Binomial Distribution Answers

19 verified answers2 views
1
Free Preview

Which three criteria do binomial experiments meet?

A
There are only two trials.
B
The trials are independent.
C
There are only two outcomes per trial.
D
Each outcome is repeatable.
E
The probability of success is the same for each trial.
2
Free Preview

Use the features on the left to identify which of the following are binomial experiments.

A
a survey asking 50 people their favorite food
B
a survey asking 50 people if they like pizza
C
a survey measuring 50 people to see if they are over 6 feet tall
D
a test of rolling a number cube 50 times and recording the result
3

k represents the number of trialsprobability of successnumber of successesprobability of failure.

A
number of trials
B
probability of success
C
number of successes
D
probability of failure
5

p =

Answer:

0.5

6

k =

Answer:

5

7

What does each variable represent?n represents the . p represents the . k represents the .

Answers:
Selection 1:number of trials
Selection 2:probability of success
Selection 3:number of successes
9

Question text not available

Answers:
.:probability of success
.:number of successes
15

The distribution is

A
symmetric.
B
skewed.
C
both symmetric and skewed.
17

Which of the following ideas did you include in your response? Check all of the boxes that apply.

A
The number of trials affects the distribution.
B
5 successes is the expected value for 10 trials.
C
5 successes is close to an end of the distribution for 20 trials.
18

p represents the number of trials✔ probability of successnumber of successesprobability of failure.

A
number of trials
B
✔ probability of success
C
number of successes
D
probability of failure
20

Explain why the second result is less.

Answer:

As the number of trials increases, the probability of getting exactly a specific number of successes that is far from the new mean decreases. For 10 trials with a 50% success rate, 5 is the expected value (mean) and has the highest probability. However, for 20 trials, the expected value is 10, and getting exactly 5 successes is much less likely because the distribution has spread out and centered around a higher value.

Did you find these answers helpful?