Quiz: The Binomial

A fair coin is tossed five times. Use this data for questions 1 through 6.

1. What is the probability that all five tosses show heads?
a. 0.0313
b. 0.10
c. 0.50
2. What is the probability that exactly two tosses show heads?
a. 0.25
b. 0.3125
c. 0.5001
3. What is the probability that more than three tosses show heads?
a. 0.1563
b. 0.1876
c. 0.5001
4. What is the probability that less than two tosses show heads?
a. 0.1876
b. 0.3125
c. 0.5001
5. The number of tosses showing heads is the variable of interest. What is the mean of the distribution?
a. 0.5
b. 2
c. 2.5
6. The number of tosses showing heads is the variable of interest. What is the standard deviation of the distribution?
a. 1.1180
b. 1.25
c. 2.5

A binomial distribution has 8 trials with probability of success 0.25 on each trial. Use this data for questions 7 through 12.

7. What is the probability of exactly 2 successes?
a. 0.2670
b. 0.3115
c. 0.5
8. What is the probability of at least 1 success?
a. 0.1001
b. 0.2670
c. 0.8999
9. What is the probability of more than 5 successes?
a. 0.0042
b. 0.0231
c. 0.0273
10. What is the probability of at most 2 successes?
a. 0.3115
b. 0.3671
c. 0.6786
11. What is the mean of the distribution?
a. 2
b. 4
c. 4.5
12. What is the standard deviation of the distribution?
a. 1.2247
b. 1.4142
c. 2.4494

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