39.9% of consumers believe that cash will be obsolete in the next 20 years. Assume that 6 consumers are randomly selected. Find the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 2 years.

Assume that when adults with smartphones are randomly​ selected, 57​% use them in meetings or classes. If 12 adult smartphone users are randomly​ selected, find the probability that fewer than 4 of them use their smartphones in meetings or classes.

Test whether patients getting Treatment 1 are more likely to survive, if 62 out of 82 getting Treatment 1 survive and 30 out of 66 getting Treatment 2 survive.

Assume that when adults with smartphones are randomly​ selected, 58​%use them in meetings or classes. If 13 adult smartphone users are randomly​ selected, find the probability that fewer than 4 of them use their smartphones in meetings or classes.

Assume that when adults with smartphones are randomly​ selected, 51 % use them in meetings or classes. If 12 adult smartphone users are randomly​ selected, find the probability that fewer than 5 of them use their smartphones in meetings or classes.

The proportion of eligible voters in the next election who will vote for the incumbent is assumed to be 53.5%. What is the probability that in a random sample of 440 voters, less than 48.3% say they will vote for the incumbent? Probability =

39.6% of consumers believe that cash will be obsolete in the next 20 years. Assume that 8 consumers are randomly selected. Find the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years

A manufacturer makes two models of an item: model I, which accounts for  75% of unit sales, and model II, which accounts for 25% of unit sales. Because of defects, the manufacturer has to replace (or exchange)  5% of its model I and 10% of its model II. If a model is selected at random, find the probability that it will be defective. Please round the final answer to  2 or 3 decimal places. P(detective)=

The state runs a lottery once every week in which six numbers are randomly selected from 17 without replacement. A player chooses six numbers before the state's sample is selected. The player wins if all 6 numbers match. If a player enters one lottery each week, what is the probability that he will win at least once in the next 200 weeks? Report answer to 3 decimal places.

Assume that when adults with smartphones are randomly​ selected,47​% use them in meetings or classes. If15 adult smartphone users are randomly​ selected, find the probability that fewer than5 of them use their smartphones in meetings or classes.