Select all that apply. Which of the following probabilities can be found using the binomial distribution?
A binomial distribution has only two possible outcomes. You can think of them as successes and failures. For the correct answers, the successes are:
a flip of heads, a win for Susan, a group member who has passed the midterm, and a correct answer on a multiple-choice question.
true
The probability that 3 out of 8 tosses of a coin will result in heads
true
The probability that Susan will beat Shannon in two of their three tennis matches
false
The probability of rolling at least two 3's and two 4's out of twelve rolls of a die
false
The probability of getting a full house poker hand
true
The probability that all 5 of your randomly-chosen group members will have passed the midterm
true
The probability that a student blindly guessing will get at least 8 out of 10 multiple-choice questions correct
You flip a fair coin 10 times. What is the probability of getting 8 or more heads?
.0547
0.005
You may use the Binomial Calculator (n = 10, p = .5, > or = 8). Otherwise add up the probability of getting 8, 9, and 10 heads:
.044 + .01 + .001 = .055
The probability that you will win a certain game is 0.3. If you play the game 20 times, what is the probability that you will win at least 8 times?
.2277
0.005
Use the Binomial Calculator (n = 20, p = .3, > or = 8). p = .23
The probability that you will win a certain game is 0.3. If you play the game 20 times, what is the probability that you will win 3 or fewer times?
.1071
0.008
Use the Binomial Calculator (n = 20, p = .3, less than or = 3). p = .11
The probability that you will win a certain game is 0.3. You play the game 20 times. What is the mean of this binomial distribution?
6
0.0
M = np = 20 x .3 = 6
A biased coin has a .6 chance of coming up heads. You flip it 50 times. What is the variance of this distribution?
12
0.0
Var = np(1-p) = 50(.6)(1-.6) = 12