A store places a small sensor on each item of merchandise to combat shoplifting. When an item is legitimately purchased, the sales clerk is supposed to remove the sensor to prevent an alarm from sounding as the customer exits the store. In an actual survey of 250 consumers, 10 said that if they were to set off an alarm because store personnel (mistakenly) failed to deactivate merchandise leaving the store, they would never shop at that store again. A company marketing the alarm system claimed that no more than 5% of all consumers would say that they would never shop at that store again if they were subjected to a false alarm.Assuming that the company's claim is valid, calculate the probability that at least 10 of the 250 randomly selected consumers would say that they would never shop at that store again if they were subjected to a false alarm. Show your work; identify the distribution along with parameters.