Binomial Distribution Probability

In a survey, it is found that 25% of the bulbs in a particular shop are spoilt. Find the probability that out of 10 bulbs, exactly 3 bulbs are spoilt.

• 0.261

• 0.250

• 0.353

• 0.256

In a survey, it is found that 25% of the bulbs in a particular shop are spoilt. Find the probability that out of 10 bulbs, more than 8 bulbs are in good condition.

• 0.2540

• 0.2440

• 0.4440

• 0.5260

What is the probability of tossing a coin 5 times and having it land tails-side-up 4 of the 5 times?

• 7.8 %

• 80 %

• 1.6 %

• 20 %

In a certain town, 75% of all drivers are insured. What is the expected number of insured drivers present in a group of 200 randomly selected townspeople?

• 75

• 150

• 175

• 125

When rolling two dice, the probability of rolling doubles is ⅙. Suppose that a player rolls the dice five times, hoping to roll doubles. Find the probability that the player gets doubles exactly twice in 5 attempts.

• 0.884

• 0.139

• 0.965

• 0.161

A company states that 2% of its computers are returned for defects.  We take a sample of 100 computers to find the probability of 10 being defective.  Is this a binomial distribution?

• No because there is not a fixed number of trials.

• No because their are more than 2 outcomes.

• Yes since there are a fixed number of independent trials, outcomes in 2 categories, and the probability of defect is constant.

• No since computers would not be independent.

An algebra 2 test has 6 multiple choice questions with 4 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?

• 0.962

• 0.132

• 0.831

• 0.250

The table represents the probability of guessing correct on a 5 question true-false quiz.  Find the probability for at least 4 questions correct.

• .03125

• .15625

• .3125

• .1875

The formula shown produces what result?

• The probability of exactly x successes in n trials

• The probability of no more than x successes in n trials

• The probability of success on any single trial.

• The probability of at least x successes in n trials.

Choose the correct sign:

'probability at least 7'

• P(X>7)

• P(X<7)

• P(X≥7)

• P(X≤7)