A new car is being market tested by consumers It is estimate

A new car is being market tested by consumers. It is estimated that 60% of consumers will like the new car. A sample of 96 consumers test drove the car..What is the probability that fewer than 70.4% of consumers will indicate they like the new car?

Solution

X~Bin(96,p)

p is estimated as 0.6

here p is the probability that a person likes the car

now 70.4% of 96 persons = 67.584

hence we have to find

P(X<68)=0.989