A certain highly mutable gene has a 1.0% chance of mutating each time a cell divides. Suppose that there are 15 cell divisions between each pair of generations. What is the chance that the gene mutates in one generation, during the course of those 15 cell divisions? If there were 100 such genes, about how many would have mutated in one generation?

Trisomy 18 (T18) is a rare genetic disorder that severely disrupts a baby's development prior to birth. Many die before birth and most die before their first birthday. T18 occurs in only 1 in 2500 pregnancies in the U.S. A genetic test on the mother's blood can be done to test for T18 in her baby. The overall probability of a positive test result is 0.010384. The probability of a positive test result for a baby with T18 is 0.97. The probability of a negative test result for a baby without T18 is 0.99. A mother's blood tests positive for T18. What is the probability that her baby has T18? (A) 0.0004 (B) 0.0374 (C) 0.4902 (D) 0.97 (E) 0.99

An accident victim will die unless he receives in the next 10 minutes an amount of type A Rh+ blood, which can be supplied by a single donor. It requires 2 minutes to “type” a prospective donor’s blood and 2 minutes to complete the transfer of blood. A large number of untyped donors are available and 40% of them have type A Rh+ blood. What is the probability that the accident victim will be saved if there is only one blood-typing kit available?

Suppose that 65% of all adults regularly consume coffee, 60% regularly consume carbonated soda, and 75% regularly consume at least one of these two products. What is the probability that a randomly selected adult doesn't regularly consume at least one of these two products?

In a certain population of people, 72% of the people have brown eyes and 28% of the people have blue eyes. What is the probability that two randomly selected people (not related to each other) from this population will have eyes of the same color? (Answer correctly to 3 decimal places.)

For the same class you were asked to do some research on transfers bt two-year and four-year colleges. According to federal data on the year-round student population, in 2015-16 49% of all students completing a degree at a four-year college had been enrolled in a two-year colleges in the previous 10 years. If you take a random sample of 10 of these graduates, what is the probability that exactly 4 of them will have been enrolled in a two-year college in the last 10 years?

Q. 1 It is estimated that 80% of emails are spam emails. Some software has been applied to filter these spam emails before they reach our inbox. A certain brand of software claims that it can detect 99% of spam emails, and the probability for a false positive (a non-spam email detected as spam) is 5%. Now if an email is detected as spam, then what is the probability that it is in fact a non-spam email? event A: email is spam; event B: email is detected as spam. Assume that

Suppose that if person with tuberculosis is given a TB screening, the probability that his or her condition will be detected is 0.90. If a person without tuberculosis is given a TB screening , the probability that he or she will be diagnosed incorrectly as having tuberculosis is 0.3. Suppose, further, that 11% of the adult residents of a certain city have tuberculosis. If one of these adults is diagnosed as having tuberculosis based on the screening, what is the probability that he or she actually has tuberculosis?

A certain typing agency employs two typists. The average number of errors per article is 1.4 when typed by the first typist and 2.4 when typed by the second. If your article is equally likely to be typed by either typist, find the probability that it will have no errors.

A certain typing agency employs two typists. The average number of errors per article is 1.21.2 when typed by the first typist and 55 when typed by the second. If your article is equally likely to be typed by either typist, find the probability that it will have no errors.