Question

In: Statistics and Probability

1) Assume that a procedure yields a binomial distribution with nequals5 trials and a probability of...

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

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