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A long-distance cyclist's back tire sometimes pops during long rides. because the cyclist knows that her tire has a tendency to pop, she carries a repair kit with her. Let X be the number of times that the cyclist's tire pops during a 70 mile ride. X is either 0,1,2 or 3. The probability mass function of X is given in the table below:
where a is unknown positive value, assume p(x) = 0 if x ?/ 0, 1, 2, 3(a) What is the probability that the tire pops twice during a 70 mile ride?
x
0
1
2
3
P(x)
.4
a
3a
.16
(b) What is the expected value of the number of times that the cyclist's tire pops during a 70 mile ride?
(c) Each time her tire pops, the cyclist spends 10 minutes repairing her tire. What is the expected value of time that she spends fixing her tire on a single ride?
provide me a half page response to below discussion post.discussionto reiterate my workplace is a college where i work
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