Exam 4: Probability: the Study of Randomness

Suppose we roll a red die and a green die.Let R be the event that the number of spots showing on the red die is three or less,and G be the event that the number of spots showing on the green die is more than three.The events R and G are _________.

Ignoring twins and other multiple births,assume babies born at a hospital are independent events with the probability that a baby is a boy and the probability that a baby is a girl both equal to 0.5.What is the probability that the next three babies are of the same sex?

If S is a sample space,then P(S)= ___.

The number of songs on your computer is an example of a ______ random variable.

You decide you want to start a garden and grow tomatoes and cucumbers.After a month the yield of the tomatoes and cucumbers is quite low.You dig up the plants and start again in the same plot.However,the next month the yield of the tomatoes and cucumbers is still quite low.The yield of the tomatoes and cucumbers from month 1 to month 2 is considered __________.

In a probability model,all possible outcomes together must have a probability of 1.

Probability distributions can be visualized graphically using a _______ for continuous random variables.

A study was conducted in a large population of adults concerning eyeglasses for correcting reading vision.Based on an examination by a qualified professional,the individuals were judged as to whether or not they needed to wear glasses for reading.In addition it was determined whether or not they were currently using glasses for reading.The following table provides the proportions found in the study. Suppose two adults are selected from the population independently and at random.What is the probability that both were judged to need eyeglasses and neither was using them for reading?

Students in a basic statistics class are allowed to take as much time as needed on their final exam.The exact amount of time it takes each student to finish the final exam is an example of a _________.

A study was conducted in a large population of adults concerning eyeglasses for correcting reading vision.Based on an examination by a qualified professional,the individuals were judged as to whether or not they needed to wear glasses for reading.In addition it was determined whether or not they were currently using glasses for reading.The following table provides the proportions found in the study. What is the probability that a selected adult is judged to need eyeglasses but does not use them for reading?

If you have a fair die,what is the expected proportion of rolls that result in a number greater than 4?

Which of the following best describes what is meant by the probability of the outcome of a random phenomenon?

A density curve describes the probability distribution of a discrete random variable.