Question

Binomial Distribution 1. Determine if the following situations suggest a random variable with a binomial distribution: a. The number of questions correct if one randomly guesses on a quiz of 20 multiple choice questions where each question has 4 possible answers. b. The number of people with blue eyes in a group of 10 people was drawn from a room of 30 people without replacement. c. The number of bird chirps one can hear in a day if the average number of chirps per hour is 15 . d. The number of heads seen in 30 flips of a coin. e. The number of each of 3 species of flowers is present in a collection of 100 flowers. f. The number of rolls of two dice that result in a prime total if the dice are rolled 50 times. g. The number of 400 subjects taking Atorvastatin that indicated they experienced a headache the same day they first took this drug. 2. For each random variable below that follows a binomial distribution corresponding to the given number of trials \( n \), and probability of success \( p \), find the probability of seeing \( x \) successes. a. \( \mathrm{n}=12, \mathrm{p}=3 / 4, \mathrm{x}=10 \)

          Binomial Distribution
1. Determine if the following situations suggest a random variable with a binomial distribution:
a. The number of questions correct if one randomly guesses on a quiz of 20 multiple choice questions where each question has 4 possible answers.
b. The number of people with blue eyes in a group of 10 people was drawn from a room of 30 people without replacement.
c. The number of bird chirps one can hear in a day if the average number of chirps per hour is 15 .
d. The number of heads seen in 30 flips of a coin.
e. The number of each of 3 species of flowers is present in a collection of 100 flowers.
f. The number of rolls of two dice that result in a prime total if the dice are rolled 50 times.
g. The number of 400 subjects taking Atorvastatin that indicated they experienced a headache the same day they first took this drug.
2. For each random variable below that follows a binomial distribution corresponding to the given number of trials \( n \), and probability of success \( p \), find the probability of seeing \( x \) successes.
a. \( \mathrm{n}=12, \mathrm{p}=3 / 4, \mathrm{x}=10 \)

Binomial Distribution
1. Determine if the following situations suggest a random variable with a binomial distribution:
a. The number of questions correct if one randomly guesses on a quiz of 20 multiple choice questions where each question has 4 possible answers.
b. The number of people with blue eyes in a group of 10 people was drawn from a room of 30 people without replacement.
c. The number of bird chirps one can hear in a day if the average number of chirps per hour is 15 .
d. The number of heads seen in 30 flips of a coin.
e. The number of each of 3 species of flowers is present in a collection of 100 flowers.
f. The number of rolls of two dice that result in a prime total if the dice are rolled 50 times.
g. The number of 400 subjects taking Atorvastatin that indicated they experienced a headache the same day they first took this drug.
2. For each random variable below that follows a binomial distribution corresponding to the given number of trials n, and probability of success p, find the probability of seeing x successes.
a. n=12, p=3 / 4, x=10

Added by Ferdelita D.

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