3. [20 points] Ever since government mandates were removed, the number of people wearing masks on flights has dropped sharply. A survey conducted in January 2022 indicated that about 20% of people are wearing masks on flights. Flight attendants are happy they don't have to enforce masking rules. but worry that they are now more at risk of getting COVID, specially on long flights. A flight from Washington Dulles to Los Angeles typically has 250 passengers. a. What is the expected number of passengers wearing masks? _ Page 2 b. What is the standard deviation of the number of passengers wearing masks c. what is the probability that more than Do passengers are wearing masks? d. On a recent Washington to London flight with 300 passengers, it is found that 100 passengers are wearing masks. Would you conclude that the percentage of passengers wearing masks on flights has changed from the 20% estimate from January 2022? Justify briefly