# Question: Over time you have many conversations with a friend about

Over time, you have many conversations with a friend about your favorite actress, favorite musician, favorite book, favorite TV show, and so forth for 100 separate topics. On any given topic, there’s only a 0.02 probability that you agree. If you did agree on a topic, you would consider it to be coincidental.

a. If whether you agree on any two different topics are independent events, find the probability that you and your friend never have a coincidence on these 100 topics.

b. Find the probability that you have a coincidence on at least one topic.

a. If whether you agree on any two different topics are independent events, find the probability that you and your friend never have a coincidence on these 100 topics.

b. Find the probability that you have a coincidence on at least one topic.

## Answer to relevant Questions

A roulette wheel in Monte Carlo has 18 even-numbered slots, 18 odd-numbered slots, a slot numbered zero, and a double zero slot. On August 18, 1913, it came up even 26 times in a row. 10 As more and more evens occurred, the ...For genetic reasons, color blindness is more common in men than women: 5 in 100 men and 25 in 10,000 women suffer from color blindness. a. Define events, and identify in words these proportions as conditional probabilities. Short-term aberrations do not affect the long run. To illustrate, suppose that you flip a coin 10 times and you get 10 heads. Find the cumulative proportion of heads, including these first 10 flips, if (a) In the 100 flips ...For a normal distribution, use Table A, software, or a calculator to find the probability that an observation is a. At least 1 standard deviation above the mean. b. At least 1 standard deviation below the mean. c. In each ...The normal distribution for women’s height in North America has μ = 65 inches, σ = 3.5 inches. Most major airlines have height requirements for flight attendants (www.cabincrewjob.com). Although exceptions are made, the ...Post your question