Author: Anonymous

A mammography test has [x]% sensitivity, that is, the test will correctly identify breast cancer [x]% of the time, and [y]% specificity, that is, the test will be negative for someone who does not have breast cancer [y]% of the time. Suppose that 1% of women of age 40 have breast cancer. Denote by N the event of no breast cancer, by B the event of breast cancer, and by + the event of the test being positive. Calculate the probability P(B | +). Round your answer to 3 digits after the decimal point.

According to a police report there were [z] traffic accidents last year in a certain town. Of these [z] accidents, [w] accidents involved speeding, [x] accidents involved alcohol, and [y] involved both risk factors. Denote by A the event that an accident involves alcohol and denote by SP the event that an accident involves speeding. Based on these numbers estimate the probability that the accident does not involve speeding. Round your answer to 3 digits after the decimal point.

Suppose that X has the following distribution. X -1 0 4 p(x) 0.3 0.2 0.5 The expected value of X is 1.7. Find the variance of X.

A mammography test has [x]% sensitivity, that is, the test will correctly identify breast cancer [x]% of the time, and [y]% specificity, that is, the test will be negative for someone who does not have breast cancer [y]% of the time. Suppose that 1% of women of age 40 have breast cancer. Denote by N the event of no breast cancer, by B the event of breast cancer, and by + the event of the test being positive. Calculate the probability P(B | +). Round your answer to 3 digits after the decimal point.

According to a police report there were [z] traffic accidents last year in a certain town. Of these [z] accidents, [w] accidents involved speeding, [x] accidents involved alcohol, and [y] involved both risk factors. Denote by A the event that an accident involves alcohol and denote by SP the event that an accident involves speeding. Based on these numbers estimate the probability P(A and SP). Round your answer to 3 digits after the decimal point.

Suppose that X has the following distribution. X -1 0 4 p(x) 0.2 0.3 0.5 The expected value of X is 1.8. Find the variance of X.

Suppose that X is a continuous random variable whose probability density function is given by the graph below. Find the probability P(X = 0.5).

According to a police report there were [z] traffic accidents last year in a certain town. Of these [z] accidents, [w] accidents involved speeding, [x] accidents involved alcohol, and [y] involved both risk factors. Denote by A the event that an accident involves alcohol and denote by SP the event that an accident involves speeding. Based on these numbers estimate the probability that the accident does not involve speeding. Round your answer to 3 digits after the decimal point.

According to a police report there were [z] traffic accidents last year in a certain town. Of these [z] accidents, [w] accidents involved speeding, [x] accidents involved alcohol, and [y] involved both risk factors. Denote by A the event that an accident involves alcohol and denote by SP the event that an accident involves speeding. Based on these numbers estimate the probability P(A or SP). Round your answer to 3 digits after the decimal point.

What is the maximum number of d orbitals that are possible?