Q20. A popular app, Zolo, has come on the market for streaming pet-friendly musicwhile others in the household are away from home for work or errands. Every month,the app attracts 70% of non-subscribing households; in other words, thesehouseholds decide to subscribe. Meanwhile, 30% of already subscribing householdsdecide to unsubscribe each month. Suppose 40% of households are currentsubscribers. Using the probabilities and states as described, what percentage ofhouseholds will likely be subscribers two months from now? (Enter numerical valueonly. Do not enter % sign. Round the percentage to 1 decimal place, or to the nearesttenth of a percent.)

A percentage is a number or ratio which is expressed in terms of a fraction of 100. In other words, a percentage is the value of the numerator of a fraction had denominator of which been 100. Probabilities are often referred as percentages. This is because, in both the cases we are interested regarding the measurement of a fraction among the entire population.By the problem we have, the fraction of households that are currently not subscribers is: 100-40%=60%. Therefore, after one month the fraction of new subscribers subscribe is: 60%×70%=42%. And after one month, the fraction of existing subscribers that unsubscribe is: 40%×30%=12%. Therefore, after one month the fraction of total subscribers is: 40+42-12%=70%. That means, after one month the fraction of households that are not subscribers is: 100-70%=30%. Therefore, after two months the fraction of new subscribers subscribe is: 30%×70%=21%. And after two month, the fraction of existing subscribers that unsubscribe is: 70%×30%=21%. Therefore, after two month the fraction of total subscribers is: 70+21-21%=70%. Answer: The value is 70.