In: Statistics and Probability
1) Assume that a procedure yields a binomial distribution with nequals5 trials and a probability of success of pequals0.30. Use a binomial probability table to find the probability that the number of successes x is exactly 1.
2) Assume that random guesses are made for 7 multiple choice questions on an SAT test, so that there are n=7 trials
trials, each with a probability of success (correct) given by p=0.2 Find the probability that the number x of correct answers is fewer than 4.
3) Assume that when adults with smartphones are randomly selected, 42% use them in meetings or classes. If 6 adult smartphone users are randomly selected, find the probability that at least 3 of them use their smartphones in meetings or classes. The probability is ?
4) Based on a survey, assume that 47% of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that when 4 consumers are randomly selected, exactly 2 of them are comfortable with delivery by drones. Identify the values of n, x, p, and q.
The value of n is