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Chapter 5: Q 5.5. (page 200)
An experiment has 20 possible outcomes, all equally likely. An event can occur in five ways. The probability that the event occurs is .
The probability that the event occurs is.
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Explain the significance of binomial coefficients with respect to Bernoulli trials.
ASU Enrollment Summary. According to the Arizona State University Enrollment Summary, a frequency distribution for the number of undergraduate students attending Arizona State University ( ASU ) in the Fall 2012 semester, by class level, is as shown in the following table. Here , 1 = freshman , 2 = sophomore , 3 = junior , and 4 = senior.
| Class level | 1 | 2 | 3 | 4 |
| No. of students | 9,652 | 11,115 | 17,302 | 21,114 |
Let X denote the class level of a randomly selected ASU undergraduate.
(a) What are the possible values of the random variable X?
(b) Use random-variable notation to represent the event that the student selected is a junior ( class - level 3 ).
(c) Determine P ( X = 3 ), and interpret your answer in terms of percentages.
(d) Determine the probability distribution of the random variable X.
(e) Construct a probability histogram for the random variable X.
A variable y of a finite population has the following frequency distribution:
| y | 1 | 2 | 3 | 4 |
| f | 2 | 2 | 10 | 6 |
Suppose a member is selected at random from the population and let Y denote the value of the variable y for the member obtained.
a. Determine the probability distribution of the random variable Y.
b. Use random-variable notation to describe the events that Y takes on the value 3, a value less than 3, and a value of at least 3.
c. Find P(Y = 3), P(Y <3), and P(Y 鈮� 3). Interpret your results.
d. Construct a probability histogram for the random variable Y.
Interpret each of the following probability statements, using the frequentist interpretation of probability.
(a). The probability is 0.487 that a newborn baby will be a girl.
(b). The probability of a single ticket winning a prize in the Powerball lottery is 0.031.
Age and senators. According to the congressional directory, the official directory of the U.S Congress prepared by the Joint Committee on printing the age distribution for senators in the U.S Congress as of fall 2013, is as shown in the following table.
Suppose that a U.S senator is selected at random. let
A = event the senator is under 50,
B = event the senator is in his or her 50s,
C = event the senator is in his or her 60s, and
S = event the senator is under 70.
Part (a) Use the table and the f/N rule to find P(S).
Part (b) Express event S in term of event A,B and C
Part (c) Determine P(A), P(B) and P(C).
Part(d) Compute P(S), Using the special addition rule and your answers from part (b) and part(c) Compare your answer with in parts (a)
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