Binomial Distribution Probability

Is this binomial experiment? Shuffle a deck of 52 cards. Turn over the top card. Put the card back in the deck, shuffle again. Repeat the process 50 times. Let X = the number of aces you observe.

• Yes

• No, the trials are not independent.

• No, there are more than 2 outcomes

If you were to flip a coin 20 times, what is the probability you would get at least 13 heads?

• .9423

• .1316

• .0577

• .0739

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

• Number of trials

• Number of Successes

• Probability of Successes

• Probability of Failures

According to a recent survey, 81 percent of adults in a certain state have graduated from high school. If 15 adults from the state are selected at random, what is the probability that 5 of them have not graduated from high school?

Circuit boards are assembled by selecting 4 computer chips at random from a large batch of chips. In this batch of chips, 90 percent of the chips are acceptable. Let X denote the number of acceptable chips out of a sample of 4 chips from this batch. What is the least probable value of X?

• 0

• 1

• 2

• 3

• 4

Which of the following graphs represents a binomial distribution with n = 20 and p = 0.25?

• 
• 
• 
• 
• 

Is this a probability distribution?

• No, the sum of p(x) does not equal 1.

• Yes, all p(x) are between 0 and 1.

• No, all p(x) are not between 0 and 1.

• Yes, the sum p(x) is 1.

The probability of obtaining a head when a certain coin is flipped is about 0.65. Which of the following is closest to the probability that heads would be obtained 15 or fewer times when this coin is flipped 25 times?

• 0.14

• 0.37

• 0.39

• 0.60

• 0.65

Voters in a certain large county will have an opportunity to vote for or against a new environmental rule that would incentivize the return of certain used batteries to a county-certified recycling facility. The results of a previous poll found that 41 percent of registered voters in that county plan to vote for the environmental rule. Juwan, an engineer working at the recycling facility, randomly selected 15 registered voters and asked whether they plan to vote for the rule. Assuming that 41 percent represents the actual percent of registered voters in the county who plan to vote for the environmental rule, which of the following is closest to the probability that at most 2 of the registered voters Juwan selected plan to vote for the environmental rule?

• 0.0042

• 0.0185

• 0.0227

• 0.9773

• 0.9958

A fair coin is flipped 10 times and the number of heads is counted. This procedure of 10 coin flips is repeated 100 times and the results are placed in a frequency table. Which of the frequency tables below is most likely to contain the results from these 100 trials?

• 
• 
• 
• 
•