6.1
6.2
6.3
6.4
100
A ___________ takes numerical values that describe the outcomes of a chance process.
Random variable
100
This is the probability distribution for X, the number of siblings of a randomly selected student.
What type of random variable is this?
Discrete
100
What are the 4 characteristics of a binomial setting?
Binary Outcomes
Independent trials
Number of trials is fixed
Same probability of success for each trial
100
Before every football game, there is a coin toss to determine which team will kick off first. If FSU has 15 regular season games, what is the probability that they win exactly 7 coin tosses?
Use the binomial formula n=15, p = 0.5, r = 7
0.1964
200
Classify the following as discrete or continuous:
The number of siblings of a student.
Discrete
200
What type of graphical display would you use for a discrete random variable? What goes on the x and y axes?
Bar chart
x - the values the variable takes
y - probability
200
Before every football game, there is a coin toss to determine which team will kick off first. FSU has 15 regular season games. Let X represent the number of games out of 15 that FSU wins the coin toss.
Is the following a binomal setting? Why?
Yes
200
The probability distribution of the random variable X is approximately normal. If you are looking for the P(X>r) and get a z-score of 1, what is probability?
From table A for z = 1 area = 0.8413
1 - 0.8413 = 0.1587
300
What two requirements must be met for the probability distribution of a discrete random variable to be valid?
Each probability must be a value between 0 and 1 (inclusive) and the sum of all probabilities must be 1.
300
This is the probability distribution for X, the number of siblings of a randomly selected student.
What is the mean?
1.8 siblings
300
What does each part of the binomial formula represent?
r is the number of successes
nCr is the number of ways to get r successes
p is the probability of success
n is the number of trials
(1-p) is the probability of failure
(n-r) is the number of failures
300
Before every football game, there is a coin toss to determine which team will kick off first. FSU has 15 regular season games. Can we use a normal distribution to find the probability of winning r number of games or fewer? Why?
No because the large counts condition is not met.
400
If passenger wait times at an airport security checkpoint can be modeled by a uniform distribution on the interval from 0 to 15 minutes, what is the probability a passenger has to wait more than 10 minutes.
0.33
400
The random variable X is the number of siblings of a randomly selected student. The mean and standard deviation of the distribution are 1.8 and 1.12.
Interpret the standard deviation.
If many, many students are randomly selected, the number of siblings will typically vary by about 1.12 siblings from the mean of 1.8 siblings.
400
Before every football game, there is a coin toss to determine which team will kick off first. FSU has 15 regular season games. Let X represent the number of games out of 15 that FSU wins the coin toss. What are the mean and standard deviation of the probability distribution?
400
The probability that FSU men's basketball wins a jump ball is 0.60. If there are 50 jump balls in a season, what is the probability that they win fewer than 20 in the season?
Mean = 30
SD = 3.4641
z = -2.89
area = 0.0019