MATHEMATICS

Part 4 of 9 –

 

Question 7 of 25 1.0 Points

Find the probability, P(Z < 0.17), using the standard normal distribution.

 

  A..8300
  B..4325
  C..5675
  D..0675

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Question 8 of 25 1.0 Points

The continuous distribution characterized by a symmetric, bell-shaped curve is the:

 

  A.normal distribution
  B.binomial distribution
  C.exponential distribution
  D.Poisson distribution

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Question 9 of 25 1.0 Points

Given that Z is a standard normal random variable, P(-1.0 < Z < 1.5) is

 

  A.0.9332
  B.0.7745
  C.0.8413
  D.0.0919

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Question 10 of 25 1.0 Points

The standard normal distribution has a mean of ___ and standard deviation of ___, respectively.

 

  A.0 and 0
  B.1 and 0
  C.1 and 1
  D.0 and 1

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Question 11 of 25 1.0 Points

One reason for standardizing random variables is to measure variables with:

 

  A.dissimilar means and similar standard deviations in like terms
  B.similar means and standard deviations on two scales
  C.different means and standard deviations on a single scale
  D.different means and standard deviations on a non-standard scale

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Question 12 of 25 1.0 Points

The mean of a probability distribution is a:

 

  A.measure of relative likelihood
  B.measure of central location
  C.measure of variability of the distribution
  D.measure of skewness of the distribution

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Part 5 of 9 –

 

Question 13 of 25 1.0 Points

 

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

The histogram below represents scores achieved by 250 job applicants on a personality profile.

What percentage of the job applicants scored below 60?  Place your answer in the blank, rounded to 2 decimal places. Do not use a percentage sign (%). For example, 44.44 would be a legitimate answer.

Part 6 of 9 –

 

Question 14 of 25 1.0 Points

 

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

Find the expected value of the following probability distribution.

X 1 2 3 4 5
P(X) 0.05 0.20 0.35 0.25 0.15

Round your answer to two decimal place as necessary. For example, 4.56 would be a legitimate entry.

Expected value =

Question 15 of 25 1.0 Points

 

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

The following data were obtained from a survey of college students. The variable X represents the number of non-assigned books read during the past six months.

x 0 1 2 3 4 5 6
P (X=x) 0.55 0.15 0.10 0.10 0.04 0.03 0.03

Find P(X > 0). Place your answer, rounded to two decimal places in the blank. For example, 0.56 would be a legitimate entry.

Part 7 of 9 –

 

Question 16 of 25 1.0 Points

 

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

Mothers Against Drunk Driving (MADD) is a very visible group whose main focus is to educate the public about the harm caused by drunk drivers. A study was recently done that emphasized the problem we all face with drinking and driving. Five hundred accidents that occurred on a Saturday night were analyzed. Two items noted were the number of vehicles involved and whether alcohol played a role in the accident. The numbers are shown below:

                                                        Number of Vehicles Involved

Did alcohol play a role? 1 2 3  
Yes 60 110 30 200
No 40 215 45 300
  100 325 75

 

What proportion of accidents involved alcohol and a single vehicle?

Place your answer, rounded to 2 decimal places, in the blank. For example, 0.23 is a le

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