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Unit 9 Day 9 Binomial Probability Model Practice

Last updated over 4 years ago
14 questions
4

About 8% of males are colorblind. A researcher has a list of 12 men who have volunteered to be tested.
Identify the binomial probability model.
Use the format:


Keep your percent as a decimal.

4

About 8% of males are colorblind. A researcher has a list of 12 men who have volunteered to be tested.
Find the probability that none of the 12 men is colorblind.
Use the TI-84 calculator set up.
Hint: none would mean zero are color blind.

Use:
2nd, VARS, scroll up to binompdf( (if you want to find the probability of one result)
or
use binomcdf( (if you want to find the probability of x or fewer successes among the n trials)
Enter the values for 'trials', 'p' (probability of success) and for 'x value' (the number of successes)

Keep your answer as a decimal, rounded to three places past the decimal point.

4

About 8% of males are colorblind. A researcher has a list of 12 men who have volunteered to be tested.
Use the TI-84 calculator set up to find the probability that exactly one of the 12 men is colorblind.
Hint: X=1

Use:
2nd, VARS, scroll up to binompdf( (if you want to find the probability of one result)
or
use binomcdf( (if you want to find the probability of x or fewer successes among the n trials)
Enter the values for 'trials', 'p' (probability of success) and for 'x value' (the number of successes)

Keep your answer as a decimal, rounded to three places past the decimal point.

4

About 8% of males are colorblind. A researcher has a list of 12 men who have volunteered to be tested.
Use the TI-84 calculator set up to find the probability that exactly two of the 12 men is colorblind.

Use:
2nd, VARS, scroll up to binompdf( (if you want to find the probability of one result)
or
use binomcdf( (if you want to find the probability of x or fewer successes among the n trials)
Enter the values for 'trials', 'p' (probability of success) and for 'x value' (the number of successes)

Keep your answer as a decimal, rounded to three places past the decimal point.

4

About 8% of males are colorblind. A researcher has a list of 12 men who have volunteered to be tested.
Use the TI-84 calculator set up to find the probability that exactly three of the 12 men is colorblind.

Use:
2nd, VARS, scroll up to binompdf( (if you want to find the probability of one result)
or
use binomcdf( (if you want to find the probability of x or fewer successes among the n trials)
Enter the values for 'trials', 'p' (probability of success) and for 'x value' (the number of successes)

Keep your answer as a decimal, rounded to three places past the decimal point.

4

About 8% of males are colorblind. A researcher has a list of 12 men who have volunteered to be tested.

Use the TI-84 calculator set up to find the probability that at most three of the 12 men is colorblind.
Hint:
this means zero, or one or two or three OR three or fewer.
P(x=0, 1, 2 or3) =P(x<3)=

Use:
2nd, VARS, scroll up to binompdf( (if you want to find the probability of one result)
or
use binomcdf( (if you want to find the probability of x or fewer successes among the n trials)
Enter the values for 'trials', 'p' (probability of success) and for 'x value' (the number of successes)

Keep your answer as a decimal, rounded to three places past the decimal point.

4

Hoping to find many men who are colorblind for her study, the researcher in the above scenario tests 450 men for her study. Keep in mind that about 8% of men are colorblind.
What is the expected value for the number of men she can expect to be colorblind?
Remember:

4

Hoping to find many men who are colorblind for her study, the researcher in the above scenario tests 450 men for her study.

What is the standard deviation for the number of men she can expect to be colorblind?


Enter your answer as a decimal rounded to three places past the decimal point.

4

If the probability that a light bulb is defective is 0.1,
what is the binomial probability model for the situation involving 7 light bulbs?
Use the format:

4

If the probability that a light bulb is defective is 0.1, what is the probability that exactly 3 out of 7 bulbs are defective?

Use:
2nd, VARS, scroll up to binompdf( (if you want to find the probability of one result)
or
use binomcdf( (if you want to find the probability of x or fewer successes among the n trials)
Enter the values for 'trials', 'p' (probability of success) and for 'x value' (the number of successes)

Enter your answer as a decimal rounded to three places.

4

If the probability that a light bulb is defective is 0.1, what is the probability that no more than 2 out of 5 bulbs are defective? (this means 2 or fewer)

Use:
2nd, VARS, scroll up to binompdf( (if you want to find the probability of one result)
or
use binomcdf( (if you want to find the probability of x or fewer successes among the n trials)
Enter the values for 'trials', 'p' (probability of success) and for 'x value' (the number of successes)

Enter your answer as a decimal rounded to three places.

4

If the probability that a light bulb is defective is 0.1, what is the probability that 4 OR 5 out of 10 bulbs are defective?

Use:
2nd, VARS, scroll up to binompdf( (if you want to find the probability of one result)
or
use binomcdf( (if you want to find the probability of x or fewer successes among the n trials)
Enter the values for 'trials', 'p' (probability of success) and for 'x value' (the number of successes)

Enter your answer as a decimal rounded to three places.

4

The probability that a light bulb is defective is 0.1and 254 light bulbs will be evaluated.

What is the expected value for the number of defective light bulbs?
Remember:


Enter your answer as a decimal, keep all decimal places.

4

The probability that a light bulb is defective is 0.1and 254 light bulbs will be evaluated.

What is the standard deviation for the number of defective light bulbs in 254 bulbs?
Remember:


Enter your answer as a decimal, round to three places.