- Always define the random variable x first before using it in your solution.

- If the final answer exceeds five decimal places, round it off to four places only.

1. The probability that a student is accepted to a prestigious college is 0.3. If 5 students apply to the college, what is the probability that at most 2 are accepted?

2. An agent sells life insurance policies to five equally aged, healthy people. According to recent data, the probability of a person living in these conditions for 30 years or more is 2/3. Calculate the probability that after 30 years:

a. all five people are still living.

b. at least three people are still living.

c. exactly two people are still living.

3. We flip a coin 10 times. Find the probability that 6 heads are obtained.

4. A coin is tossed four times. Calculate the probability of obtaining more heads than tails.

5. If from six to seven in the evening one telephone line in every five is engaged in a conversation: what is the probability that when 10 telephone numbers are chosen at random, only two are in use?