Suppose you flip a fair coin twice

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Presentation transcript:

Suppose you flip a fair coin twice Suppose you flip a fair coin twice. What is the probability of getting a heads first, and then a tails? 0.25 0.5 0.75 1

Suppose you flip a fair coin twice Suppose you flip a fair coin twice. What is the probability of getting exactly 1 head in your two flips? 0.25 0.5 0.75 1

The binomial coefficient C(n,k) gives what information? The probability of obtaining k successes in n trials. The number of ways in which one can obtain k successes in n trials. The chance of observing a success.

In a pre-election poll, 400 of the 500 probable voters polled favored the incumbent. In this poll, the sample proportion, p-hat, of those favoring the challenger is: 0.80 0.20 0.50

Not enough information We want to take a sample of 100 items out of a large batch for quality control purposes. Based on past history, the proportion of defective items is 4%. Can we use the normal approximation to the binomial distribution to find the probability of finding more than 5 defective items in the sample of 100? Yes, because n is large No. Not enough information

You decide to test a friend for ESP using a standard deck of 52 playing cards. Such a deck contains 13 spades, 13 hearts, 13 diamonds, and 13 clubs. You shuffle the deck, select a card at random, and ask your friend to tell you whether the card is a spade, heart, diamond, or club. After the guess you return the card to the deck, shuffle the cards, and repeat the above. You do this a total of 100 times. Let X be the number of correct guesses by your friend in the 100 trials. The standard deviation of X is: 0.0433 0.433 4.33 18.75

Answers B,C,B,B,B,C,