Binomial and Geometric Distribution

Using Inequality Notation

100

What values of the discrete variable X would be included in x< 4?

0, 1, 2, 3

200

P(x > 3) is equivalent to 1 - P(x < or = 3) when x represents a discrete variable. What is P(x > or = 7) equivalent to when x represents a discrete variable?

1 - P(x < 6)

300

Suppose the probability of failing a lie detector test is 30%. In a 12-man jury, what is the probability that more than 3 people will fail the lie detector test?

.507

400

According to government data, 20% of employed women have never been married. 25 employed women are selected at random. Find the probability that the number of employed women who have never been married is greater than 3.

.766

500

According to government data, 20% of employed women have never been married. 25 employed women are selected at random. Find the probability that the number of employed women who have never been married is within 1 standard deviation of its mean.

.793

Binomial Distribution

100

The probability that a 3 year old battery works is .7 and a graphing calculator requires 4 batteries to work. Mrs. Owens finds 4 batteries that are 3 years old in the back of her closet. What is the probability that she puts them in a calculator and it works?

.2401

200

The probability that a telemarketing employee reaches a live person is .11. Suppose they call 20 people in a night. What is the probability that they reach at least 5 people?

What is .061

300

(n choose 5) p^5 (.71)^8 What is n? What is P? What is mean of the distributi

n = 13 p = .29 Mean = 3.77

400

It is estimated that 10% of drivers turn on their blinker before changing lanes. In a random sample of 4 drivers, what is the probability that at least one person uses his or her blinker when changing lanes?

.3439

500

The probability of getting 6 or 7 heads flips out of 10 total flips

What is geometpdf(.5,6) + geometpdf(.5,7) = .023

Geometric Distribution

100

Jeremy takes a guesses on a multiple choice test in Chinese. Each question has options a, b, c, d, e, and f. What is the expected number of questions he has to answer before he gets one correct?

6

200

On Jeremy's multiple choice test, what is the probability that the first time he gets one right is on the 4th question?

.096

300

A basketball player has a history of making his free throws 45% of the time. What is the probability that he will make his first free throw on his 5th try in a game?

.022

400

A quarterback completes 47% of his passes. Whiteboard a probability distribution table (out of n = 5) for the number of passes attempted before the quarterback has a completion

n = 1 2 3 4 5 p = .47 .2491 .1320 .07 .037

500

The probability of a coin flipper receiving their first heads flip after their 20th flip.

What is 1-geometcdf(.5, 20) = 0.00000095

Normal Approximation

100

Suppose X has a binomial distribution with n = 500 and p = .3. Find the mean and standard deviation of the distribution.

Mean =150 Standard Deviation = 10.25

200

The probability that a person who is lady who is at least 40 years old colors her hair is .64. Suppose you survey 1000 women. What is the probability that more than 400 DO NOT color their hair.

.0038

300

In the 1997 Center for Disease Control, 20% of teenagers carry a weapon of some sort. Suppose that 300 teenagers walked into the drivers license facility on a given day. What is the probability that more than 50 of them carried some sort of weapon?

.9265

400

Explain why the normal approximation can not be used when n = 100 p = .9

nq < 30

500

If 99.7% of trials lie between 15 and 45, what is the mean and standard deviation?

mu = 30 sigma = 5

Random

100

How old is Mr. Zenner?

25

200

What is the best pizza topping?

Pepperoni

300

How many planets in our solar system have rings?

4 (Jupiter, Saturn, Neptune, Uranus)

400

How tall is the empire state building?

1452 feet

500

How many moons are in our solar system?

Appx ~ 200 moons.