IB DP Binomial Distribution (Chapter 14) | Baamboozle - Baamboozle

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b) ii

P(50 <= X <= 60) = 0.0931

a)

42 donations

a) i

Naomi

How do we find Spearman's correlation coefficient?

Find the ranks of each data set, then LinReg()

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.

If X ~ B(10, 0.5), find P(X ≤ 7)

0.9453

What is the median?

the median is 3 hits

a)

X = the number of threes spun, only one - so it either is spun (p = 1/5) or not (1-p = 4/5)

Find the probability that Sally has at least two hits in the softball game.

0.79

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

a) ii

Rosslyn

Is the following a valid probability mass function? Why?

Yes

How do we find Pearson's correlation coefficient?

LinReg()

Find E(X).

E(X) = 2.1

Find a and b.

a = 0.15 and b = 0.35

What is the mode?

3 hits is the mode

If X ~ B(9, 0.65), find P(X > 6)

0.3373

Find k.

k = 0.23

Is the following a valid probability mass function? Why?

Yes

If X ~ B(19, 0.85) find P(X ≤ 11)

0.0041

Find the probability that Sally has between 1 and 3 hits in the game, inclusive.

P(1 <= X <= 3) = 0.83

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

b)

mu = 4 ; sigma = 1.79

b) i

P(X < 40) = 0.334

If X ~ B(11, 0.35), find P(X < 8)

0.9878