# Hcs/438 (Statistical Applications ) Quiz #2

**Topics:**Random variable, Randomness, Probability theory

**Pages:**5 (737 words)

**Published:**March 5, 2012

HCS/438 (Statistical Applications )

Quiz#2 - 2-25-2012 - Esmaail Nikjeh

Name: ________________________

True or False Questions; Please select the correct answer. (1 points each)

TF1.The probability that X takes on a value that is between 3 and inclusive of 4 can be written as P(3 < X ( 4).

TF2.P(X > x ) + P(X < x) + P(X = x) = 1.

TF3.If P(X > x) = 0.34 and P(X = x) = 0.10, then P(X ( x) = 0.56.

TF 4- Using the classical viewpoint, the probability of an event happening is defined as the number of favorable outcomes divided by the total number of possible outcomes.

TF 5- The probability assigned to an event that is certain not to occur is 1.0.

Multiple Choices

6- When collecting data, the set of all possible outcomes or values that could occur is called a.an experiment.

b.the sample space.

c.the random variable.

d.an event.

7- A store manager found that 20 of his 50 ties in stock are striped. What is the probability that a random selection of a tie to show a customer will be striped? a.0

b.0.2

c.0.4

d.0.5

8- The minimum value that any probability can be is _________ and the maximum value is _________. a.0, 1

b.–1, 0

c.–1, 1

d.0, (

Use the following information for questions 9 – 12. Please show your works. Suppose we select 200 adults in a certain community that 44 of them are obese and 31 of them suffer from diabetes. If 25 of them are both obese and suffering from diabetes:

9.What is the probability that an adult is obese?

a.44%

b.11%

c.22%

d.33%

10.What is the probability that an adult is diabetes?

a.31%

b.16.5%

b. 15.6%

d.15.5%

11.what is the probability that a randomly chosen adult in this community is obese or suffers from diabetes (or both)?

a.37.5%

b.25%

c.12.5%

d.15.5%

12.What is the probability that an adult is healthy?

a.10%

b.20%

c.40%

d.50%

e. 0.0% (There is no healthy adult)

Use the following information to answer questions 13 – 15. A local newspaper recently conducted a survey of 400 households in the community to determine the number of daily newspapers that were being delivered to the residence. Results were used to obtain the following probability distribution:

|x |0 |1 |2 |3 |4 or more | |P(x) |0.15 |0.35 |0.35 |0.10 |0.05 |

13.What is the probability that a household receives at most 2 daily papers? a.0.15

b.0.35

c.0.50

d.0.85

14.What is the probability that a household receives 3 or more daily papers? a.0.10

b.0.15

c.0.25

d.0.35

15.What is the probability that a household receives at least 2 daily papers? a.0.15

b.0.20

c.0.35

d.0.50

Use the following information to answer questions 16 – 20. Use the data in the following table, which summarizes blood groups and Rh type for 100 typical people. These values may vary in different regions according to the ethnicity of the population.

| |Group | | | O |A |B |AB | |Type |Rh+ |39 |35 |8 |4 | | |Rh- |6 |5 |2 |1 |

16- If one person is randomly selected, find the probability of getting someone who is not group A.

a.0.05

b.0.40

c.0.35

d.0.60

17- If one person is randomly selected,...

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