Bob is working on two separate probabilityrelated projects. The first involves the variable N, which is the number of consecutively filled bottles of an anticancer drug that weigh in above the weight specification limit. The variable N is described by the formula (0.5)N because each unit has a 50-50 chance of being below or above the limit. The second involves the battery life L, which varies between 2 and 5 months. The probability distribution is triangular with the mode at 5 months, which is the design life. Some batteries fail early, but 2 months is the smallest life experienced thus far. (a) Write out and plot the probability distributions and cumulative distributions for N and L for Bob. (b) Determine P(N = 1, 2, or 3) consecutive units above the weight limit
Bob is working on two separate probabilityrelated
projects. The first involves the variable N,
which is the number of consecutively filled bottles
of an anticancer drug that weigh in above the
weight specification limit. The variable N is described
by the formula (0.5)N because each unit
has a 50-50 chance of being below or above the
limit. The second involves the battery life L,
which varies between 2 and 5 months. The probability
distribution is triangular with the mode at
5 months, which is the design life. Some batteries
fail early, but 2 months is the smallest life experienced
thus far.
(a) Write out and plot the probability distributions
and cumulative distributions for N and
L for Bob.
(b) Determine P(N = 1, 2, or 3) consecutive
units above the weight limit
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