It is known that the probability of being able to log on to a computer from a remote terminal at any given time is .7. Let X denote the number of attempts that must be made to gain access to the computer. (a) Find the first four terms of the density table. (b) Find a closed-form expression for f(x). (c) Find P[X = 6]. (d) Find a closed-form expression for F(x). (e) Use F to find the probability that at most four attempts must be made to gain access to the computer. (f) Use F to find the probability that at least five attempts must be made to gain access to the computer.
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Probability being is remote in this condition, but terminal remote attempts can be counted and calculated below.
- The likelihood of being able to connect to a computer from a remote terminal at any particular time is understood to be 7.
- Let X represent the number of tries required to gain access to the computer. a) Locate the density table's first four terms. b) For f, find a closed-form expression (x). c) P[X = 6]. 3.
- Here's what I got:
- a) x P[X = x]
- b) x P[X = x]
- c) 2 0.49 3 0.343 4 0.2401 1 0.7 2 0.49 2 0.49 2 0.49 2 0.49 2 0.49 2 0.49 2 0.49
- f(x) = b) f(x) = b) f(x) = (0.7) x, where x = 1, 2, 3, 4,... 0 in other places c) f(x) = (0.7)6 = 0.117649 f(x) = (0.7)6 = 0.117649 f(x) = (0.7)6 =4.2056
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