According to a candy company, packages of a certain candy contain 23% orange candies. Find the approximate probability that the random sample of 300 candies will contain 27% or more orange candies. O . . . Using a normal approximation, what is the probability that at least 27% of 300 randomly sampled candies will be orange? P (p20.27) = (Round to three decimal places as needed.) A survey of eating habits showed that approximately 5% of people in a certain city are vegans. Vegans do not eat meat, poultry, fish, seafood, eggs, or milk. A restaurant in the city expects 300 people on opening night, and the chef is deciding on the menu. Treat the patrons as a simple random sample from the city and the surrounding area, which has a population of about 600,000. If 17 vegan meals are available, what is the approximate probability that there will not be enough vegan meals-that is, the probability that 18 or more vegans will come to the restaurant? Assume the vegans are independent and there are no families of vegans. The probability is(]. Round to three decimal places as needed.) A true/false test has 100 questions, A passing grade is 59% or more correct answers. a. What is the probability that a person will guess correctly on one true/false question? b. What is the probability that a person will guess incorrectly on one question? G. Find the approximate probability that a person who is just guessing will pass the test. d. If a similar test were given with multiple-choice questions with four choices for each question, would the approximate probability of passing the test by guessing be higher or lower than the approximate probability of passing the true/false test? Why? CIDD a. What is the probability that a person will guess correctly on one true/false question? (Type an integer or a decimal.) A large community college district has 1000 teachers, of whom 50% are men and 50% are women. In this district, administrators are promoted from among the teachers. There are currently 40 administrators, and 70% of thes administrators are men. Complete parts (a) through (d) below. a. If administrators are selected randomly from the faculty, what is the approximate probability that the percentage of male administrators will be 70% or more? (Round to three decimal places as needed.)