dit View Favorites Tools Help Suggested Sites. Web Slice Gallery QUESTION 5 The

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dit View Favorites Tools Help Suggested Sites. Web Slice Gallery QUESTION 5 The diagram (below right) shows a spinner made up of a piece of card in the shape of a regular pentagon, with a toothpick pushed through its center. The five triangles are numbered from 1 to s. Each time, the spinner is spun until it lands on one of the five edges of the pentagon. Use the binomial probablity formula to calculate the probability of at most three 4's. The spinner is spun five times. 5 2 4 3 0 a Approx. 32.77% Approx. 73.73% c Approx. 94.21% Approx. 99.33% 04

Explanation / Answer

#5.
Probability of getting any number, p = 1/5 = 0.2

P(X <= 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)
= (1 - 0.2)^5 - 5C1*0.2*0.8^4 - 5C2*0.2^2*0.8^3 + 5C3*0.2^3*0.8^2

= 0.9933

approx. 99.33%

#6.
P(X = 2) = 4C2 * 0.2^2 * 0.8^2
= 0.1536

apporx 15.36%

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