Determine whether or not the following situations are binomial or not.
Not Binomial
Binomial
Biologists estimate that a randomly selected baby elk has a 44% chance of surviving to adulthood. Assume this estimate is correct. Suppose researchers choose 7 baby elk at random to monitor. Let X=the number that survive to adulthood.
Lawrence likes to shoot a bow and arrow in his free time. On any shot, he has about a 10% chance of hitting the bullseye. As a challenge one day, Lawrence decides to keep shooting until he gets a bullseye. Let X=the number of shots he takes.
Put the names of all the students in your statistics class in a hat. Mix them up, and draw 4 names without looking. Let Y=the number of studnets whose last names have more than 6 letters.
When rolling two fair, 6-sided dice, the probability of rolling doubles is 1/6. Suppose that Elias rolls the dice 4 times. Let W=the number of times he rolls doubles.
Use the following situation to answer Questions 2-4:
An online spinner has two colored regions-blue and yellow. According to the website, the probability that the spinner lands in the blue region on any spin is 0.80. Assume for now that this claim is correct. Suppose we spin the spinner 12 times. Let X=the number of times it lands in the blue region.
Find P(X=8).
Use the following situation to answer Questions 5-8:
Biologists estimate that a randomly selected baby elk has a 44% chance of surviving to adulthood. Assume this estimate is correct. Suppose researchers choose 7 baby elk at random to monitor. Let X=the number that survive to adulthood.
Find P(X=4).
Find the probability that exactly 6 baby elk survive to adulthood. Round to two decimal places.
Find the probability that less than 2 baby elk survive to adulthood. Round to two decimal places
Is this a binomial random variable? Choose ALL that apply.