According to an airline, flights on a certain route are on time 8585% of the time. Suppose 1010 flights are randomly selected and the number of on-time flights is recorded. (a) Explain why this is a binomial experiment. (b) Find and interpret the probability that exactly 77 flights are on time. (c) Find and interpret the probability that fewer than 77 flights are on time. (d) Find and interpret the probability that at least 77 flights are on time. (e) Find and interpret the probability that between 55 and 77 flights, inclusive, are on time.

Arandomized controlled trial is designed to evaluate the effect of metoprolol in patients with heart failure. while preparing for statistical analysis, the researcher reviews some common types of statistical errors. which of the following statements is true regarding a type i error in a clinical study? a. the study is not significantly powered to detect a true difference between study groups. bthe null hypothesis is true but is rejected in error. c. the null hypothesis is false but is accepted in error. d. type i error is also known as beta and is usually 0.1 or 0.2. e. type i error depends on the study's confidence interval.