Question 1 of 251.0 PointsGender and State are examples of which type of data? A.Categorical data B.Continuous data C.Discrete data D.Ordinal dataReset SelectionPart 2 of 9 -Question 2 of 251.0 PointsIf two events are mutually exclusive, what is the probability that both occur at the same time? A.1.00 B.Cannot be determined from the information given. C.0.50 D.0.00Reset SelectionQuestion 3 of 251.0 PointsIf the probability that it will rain tomorrow is 0.38, then the probability that it will not rain tomorrow is: A.0.38 B.-0.38 C.0.62 D.1.38Reset SelectionPart 3 of 9 -Question 4 of 251.0 PointsFind the variance of the following probability distribution. XP(X)10.1020.3530.1040.1550.30 A.1.44 B.2.06 C.1.76 D.1.2Reset SelectionQuestion 5 of 251.0 PointsThe 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.x012345P (X=x)0.200.250.200.150.100.10What is the variance of X? A.2.50 B.2.34 C.4.32 D.3.42Reset SelectionQuestion 6 of 251.0 PointsThe probability distribution associated with the number of cartoons watched by Mrs. Kelly's first grade class on Saturday morning is shown below. x P(x)00.1510.2020.3030.1040.2050.05Find the standard deviation for the probability distribution above. A.1.46 B.2.25 C.1.89 D.1.18Reset SelectionPart 4 of 9 -Question 7 of 251.0 PointsThe standard deviation of f$ar{X},f$ is usually called the A.randomized standard error B.standard error of the population C.standard error of the mean D.standard error of the sampleReset SelectionQuestion 8 of 251.0 PointsIf Z is a standard normal random variable, the area between z = 0.0 and z =1.30 is 0.4032, while the area between z = 0.0 and z = 1.50 is 0.4332. What is the area between z = -1.30 and z = 1.50? A.0.0668 B.0.0968 C.0.8364 D.0.0300Reset SelectionQuestion 9 of 251.0 PointsGiven that Z is a standard normal random variable, P(-1.0 < Z < 1.5) is A.0.9332 B.0.7745 C.0.0919 D.0.8413Reset SelectionQuestion 10 of 251.0 PointsIf Z is a standard normal random variable, then the value z for which P(-z < Z < z) equals 0.8764 is A.3.08 B.0.3764 C.1.16 D.1.54Reset SelectionQuestion 11 of 251.0 PointsThe mean of a probability distribution is a: A.measure of central location B.measure of variability of the distribution C.measure of skewness of the distribution D.measure of relative likelihoodReset SelectionQuestion 12 of 251.0 PointsThe standard deviation of a probability distribution is a: A.measure of variability of the distribution B.measure of central location C.measure of skewness of the distribution D.measure of relative likelihoodReset SelectionPart 5 of 9 -Question 13 of 251.0 PointsAccepted 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 represent the number of children in a sample of 10 families from Chicago: 4, 2, 1, 1, 5, 3, 0, 1, 0, and 2. Part 6 of 9 -Question 14 of 251.0 PointsAccepted 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. In February 2002 the Argentine peso lost 70% of its value compared to the United States dollar. This devaluation drastically raised the price of imported products. According to a survey conducted by AC Nielsen in April 2002, 68% of the consumers in Argentina were buying fewer products than before the devaluation, 24% were buying the same number of products, and 8% were buying more products. Furthermore, in a trend toward purchasing less-expensive brands, 88% indicated that they had changed the brands they purchased. Suppose the following complete set of results were reported. Use the following data to answer this question. Number of Products PurchasedBrands PurchasedFewerSameMoreTotalSame10142448Changed262828352Total2729632400Question 15 of 251.0 PointsAccepted 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 annual returns, in percentages, on stocks A and B for three possible states of the economy are given in the table below.Economy StateProbabilityStockAStockBGood0.54020Average0.32040Bad0.2108Part 7 of 9 -Question 16 of 251.0 PointsAccepted 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. Question 17 of 251.0 PointsAccepted 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. Part 8 of 9 -Question 18 of 251.0 PointsAccepted 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. Suppose that the average weekly earnings for employees in general automotive repair shops is $450, and that the standard deviation for the weekly earnings for such employees is$50. A sample of 100 such employees is selected at random. Question 19 of 251.0 PointsAccepted 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. Suppose that the average weekly earnings for employees in general automotive repair shops is $450, and that the standard deviation for the weekly earnings for such employees is$50. A sample of 100 such employees is selected at random. Find the probability that the mean of the sample is greater than $460. Place your answer, rounded to 4 decimal places, in the blank. For example, 0.2345 would be a legitimate answer. Question 20 of 251.0 PointsAccepted 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. Question 21 of 251.0 PointsAccepted 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. A popular retail store knows that the purchase amounts by its customers is a random variable that follows a normal distribution with a mean of$30 and a standard deviation of $9. What are the two dollar amounts, equidistant from the mean of$30, such that 90% of all customer purchases are between these values? Place your answers in the blanks provided. Do not include a dollar sign. For example, 14.25 would be a legitimate entry. Question 22 of 251.0 PointsAccepted 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. A set of final exam scores in an organic chemistry course was found to be normally distributed, with a mean of 73 and a standard deviation of 8. What is the probability of getting a score of 68 or less on this exam? Place your answer, rounded to 4 decimal places in the blank. For example, 0.3456 would be a legitimate entry. Question 23 of 251.0 PointsAccepted 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. Suppose that the average weekly earnings for employees in general automotive repair shops is $450, and that the standard deviation for the weekly earnings for such employees is$50. A sample of 100 such employees is selected at random. Part 9 of 9 -Question 24 of 251.0 PointsUsing the standard normal curve, the Z- score representing the 75th percentile is approximately 0.674. True FalseReset SelectionQuestion 25 of 251.0 PointsIf Z is a standard normal variable, then P(Z = 1) = 0.3413. True FalseReset Selection