Based on past surveys over several years, an airline believes that the proportion of customers who are satisfied with the airline's service is=0.4. The airline decides to select a random sample of 400 recent passengers and ask them if they are satisfied with the airline's service. Assume that the responses of the passengers are independent of one another, and that a Binomial model is appropriate. What is the probability that more than 146 surveyed passengers are satisfied? Please use the normal approximation to Binomial distribution to solve it.