One thing biologists do in order to determine how a cell or organism works is to find a mutant that does not do the activity. They go on a mutant hunt! Because it can take a long time, biologists speed up the process by using mutagens-often chemicals or radiation.
When mutation are introduced by mutagens, some cells are killed and some of the survivors are mutated.
If 1 million Neurospora spores are exposed to X-rays (2000r/min for 18 min), 84% of the spores are killed, and of the survivors, 259 evidence mutation. If P is the probability of a mutant spore, the probability of a nonmutant spore is q=1-p. so, in a large sample of n spores, the probability of no mutants is q to the n (qn). the probability of at least one being mutant is 1-qn.
a) what percentage of the surviving spores evidence mutation?
b) How many of the surviving spores would you need to check to be 90% certain of finding at least one mutant? (Hint: what is the value of q and use log10 to solve for n)