SOLUTION: The probability that a slightly defective soda machine will dispense a soda when properly operated is 0.60. During the day 150 people attempted to use the machine to purchase a sod

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Question 757614: The probability that a slightly defective soda machine will dispense a soda when properly operated is 0.60. During the day 150 people attempted to use the machine to purchase a soda.
a. What is the expected number of these people who obtain a soda from this machine?
b. With what standard deviation?

Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
This is a binomial probability problem, where the expected number is given by the mean. The mean of a binomial distribution = n*p where n = the number of trials and p = the probability of success in any one trial.
Expected value = 150*0.6 = 90
The standard deviation = sqrt%28np%281-p%29%29+=+sqrt%28150%2A0.6%2A0.4%29+=+6