Lesson on Binomial Probability

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

• .9423
• .1316
• .0577
• .0739

If you were to flip a coin 20 times, what is the probability you would get either 10 or 11 heads?

• .8398
• .1602
• .3364
• .6636

You have decided to drop out of school and move to Vegas, where you will learn to count cards and get rich. If you draw 12 cards out of a deck (with replacement), what is the probability that you get at least 7 red cards?

• 0.39
• 0.61
• 0.19
• 0.81

You trick Miss Soldan into playing for the juniors in the Powder Puff football game. As a quarterback, she typically completes 3% of her passes. If she makes 25 passes in the game, what is the probability that she will complete at least 3?

• 0.04
• 0.96
• 0.01
• 0.99

You are a terrible driver. Whenever you drive, there is a 70% chance that you will run over a pedestrian. If you go for a drive 15 times, what is the probability that you will run over 7 or more pedestrians?

• 0.98
• 0.02
• 0.95
• 0.05

It has been estimated that about 30% of frozen chicken contain enough salmonella bacteria to cause illness if improperly cooked. A consumer purchases 12 frozen chickens. What is the probability that the consumer will have more than 6 contaminated chickens? 

• .961
• .118
• .882
• .039

The probability that a certain machine will produce a defective item is 1/4. If a random sample of 6 items is taken from the output of this machine, what is the probability that there will be 5 or more defectives in the sample?

• 19/4096
• 18/4096
• 4/4096
• 3/4096

Which of the following is NOT an assumption of the Binomial distribution?

• All trials must be independent.
• Each trial must be classified as a success or a failure.
• All trials are dependent on each other.
• The number of successes in the trials is counted.

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 10 times. Let X = the number of aces you observe.

• Yes
• No, the trials are not independent.
• No, there are more than 2 outcomes

When rolling a fair die 100 times, what is the probability of rolling a "4"exactly 25 times?

• 0.010
• 0.167
• 0.25
• 0.021