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More with the Bernoulli’s

More with the Bernoulli’s. Frogs!.

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More with the Bernoulli’s

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  1. More with the Bernoulli’s Frogs!

  2. A wildlife biologist examines frogs for a genetic trait he suspects may be linked to sensitivity to industrial toxins in the environment. Previous research had established that this trait is usually found in 1 of every 8 frogs. He collects and examines a dozen frogs.

  3. A wildlife biologist examines frogs for a genetic trait he suspects may be linked to sensitivity to industrial toxins in the environment. Previous research had established that this trait is usually found in 1 of every 8 frogs. He collects and examines a dozen frogs. What’s the probability he finds the trait in none of the 12 frogs?

  4. A wildlife biologist examines frogs for a genetic trait he suspects may be linked to sensitivity to industrial toxins in the environment. Previous research had established that this trait is usually found in 1 of every 8 frogs. He collects and examines a dozen frogs. What’s the probability he finds the trait in at least 2 frogs?

  5. A wildlife biologist examines frogs for a genetic trait he suspects may be linked to sensitivity to industrial toxins in the environment. Previous research had established that this trait is usually found in 1 of every 8 frogs. He collects and examines a dozen frogs. What’s the probability he finds the trait in 3 or 4 frogs?

  6. A wildlife biologist examines frogs for a genetic trait he suspects may be linked to sensitivity to industrial toxins in the environment. Previous research had established that this trait is usually found in 1 of every 8 frogs. He collects and examines a dozen frogs. What’s the probability he finds the trait in no more than 4 frogs?

  7. Based on concerns raised by his preliminary research, the biologist decides to collect and examine 150 frogs. Determine the mean and stdev of the number of frogs with the trait (still 1 in 8) he should expect to find in his sample

  8. Based on concerns raised by his preliminary research, the biologist decides to collect and examine 150 frogs. Verify he can use a normal model to approximate the distribution of frogs with the trait.

  9. Based on concerns raised by his preliminary research, the biologist decides to collect and examine 150 frogs. He found the trait in 22 of his frogs. Does this prove the trait has become more common?

  10. Lefties

  11. A lecture hall has 200 seats with folding arm tablets, 30 of which are designed for left-handers. The typical size of classes that meet there is 188, and we can assume that about 13% of students are left—handed. What's the probability that a right-handed student will be forced to use a lefty arm tablet?

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