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 0.2 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 0.1 0.1 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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