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Binomial Mean & Standard Deviation

Binomial Mean & Standard Deviation. Section 6.3C. It is estimated that 28% of all students enjoy math. If 30 people are selected at random, find the probability that. exactly 18 enjoy math. at least 24 enjoy math. Between 17 and 28 enjoy math . Mean.

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Binomial Mean & Standard Deviation

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  1. Binomial Mean & Standard Deviation Section 6.3C

  2. It is estimated that 28% of all students enjoy math. If 30 people are selected at random, find the probability that • exactly 18 enjoy math. • at least 24 enjoy math. • Between 17 and 28 enjoy math.

  3. Mean • If 90% of all people between the ages of 30 and 50 drive a car. Find the mean number (expected #) who drive in a sample of 40.

  4. Formulas

  5. If 8% of the population carry a certain gene, find the expected number who carry the gene in a sample of 80. Find the standard deviation.

  6. A club has 50 members. If there is a 10% absentee rate per meeting, find the mean, variance, and standard deviation of the number of people who will be absent form each meeting.

  7. GeometricDistribution

  8. Geometric – “Go Until” 40% of a large lot of electrical components are from ABA Company. If the components are selected at random, what is the probability that a component from ABA will not be selected until the third pick?

  9. Let’s derive a formula!

  10. Geometric Distribution Formula

  11. Flip a coin, what’s the probability that the 1st head occurs on the 4th trial?

  12. A batter has a 0.295 chance of getting a hit. Find the following probabilities: *doesn’t get a hit until his fourth time at bat *Gets his first hit on one of his first three times at bat *Doesn’t get a hit until after his third attempt

  13. The Probability that a person is colorblind is 8%. Find the probability that a colorblind person .. *is found on the sixth interview *is found before the second interview Is found among the first four interview Is found after four interviews.

  14. Geometric Mean • If Y is a geometric random variable with probability of success p on each trial, then its mean (expected value) is . • That is, the expected number of trials required to get the first success is .

  15. Suppose you roll a pair of fair, six-sided dice until you get doubles. Let T = the number of rolls it takes. • Find the probability that we roll doubles on the 3rd roll. • In the game of Monopoly, a player can get out of jail free by rolling doubles within 3 turns. Find the probability that this happens. • What is the expected number of trials required to get doubles?

  16. Homework • Worksheet

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