success is the appearing of any of the top 10 most common names, thus probability of success (p) is 9.6% = 0.096 and the probability of failure = 1 - 0.096 = 0.904. Number of trials is 11.
Binomial distribution probability is given by P(x) = nCx (p)^x (q)^(n - x)
Probability that none of the top 10 most common names appears is P(0) = 11C0 (0.096)^0 (0.904)^(11 - 0) = (0.904)^11 = 0.3295
Thus, the probability that at least one of the 10 most common names appear is 1 - 0.3295 = 0.6705
Therefore, I will be supprised that none of the names of the authors were among the 10 most common names given that the probability that at least one of the names appear is 67%.
Answer:
3 ways
Step-by-step explanation:
Given that Annie, Becca, Carlos, and Dante are exchanging graduation presents and Everyone brings one present and leaves with a different one.
Let A,B,C and D represent Annie, Becca, Carlos, and Dante presents respectively.
Since Dante already left with Becca's present already.
The possible ways to sharing the presents without going against the stated rule is;
Ways : 1. 2. 3. (Number of ways.)
Annie : C D C
Becca : A C D
Carlos : D A A
Dante : B B B
Therefore, there are three possible ways of distributing the rest of the gifts.