44 The operator of a pumping station has observed that demand for water during early afternoon hours has an approximately exponential distribution with mean 100 cfs (cubic feet per second). (a) Find the probability that the demand will exceed 150 cfs during the early afternoon on a randomly selected day. (Round your answer to four decimal place (b) What water-pumping capacity, in cubic feet per second, should the station maintain during early afternoons so that the probability that demand will excee capacity on a randomly selected day is only 0.04? (Round your answer to two decimal places.) cfs

Annual salaries in a large organization can be modeled as a lognormal variable with log (to the base 10) transformed mean of 4.4 and log (to the base 10) transformed standard deviation of 0.8. Find the salary that is exceeded by 65% of the employees.

15 The operator of a pumping station has observed that demand for water during early afternoon hours has an approximately exponential distribution with mean 100 cfs (cubic feet per second). (a) Find the probability that the demand will exceed 230 cfs during the early afternoon on a randomly selected day. (Round your answer to four decimal places.) (b) What water-pumping capacity, in cubic feet per second, should the station maintain during early afternoons so that the probability that demand will exceed capacity on a randomly selected day is only 0.02? (Round your answer to two decimal places.) cfs

The time (in years) after reaching age 60 that it takes an individual to retire is approximately exponentially distributed with a mean of about 7 years. Suppose we randomly pick one retired individual. We are interested in the time after age 60 to retirement. In a room of 1,000 people over age 81, how many do you expect will NOT have retired yet? (Round your answer to the nearest whole number.)

The lifetime, in years, of a type of small electric motor operating under adverse conditions is exponentially distributed with λ = 3.500. Whenever a motor fails, it is replaced with another of the same type. Find the probability that fewer than six motors fail within one year. (Round the final answer to three decimal places.)

The final question in the example is  If the percentage of 16- to 19-year-olds not in school and not graduates reaches 22.5% in a similar city, what is the predicted rate of violent crimes per 1000 residents? (Round your answer to two decimal places.)  violent crimes per 1000 residents

Suppose that the investigators want to control for whether a subject is over 60 years old in the logistic model from part (g) above. Let the variable Over60 = 1 if a subject is over 60 and 0 otherwise. They fit a logistic model with both Finasteride and Over60 as the predictors and obtain the following: Coefficients: Estimate (Intercept) -1.88067 Finasteride -0.34736 Over60 1.32285 Std. Error 0.05075 0.05355 0.05589 z value -37.059 -6.486 23.670 Pr(>|z|) < 2e-16 8.79e-11 < 2e-16 *** Estimated odds ratio associated with the coefficient for the Over60 predictor: *** *** What is the interpretation of the estimated odds ratio associated with the coefficient for the Over 60 predictor? The odds of developing cancer among those 60 years old and older are those aged under 60 years, adjusting for Finasteride treatment group, using a 5% significance level. times

Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 27% below the target pressure. Suppose the target tire pressure of a certain car is 32 psi (pounds per square inch.)   (a) At what psi will the TPMS trigger a warning for this car? (Round your answer to 2 decimal place.) when the tire pressure is (above or below) (blank) psi.     (b) Suppose tire pressure is a normally distributed random variable with a standard deviation equal to 3 psi. If the car’s average tire pressure is on target, what is the probability that the TPMS will trigger a warning? (Round your answer to 4 decimal places.)

I only need B,C, and D

In this example, what is the probability of a person who lives in a single home with a single family with multiple generations getting infected with Covid? Enter the answer to three digits after the decimal place.