It is recommended that women age 40 and older have a mammogram annually. A recent report indicated that if a woman has annual mammograms over a 10-year period, there is a 60% probability that there will be at least one false-positive result. (A false-positive mammogram test result is one that indicates the presence of cancer when, in fact, there is no cancer.) If the annual test results are independent, what is the probability that in any one year a mammogram will produce a false-positive result?

(Find the value of p such that the probability that a binomial random variable with n = 10 is greater than or equal to 1 is .60.)