Question

1. BINOMIAL. For foxes, let’s say 32% are black. I am able to trap 10 foxes.

1. Define n, j, p, and q in words.

2. Fill in the numbers that represent n, j, p, and q.

3. The binomial coefficient represents ____________________ while the binomial distribution formula calculates ______________________. (Options include “the probability of an event occurring” and “the number of ways an event can occur”)

4. What is the probability that 7 of the 10 will be black?

5. What is the probability that 3 or fewer will be black?

Answer 1

a)

n is the total no. of trials for the binomial experiment.
j is the number of success
p is the probability of success of each trial
q is the probability of failure of each trial

b)

n=10
j=0,1,2,.....n
p=0.32
q=1-0.32=0.68

c)

The binomial coefficient represents the number of ways an event can occur while the binomial distribution formula calculates the probability of an event occurring.

d)

Probability that 7 of the 10 will be black

e)
Probability that 3 or fewer will be black