Warm-up The mean grade on a standardized test is 88 with a standard deviation of 3.4. If the test scores are normally distributed, what is the probability.

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Presentation transcript:

Warm-up The mean grade on a standardized test is 88 with a standard deviation of 3.4. If the test scores are normally distributed, what is the probability that a person scored less than an 84?

MEAN & STANDARD DEVIATION Section 6.1B

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Standard Deviation Describes the variation of the distribution. Symbol is If it’s small, then x is close to the mean. If it’s large then there’s more variability.

Flip 3 coins – what’s the mean number of heads. x = # heads p(x)

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A person selects a card from a deck. If it is a red card, he wins $1. If it is a black card between or including 2 and 10, he wins $5. If it is a black face card, he wins $10, and if it is a black ace, he wins $100. Find the expectation of the game. What would it be if it cost $10 to play? What should I charge to make it a fair game?

On a roulette wheel, there are 38 slots numbered 1 through 36 plus 0 and 00. Half of the slots from 1 to 36 are red; the other half are black. Both the 0 and 00 slots are green. Suppose that a player places a simple $1 bet on red. If the ball lands in a red slot, the player gets the original dollar back, plus an additional dollar for winning the bet. If the ball lands in a different-colored slot, the player loses the dollar bet to the casino. What is the player’s average gain?

Homework Page 354 (9 – 12),15, 16, 18, 19, 28, 29, 30)