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. Find the probability that the person retired after age 71. (Round your answer to four decimal places.)

Patients arriving at an outpatient clinic follow an exponential distribution at a rate of 1.5 patients per hour. What is the probability that a randomly chosen arrival to be between 10 and 15 minutes?

George is a big fan of music from the 1960s, and 22% of the songs on his iPod are Beatles songs. Suppose George sets his iPod to  "shuffle," so that it selects songs randomly (assume the shuffle function permits repetition of songs). During a long drive, George plays 50 randomly selected songs. Calculate the probability that more than 30% of the 50 randomly selected songs are Beatles songs. Round your answer to four decimal places.

An economist has observed that the time between recessions has an exponential distribution with mean 100 months. Find the probability that the time between recessions will be located in the interval (50, 200) months given that it exceeds 100 months. (Enter your answer to two decimal places. For "0.72", you would write 0.72). Do not round.

An earth-conscious clothing store offers a 15% discount if you bring in a bag full of old clothing to recycle the fabric. The probability that each bag brought in will contain fabric that can actually be recycled is 69%. In a given day, if there are 20 bags of fabric brought in to recycle, calculate the following: Round each answer to 4 decimal places. The probability that at least 9 bags will contain fabric that can be recycled

The probability P, as a percent, that a certain computer keyboard in a public library will last more than t years can be approximated by  P = 100e−1.2t. (a) What is the probability that the keyboard will last more than 2 years? Round to the nearest tenth. %(b) After how many years will the probability of keyboard failure be 79%? Round to the nearest tenth. yr

76% of all bald eagles survive their first year of life. Give your answers as decimals, not percents. If 30 bald eagles are randomly selected, find the probability that (a) At most 22 of them survive their first year of life. 0.73 (b) At least 23 of them survive their first year of life. (c) Exactly 21 of them survive their first year of life. X

The amount of time spouses shop for anniversary cards can be modeled by an exponential distribution with the average amount of time equal to 58 minutes. What is the probability that a randomly selected spouse spends no more than 20 minutes shopping for an anniversary card?

Use the exponential distribution to determine the probability of the failure of a vacuum tube component after 2000 hours given that they last on average for 3000 hours. Round your answer to four decimal places.

A four-letter word jumble is being formed from the letters in the word LOGARITHM. What is the probability is spells MATH?