5.3 Binomial Random Variables & Probability

1

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 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.

1

Find P(X=4).

1

Interpret the probability from #5 in context of the problem. 

The probability exactly _______ out of _______ elk survive to adulthood is _______.

1

5.3 Binomial Random Variables & Probability

Determine whether or not the following situations are binomial or not.

Is this a binomial random variable? Choose ALL that apply.

Find P(X=8).

Find P(X=4).

Determine whether or not the following situations are binomial or not.

Is this a binomial random variable? Choose ALL that apply.

Find P(X=8).

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

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