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AP Statistics / Mr. Hansen |
Name: _________________________ |
Check For Understanding on §8.1
Instructions: Try to answer these questions without consulting your textbook.
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1. |
A random variable X that follows a __________ distribution, abbreviated B( ___ , ___ ), gives the number of __________ when exactly n __________ trials are made, where each trial has only _____ possible outcomes, called "__________" and "__________." The probability of success on each trial is a fixed constant _____ , and the probability of failure on each trial is a fixed value 1 – p, often abbreviated _____ . |
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2. |
The probability of exactly a successes (a £ n) in the B(n, p) distribution is given by the formula ___________ = ___________________________ . |
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3. |
The mean (expected value) of a binomial random variable X is ____________ if X follows the B(n, p) distribution. The standard deviation of X is ______________ . |
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4. |
To find P(X = a) for a binomial distribution, use the following calculator keystrokes: |
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5. |
To find P(X £ a) for a binomial distribution, use the following calculator keystrokes: |
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6. |
If a fair coin is flipped 150 times, compute each of the following: |
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(a) |
the probability that there are exactly 75 heads |
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(b) |
the probability that there are at least 75 heads |
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(c) |
the probability that there are 75 or 76 heads |
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(d) |
the expected number of heads |
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(e) |
the standard deviation in the number of heads that occur |
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(f) |
the probability that there are more than 95 heads |