Statistical Analysis Flashcards
In a lottery the probability of the jackpot prize being won is 1/60.
a) What is the probability that the jackpot will be won in 4 consecutive draws?
b) How many consecutive draws need to be made for there to be a greater than 98% chance that at least one jackpot prize will have been won.
a) 60^(-4)
b) 233
Jack and Ben have been tracking their success rate of converting goals in their rugby games. Jack converts 70% of his goals and Ben converts 60%. At a recent home game, both get a kick, but only one converts his goal. What is the probability that it was Ben?
= 0.46/0.18
≈ 0.3913
= 39.13%
What does P(X=x) mean?
Probability that a random variable X takes the value of x
Which type of experiment has one possible outcome?
Deterministic Experiment
Which type of experiment has more than one possible outcome?
Random Experiment
What is p(x)
P(X=x)
How is expected value denoted/written in math?
E(X)
Formula of E(X) using weighted mean?
E(X) = Σxp(x)
Formula for mean (μ)?
μ = Σxp(x)
Variance Formula?
Var(X) = Σ(x-μ)²p(x)
Variance Formula?
Var(X) = E((X-μ)²)
Variance Formula?
Var(X) = Σx²p(x)-μ²
Variance Formula
Var(X) = E(X²)-μ²
Standard Deviation Formula?
σ = √(Var(X))
How is relative frequency written?
f_r
How is the mean denoted in sampling?
x̄
How is variance written in sampling?
s²
How is standard deviation written in sampling?
s
