1. The manufacturer claims that the light bulb will be operational for an average of 34...
1. The manufacturer claims that the light bulb will be operational for an average of 34 months. For this math assignment, assume that the exponential distribution is the best model for the situation.
pexp(k, lambda) pexp(k, lambda, lower.tail = FALSE).
a. What is the probability that the light bulb lasts less than 40 months?
b. What is the probability that the light bulb lasts less than 34 months?
c. What is the probability that the light bulb lasts at least 40 months?
d. What is the probability that the light bulb lasts at least 28 months?
e. What is the probability that the light bulb lasts more than 32 months?
f. What is the probability that the light bulb lasts more than 32 months?
g. What is the probability that the light bulb lasts at most 42 months?
h. What is the probability that the light bulb lasts at most 24 months?
i. What is the probability that the light bulb lasts between 34 and 40 months?
j. What is the probability that the light bulb lasts between 24 and 43 months?
Please show the format in code for the answer.
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1. The manufacturer claims that the light bulb will be
operational for an average of 34...
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