In a game, a die is thrown and has the following probability distribution. the game is free to play. the payoff for some of the values was randomly generated: outcome 1 2 3 4 5 6 probability 1 6 1 6 1 6 1 6 1 6 1 6 payoff $3 $5 -$10 $11 $3 ? what would the payoff of the outcome of 6 have to be for this to be a fair distribution? (hint: expected value = $0

the answer will be

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b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation:

a. 32 degrees

step-by-step explanation:

here we have to use the rule.

m∠e = 1/2 (major arc - minor arc)

m∠e = 1/2 (212 - 148)

m∠e = 1/2 (64)

m∠e = 32 degrees

answer: a. 32 degrees

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