AP Statistics Chapter 6.3

what is the binomial random variable

• the count of successes in a binomial setting

• the number of trials that it takes to get a success in a geometric setting

• takes numerical values that describe the outcomes of some chance process

• the average squared deviation of the values of the variable from their mean.

what is the variance of a random variable

• the count of successes in a binomial setting

• arises when we perform several independent trials of the same chance process and record the number of times that a particular outcome occurs.

• the average squared deviation of the values of the variable from their mean.

• the number of trials it takes to get a success in a geometric setting

The number of ways of arranging k successes among n observations is given by the....

• binomial probability

• binomial distribution

• binomial coefficient

• binomial random variable

the number of trials that it takes to get a success in a geometric setting is the …...

• geometric random variable

• geometric distribution

• geometric setting

• geometric variance

the _______ of a random variable gives its possible values and their probabilities

• random variable

• probability distribution

• standard deviation

• variance

the weight of tomatoes chosen at random from a bin at the farmers market follows a normal distribution with mean of 10 ounces and standard deviation of 1 ounce. suppose we pick four tomatoes at random from the bin and find their total weight. the random variable T is?

• normal, with mean ten ounces and standard deviations one ounce.

• normal with mean forty ounces and standard deviation two ounces

• normal with mean forty ounces and standard deviation four ounces.

• binomial with mean forty ounces and standard deviation four ounces.

Which of the following random variables is geometric?

• the number of times I have to roll a die to get two sixes.

• the number of cards I deal from a well shuffled deck of fifty two cards until I get a heart

• the number of digits I read in a randomly selected row of the random digits table until I find a seven.

• the number of sevens in a row of forty random digits.

Suppose a student is randomly selected from your school. Which of the following pairs of random variables are most likely independent

• x=student's height; y = students weight

• x = student's iq; y = student's gpa

• x = students psat math score ; y = students psat verbal score

• x = average amount of homework the student does per night; students height.

a certain vending machine offers 20 ounce bottles of soda for 1.50. the number of bottles x bought from the machine on any day is a random variable with mean 50 and standard deviation 15. let the random variable y equal the total revenue from this machine on a given day. assume that the machine works properly and that no sodas are stolen from the machine. what are the mean and standard deviation of y?

• mean = 1.50, sd = 22.50

• mean = 1.50, sd = 33.75

• mean = 75, sd = 18.37

• mean = 75, sd = 22.50

17 people have been exposed in a particular disease. each one independently has a forty percent chance of contracting the disease. a hospital has the capacity to handle ten cases of the disease. what is the probability that the hospitals capacity will be exceeded.

• 0.011

• 0.035

• 0.092

• 0.965