Table 1: Thermal vs. Voltage Failure Results (all 500 components) Voltage Failure No Voltage Failure Total Thermal Failure 50 85 135 No Thermal Failure 65 300 365 Total 115 385 500 Additionally the engineer reports: 70 components experienced a mechanical failure 40 of the components with mechanical failure also had a thermal failure 40 of the components with mechanical failure also had a voltage failure 10 components experienced all three failure types simultaneously Let A = thermal failure, B = voltage failure, C = mechanical failure What is the probability that a randomly selected component experiences exactly two types of failure?

Table 1: Thermal vs. Voltage Failure Results (all 500 components) Voltage Failure No Voltage Failure Total Thermal Failure 50 85 135 No Thermal Failure 65 300 365 Total 115 385 500 Additionally the engineer reports: 70 components experienced a mechanical failure 40 of the components with mechanical failure also had a thermal failure 40 of the components with mechanical failure also had a voltage failure 10 components experienced all three failure types simultaneously Let A = thermal failure, B = voltage failure, C = mechanical failure A screening test for thermal failures has 92% sensitivity(detects components that actually have thermal failures,92% of the time) and an 8% false positive rate. Using the Law of Total Probability, what is the overall probability that a randomly selected component tests positive on the screening test?

A complex electronic device contains three components, A, B, and C. The probabilities of failure for each component in any one year are: 0.1, 0.05, 0.1, respectively. If any one component fails, the device will fail. If the components fail independently of one another, what is the probability that the device will not fail in one year?

The heights of adult women are approximately normally distributed about a mean of 65 inches with a standard deviation of 2 inches. If Rachel is at the 99th percentile in height for adult women, then her height, in inches, is closest to

The histogram below displays the frequencies of waiting times, in minutes, for 175 patients in a dentist’s office. Which of the following could be the median of the waiting times, in minutes?

Table 1: Thermal vs. Voltage Failure Results (all 500 components) Voltage Failure No Voltage Failure Total Thermal Failure 50 85 135 No Thermal Failure 65 300 365 Total 115 385 500 Additionally the engineer reports: 70 components experienced a mechanical failure 40 of the components with mechanical failure also had a thermal failure 40 of the components with mechanical failure also had a voltage failure 10 components experienced all three failure types simultaneously Let A = thermal failure, B = voltage failure, C = mechanical failure What is the probability that a randomly selected component has all three types of failures.

A random sample of 374 United States pennies was collected, and the age of each penny was determined. According to the boxplot below, what is the approximate interquartile range (IQR) of the ages?

What type of car is more popular among college students, American or foreign? One hundred fifty-nine college students were randomly sampled and each was asked which type of car he or she prefers. A computer package was used to generate the printout below for the proportion of college students who prefer American automobiles. SAMPLE PROPORTION = .396226                SAMPLE SIZE = 159 Is the sample large enough for the interval to be valid?

Table 1: Thermal vs. Voltage Failure Results (all 500 components) Voltage Failure No Voltage Failure Total Thermal Failure 50 85 135 No Thermal Failure 65 300 365 Total 115 385 500 Additionally the engineer reports: 70 components experienced a mechanical failure 40 of the components with mechanical failure also had a thermal failure 40 of the components with mechanical failure also had a voltage failure 10 components experienced all three failure types simultaneously Let A = thermal failure, B = voltage failure, C = mechanical failure A component is selected and found to have no thermal failure. Using the table directly, what is the probability it also has no voltage failure?

A magazine has 1,620,000 subscribers, of whom 640,000 are women and 980,000 are men, Thirty percent of the women read the advertisements in the magazine and 50 percent of the men read the advertisements in the magazine. A random sample of 100 subscribers is selected. What is the expected number of subscribers in the sample who read the advertisements?