# MATHEMATICS

.Correcly identify if the following random variables as either discrete or continous. A gallon of orange juice.
A) Continuous
B) Discrete

2.Correctly identify whether the following situations satisfy the conditions required to conduct a Binomial experiment. Rolling a die many times and observing whether the number obtained is even or odd
A) Binomial
B) NOT Binomial

3.From the table above, what is the probability that at least four college students in this sample abstain from drinking?
A) 0.9984
B) 0.0016
C) 1.00

4.The expected value of a random variable is the
A) largest value that will ever occur.
B) value that has the highest probability of occurring.
C) mean value over an infinite number of observations of the variable.
D) most common value over an infinite number of observations of the variable.

5.[Fill in the blank with just the probability value] The Southside Bowling Alley has collected data on the number of children that come to birthday parties held at the bowling alley. Let the random variable X = the number of children per party. The distribution for the random variable X is given above. What is the probability that at least 7 children will come to a party?

6.[Fill in the blank with just the probability value] In an experiment, a person guesses which one of three different cards a researcher has randomly picked (and hidden from the person who guesses). This is repeated four times, replacing the cards each time. Let X = number of correct guesses in the four tries. The probability distribution for X, assuming the person is just guessing, is partially provided above. What is the value of the missing probability P(X = 4)?

7.what characteristic of a random variable is described by the expected value?
A) Most likely value
B) Maximum value
C) Mean
D) Standard deviation

8.The probability distribution for X = number of heads in 4 tosses of a fair coin is given in the table above. What is the probability of getting at least one head?
A) 1/16
B) 5/16
C) 15/16
D) 4/16

9.For the given situation, decide if the random variable described is a discrete random variable or a continuous random variable. Random variable X = the number of letters in a word picked at random out of the dictionary.
A) Continuous random variable
B) Discrete random variable

10.Which one of these variables is a continuous random variable?
A) The number of correct guesses on a multiple choice test.
B) The time it takes a randomly selected student to complete an exam.
C) The number of tattoos a randomly selected person has.
D) The number of women taller than 68 inches in a random sample of 5 women.

11.Suppose that a student needs to buy 6 books for her history course. The number of books that she will be able to find used is a binomial random variable X with n = 6 and p = 0.30. In other words, the probability that she will find any given book used is 0.30, and is independent from one book to the next. What is the expected number of used books she will find, E(X)?
A) 6.0
B) 2.0
C) 3.0
D) 1.8

12.A medication produces side effects in each user with probability 0.10 and this is independent from one person to the next. If 50 people use the medication, the number who will experience side effects is
A) always 5.
B) a binomial random variable.
C) always 10%.
D) the value for which the probability distribution function (pdf) has the largest value.

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