Binomial Probability Requirements

An algebra 2 test has 6 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 6 questions, what is the probability that you get exactly 3 questions correct? (You need to figure out the p value first. It is not given to you.)

• 0.962

• 0.132

• 0.831

• 0.250

When rolling two dice, the probability of rolling doubles is ⅙. Suppose that a game player rolls the dice five times, hoping to roll doubles. What is the probability the player gets doubles less than three times in 5 attempts?

• 0.161

• 0.965

• 0.015

• 0.997

What does the n stand for in the binomial probability formula?

• Number of trials

• Number of Successes

• Probability of Successes

• Probability of Failures

What does the p stand for in the binomial probability formula?

• Number of trials

• Number of Successes

• Probability of Successes

• Probability of Failures

What does the (1-p) stand for in the binomial probability formula?

• Number of trials

• Number of Successes

• Probability of Successes

• Probability of Failures

Determine whether the given procedure results in a binomial distribution. If not, state why. Choosing 5 people (without replacement) from a group of 400 people, of which 150 are women, keeping track of the number of men chosen.

• No; trials are not independent

• No; need to keep track of number of women instead

• Yes; 5 is less than 5% of sample so dependent trials can be treated as independent.

Determine whether the given procedure results in a binomial distribution. If not, state why. Choosing 5 marbles from a box of 40 marbles (20 purple, 12 red, and 8 green) one at a time with replacement, keeping track of the number of green marbles chosen.

• Yes; fulfills all requirements.

• No; 5 is more than 5% of the population of marbles.

• No; must not use replacement.

Caribou Coffee has a 73% recognition rate. If a random sample of 10 people are selected, find the probability that the number of people who recognize the brand is NOT 8.

• 26.5%

• 73.5%

• 92%

• 8%

Ryley makes a her free throws 87% of the time. If she shoots 9 free throws, what is the probability that she makes exactly 8 of them?

• 87%

• 38.4%

• 61.6%

Assume that a researcher randomly selects 14 newborn babies and counts the number of girls selected. Find the probability of selecting exactly 10 girls.

• 6.1%

• 61%

• 50%

• 10%