Random Probability and Binomial Distribution Assignment

Is the distribution below a probability distribution? Why or why not?

• Yes. All P(x) values are between 0 and 1, and ∑P(x) = 1
• No, not all P(x) values are between 0 and 1.
• No, ∑P(x) ≠ 1.

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?

• 0.962

• 0.132

• 0.831

• 0.250

The American Red Cross says that about 11% of the U.S. population has Type B blood. A blood drive is being held at your school.What is the probability that exactly 2 of the first 20 blood donors have Type B blood? 

• 0.316
• 0.282
• 0.001
• Not here

X ~ B(20, 0.5)

Find P(X = 7)

• 0.07

• 0.13

• 0.87

• 0.94

Find the mean of a binomial distribution with n=50 and p=0.4

• 50

• 4

• 20

• 10

Is this binomial experiment? Shuffle a deck of 52 cards. Turn over the top card. Do not replace the card. Repeat the process 5 times. Let X = the card you observe.

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

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

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

• .9423
• .1316
• .0577
• .0739

On a certain road 20% of the vehicles are trucks, 16% are buses and the remainder are cars. A random sample of 11 vehicles is taken. Find the probability that fewer than 3 are buses.

• 0.747

• 0.748

• 0.749

• 0.746

Find the mean (expected value) of the probability distribution.

• 85

• 83.2

• 87.1

• 84.4