A manufacturing company has 5 identical machines that produce nails. The probability that a machine will break down on any given day is .1 . Define a random variable X to be the number of machines that will break down in a day
a. What is the appropriate probability distribution for X?
b. Compute the probability that 4 machines will break down.
c. Compute the probability that at least 4 machines will break down.
d. What is the expected number of machines that will break down in a day?
e. What is the variance of the number of machines that will break down in a day?
a. Binomial
b. 0.00045
c. 0.00046
d. 0.5
e. 0.45
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Indicate whether the statement is true or false.