Binomial Geometric Poisson Distributions

Out of the whole population in the US, 13% are left-handed. In a sample of 30 randomly selected people, what is the probability that the 7 of them are left-handed?

• .0519

• .966

• .034

• 0.00229

Is this a 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

• No, the probability changes from trial to trial.

Bob is taking a 100 question test.  They have a 90% probability of any given question correct.  Which is the correct formula to find the probability that they will answer exactly 70 questions correctly?

• ₁₀₀C₇₀ (0.90)⁷⁰(0.10)³⁰

• ₁₀₀C₇₀ (0.10)⁷⁰(0.90)³⁰

• ₁₀₀C₁ (0.90)¹(0.18)⁹⁹

• ₉₉C₇₀ (0.10)³⁰(0.90)⁷⁰

Suppose the probability of a student answering a multiple choice question correctly is 0.728. What is the expected number of questions it will take for the student to get a question correct?

• 0.78

• 0.95

• 1.21

• 1.37

• 1.58

The McDonald's Monopoly game has a 1 in 4 chance of winning.  What is the probability your first win is on your third attempt?

• .1406

• .0156

• .2500

• .0352

Given 13% of people are left-handed.  What is the probability the first left-handed person will be the sixth person polled?  

• .0564

• .1116

• .0001

• .0648

The probability that a salesman will make a sale on any given call is .23.  Find the probability that his first sale will occur on his fourth or fifth call.

• .1050

• .0809

• .1859

• .8141

According to the BMV, about 93% of all people who take the driving test pass.  What is the probability it will take someone more than two times to pass the test?

• .9300

• .0651

• .9951

• .0049

The mean number of accidents per month at a certain intersection is 3.  What is the probability that in any given month exactly 4 accidents will occur at this intersection?

• .0081

• .1680

• .6721

• .7500

There is an average of 3 road construction projects that take place at any one time in a city.  Find the probability that exactly 5 road construction projects are currently taking place.

• .6000

• .0112

• .1404

• .1008