1) Find the mean of the given probability distribution. 2) The random variable x is the number...
Question:
1) Find the mean of the given probability distribution.
2) The random variable x is the number of houses sold by a realtor in a single month at the Sendsom's Real Estate office. Its probability distribution is as follows.
3)
Find the standard deviation for the given probability distribution.
4) In a certain town, 70% of adults have a college degree. The accompanying table describes the probability distribution for the number of adults (among 4 randomly selected adults) who have a college degree. Find the standard deviation for the probability distribution.
5) In a game, you have a probability of winning and a probability of losing What is your expected value?
6) A contractor is considering a sale that promises a profit of $26,000 with a probability of 0.7 or a loss (due to bad weather, strikes, and such) of $8000 with a probability of 0.3. What is the expected profit?
7) A test consists of 10 true/false questions. To pass the test a student must answer at least 6 questions correctly. If a student guesses on each question, what is the probability that the student will pass the test?
8) A machine has 11 identical components which function independently. The probability that a component will fail is 0.2. The machine will stop working if more than three components fail. Find the probability that the machine will be working.
9) In a certain college, 33% of the physics majors belong to ethnic minorities. If 10 students are selected at random from the physics majors, that is the probability that no more than 6 belong to an ethnic minority?
10) Find the probability of at least 2 girls in 6 births. Assume that male and female births are equally likely and that the births are independent events.
Probability & Statistics for Engineers & Scientists
ISBN: 978-0131877115
8th edition
Authors: Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers, Keying Ye