Each time a component is tested, the trial is a success (S) or failure (F). Suppose the component is tested repeatedly until a success occurs on three consecutive trials. Let Y denote the number of trials necessary to achieve this. List all outcomes corresponding to the five smallest possible values of Y. (Enter your answers as a comma-separated list.)Y Outcomes

a. 3b. 4c. 5d. 6e. 7

a) Y = 3 trials : [SSS]

b) Y = 4 trials : [FSSS]

c) Y = 5 trials: [FFSSS; SFSSS]

d) Y = 6 trials: [FFFSSS; SSFSSS; SFFSSS; FSFSSS]

e) Y = 7 trials: [SSS; FFSFSSS; FSSFSSS; SSFFSSS; SFSFSSS; SFFFSSS; FSFFSSS]

Step-by-step explanation:

Here the outcome of a trial is S(success) or F(failure). We are told the component is tested repeatedly until a success occurs on three consecutive trials, which means an outcome of S must be gotten 3 time consecutively (SSS).

Let's take Y as the number of trials, therefore

a) Y = 3 trials : [SSS]

This outcome is the only possibility here because we are limited to just 3 trials and S must happen 3 times consecutively.

b) 4 trials : [FSSS]

Similar to option A, S should be gotten an 3 consecutive trials.

c) 5 trials: [FFSSS; SFSSS]

In this case F is also possible, but if we get FSSS there would be no need for a fifth trial since we have gotten 3 consecutive S.

d) 6 trials: [FFFSSS; SSFSSS; SFFSSS; FSFSSS]

In this case the 4 last outcomes must be FSSS. For the outcomes before the last 4, we just had to make sure it doesn't have S 3 consecutive times

e) 7 trials: [SSS; FFSFSSS; FSSFSSS; SSFFSSS; SFSFSSS; SFFFSSS; FSFFSSS]

This is similar to option d

answer: f = 32.2m

step-by-step explanation: that is the answer

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d