Q. 2A fair die is rolled one time. Let A be the event that an odd number is rolled. Describe the event Ac.
What will be an ideal response?
Q. 3An insurance company looks at many factors when determining how much insurance will cost for a home. Two of the factors are listed below:
A: The home's roof is less than 10 years old
B: The home has a security system
In the words of the problem, define the event .
A) The home is less than 10 years old B) The home has a security system
C) The home is not less than 10 years old D) The home does not have a security system
Q. 4A study was designed to investigate the effects of two variables (1 ) a student's level of mathematical anxiety and (2 ) teaching method on a student's achievement in a mathematics course.
Students who had a low level of mathematical anxiety were taught using the traditional expository method. These students obtained a mean score of 400 with a standard deviation of 40 on a standardized test. Assuming no information concerning the shape of the distribution is known, what percentage of the students scored between 320 and 480?
A) approximately 68 B) at least 89
C) approximately 95 D) at least 75
Q. 5A state energy agency mailed questionnaires on energy conservation to 1,000 homeowners in the state capital. Five hundred questionnaires were returned. Suppose an experiment consists of randomly selecting one of the returned questionnaires.
Consider the events:
A: The home is constructed of brick
B: The home is more than 30 years old
In terms of A and B, describe a home that is constructed of brick and is less than or equal to 30 years old.
A) (A B)c B) A B C) A B D) A Bc
Q. 6By law, a box of cereal labeled as containing 20 ounces must contain at least 20 ounces of cereal.
The machine filling the boxes produces a distribution of fill weights with a mean equal to the setting on the machine and with a standard deviation equal to 0.04 ounce. To ensure that most of the boxes contain at least 20 ounces, the machine is set so that the mean fill per box is 20.12 ounces. Assuming nothing is known about the shape of the distribution, what can be said about the proportion of cereal boxes that contain less than 20 ounces.
A) The proportion is less than 2.5. B) The proportion is at least 89.
C) The proportion is at most 5.5. D) The proportion is at most 11.
Q. 7Fill in the blank. The __________ of an event A is the event that A does not occur.
A) intersection B) complement C) union D) Venn diagram
Q. 8Two chips are drawn at random and without replacement from a bag containing two blue chips and two red chips. Events A and B are defined as follows.
A: Both chips are red
B: At least one of the chips is blue
True or False: A B = B.
A) True B) False
Q. 9By law, a box of cereal labeled as containing 32 ounces must contain at least 32 ounces of cereal.
The machine filling the boxes produces a distribution of fill weights that is mound-shaped and symmetric, with a mean equal to the setting on the machine and with a standard deviation equal to 0.04 ounce. To ensure that most of the boxes contain at least 32 ounces, the machine is set so that the mean fill per box is 32.12 ounces. What percentage of the boxes do, in fact, contain at least 32 ounces?
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