A random variable x represents the number of cars owned by a family. Assume that x can take on five values: 0, 1, 2, 3, 4. A partial probability distribution is shown below: (2 pts each) x 0 1 2 3 4 p(x) 0.2 0.1 0.3 ? 0.1   Find the probability that a family owns three cars. Calculate the mean. Calculate the standard deviation. What is the probability that a family owns more than two cars?      What is the probability that a family owns at most 3 cars? Find the probability that a family owns between 1 and 3 cars, inclusive? Find the probability that a family owns no more than one car.

Two hundred single-sport athletes were cross-classified according to gender as follows: (12 pts; 2 pts each) Gender Swimmer (S) Runner (R) Cyclist (C) Total Male (M)  25 60 25 110 Female (F) 20 50 20 90 Total 45 110 45 200 An athlete is selected at random. a. What is the probability that the athlete is a runner? b. What is the probability that the athlete is a female runner? c. If the athlete is known to be a runner, what is the probability that the athlete is female? d. What is the probability that the athlete is male, a swimmer, or both? e. Are the events being a female and being a swimmer mutually exclusive? Justify your answer.  f. Are the single-sport type and gender of athletes independent? Justify your answer. 

Zoroastrianism was a popular and influential religion in ancient Persia.

Which of the following protocols transfers files without any authentication or security?

Cast iron and paper are both credited as having being invented and first used in the region of ________.

Qin rule was very progressive and completely eradicated the caste system in ancient China.

The organization where you are currently working as a network administrator has a class A network address 10.0.0.0 with 40 subnets. You want to add another 60 new subnets to the network. You would like to still allow for the largest possible number of host IDs per subnet. Which of the following subnet masks will you choose in this scenario?

Which of the following refers to any router outside an organization’s AS(autonomous system), such as a router on the Internet backbone?

You are working as a network analyzer for an ISP. A client has approached you to set up a network connection for a bank with offices around the state. The network needs to connect these offices with each other in order to gather transaction and account information into a central database. Which of the following connections will you provide in this scenario?

You have been working with an ISP (Internet service provider) as a network engineer. You have made multiple WAN (wide area network) connections over a period of time. Recently, you have received complaints from various clients about network failure, which is having an effect on their day-to-day business. This network failure is primarily caused by some bugs in a few of the network devices. In order to protect your clientele, you have decided to provide an additional information sheet that will specifically state the amount of time you will take to fix the issue. Which of the following will you use to calculate the average amount of time required to repair the faulty device?