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IB DP Binomial Distribution (Chapter 14)
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If X ~ B(9, 0.65), find P(X > 6)
0.3373
If X ~ B(17, 2/3), find P(X ≥ 10)
0.8281
If X ~ B(15, 5/6), what is P(X ≥ 9)?
0.9934
If X ~ B(11, 0.35), find P(X < 8)
0.9878
If X ~ B(19, 0.85) find P(X ≤ 11)
0.0041
If X ~ B(10, 0.5), find P(X ≤ 7)
0.9453
How do we find Spearman's correlation coefficient?
Find the ranks of each data set, then LinReg()
How do we find Pearson's correlation coefficient?
LinReg()
b) ii
P(50 <= X <= 60) = 0.0931
b) i
P(X < 40) = 0.334
a)
42 donations
b)
mu = 4 ; sigma = 1.79
a)
X = the number of threes spun, only one - so it either is spun (p = 1/5) or not (1-p = 4/5)
Find E(X).
E(X) = 2.1
Find a and b.
a = 0.15 and b = 0.35
b) (remember what that means... you are finding the exp...)
Rosslyn because she is expected to earn 5.94 points per shot as opposed to 5.7 points for Naomi.
a) ii
Rosslyn
a) i
Naomi
Is the following a valid probability mass function? Why?
Yes
Is the following a valid probability mass function? Why?
Yes
What is the median?
the median is 3 hits
What is the mode?
3 hits is the mode
Find the probability that Sally has between 1 and 3 hits in the game, inclusive.
P(1 <= X <= 3) = 0.83
Find the probability that Sally has at least two hits in the softball game.
0.79
Find k.
k = 0.23
State clearly what the random variable represents.
X represents the number of hits that Sally has in a softball match. X= 0, 1, 2, 3, 4, 5


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