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IB DP Binomial Distribution (Chapter 14)
Game Code: 254656
English
26
Public
Binomial Distribution, probability distribution function, calculating the probability of binomial distribution
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Ms. Czopek
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Share IB DP Binomial Distribution (Chapter 14)
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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
10
Find k.
k = 0.23
15
Find the probability that Sally has at least two hits in the softball game.
0.79
15
Find the probability that Sally has between 1 and 3 hits in the game, inclusive.
P(1 <= X <= 3) = 0.83
15
What is the mode?
3 hits is the mode
10
What is the median?
the median is 3 hits
15
Is the following a valid probability mass function? Why?
Yes
15
Is the following a valid probability mass function? Why?
Yes
15
a) i
Naomi
10
a) ii
Rosslyn
15
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.
15
Find a and b.
a = 0.15 and b = 0.35
25
Find E(X).
E(X) = 2.1
15
a)
X = the number of threes spun, only one - so it either is spun (p = 1/5) or not (1-p = 4/5)
20
b)
mu = 4 ; sigma = 1.79
20
a)
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