Question

Each game costs $5 and four COINS are flipped simultaneously. If you get one head you get $2, if you get two heads you get $4, if you get three heads you get $10.

Question： create the experimental probability distribution, expected value and bar graph.

Compare the distribution, bar graph and expected value to the theoretical.

Four Coin Filp ：1-100

Three COINS out of a hundred trials are heads with a probability of 25

Two COINS out of a hundred trials are heads with a probability of 42

One COINS out of a hundred trials are heads with a probability of 23

Four COINS out of a hundred trials are heads with a probability of 4

Zero COINS out of a hundred trials are heads with a probability of 6

Answer 1

Experimental bar graph 0.45 0.4 0.35 0.3 0.25 0.2 0.15 0.1 0.05 0 4 1 2

Theoritical bar graph 0,4 0.35 0.3 0.25 0.2 0.15 0.1 0,05 A 3. 2 1 0 C

Ex peui mental dis aburon. heads NO x: Random Vasuablu PCA) X 0 06 Expucted value - O 2 3 O 2 3 2. O42 4.64 3 O 25 4 So you wauld loo money Tueouehical valu X O.06 2 5 /i6 E pected Ualu Че, () y 3/3 — 2я1 ЧхЗ+ l0! 2. Уч Чg (h)" 3 3 + 4 2 ч 1 Ч Shl yau uiauld loose Moner

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