Chapter 17, Problem 2E

(a)

To determine

To Explain: the circumstances are having Bernoulli trials that 5 die roll and at least two 6's need to be provided to win the game.

Explanation of Solution

Yes, Bernoulli trials are concerned with the condition of the sentence. Since "Getting a 6 and not getting a 6" provide two consequences.

  $p=\frac{1}{6}$ .

Therefore, the mention statement will not follow Bernoulli trails.

(b)

To determine

To Explain: the circumstances are having Bernoulli trials that register the eye colour distribution found inside a 500-person group.

Explanation of Solution

No, the mention statement circumstances will not involve Bernoulli trials. Due to the different colour of the eye of 500 individuals, more than two possible results are visible. So, the Bernoulli trials don't come.

(c)

To determine

To Explain: the circumstances are having Bernoulli trials that manufacturer is the likely to get any dangerous buttons.

Explanation of Solution

Yes, the mention statement circumstances involve Bernoulli trials.

Since, the 'Dangerous Button and Not Dangerous Button' result is only two probable. There's a steady possibility of success That is, P= 0.03. The trails are not separate because the total dolls are tiny, but 37 are likely to be less than 10 percent of all dolls.

Therefore, this statement is true for Bernoulli trials.

(d)

To determine

To Explain: the circumstances are having Bernoulli trials that get the probability they select all Democrats.

Explanation of Solution

No, the mention statement circumstances not involve the Bernoulli trials. Since, based on who is already chosen, the likelihood for a Republican or Democrat varies. The argument however does not obey the trials in Bernoulli.

(e)

To determine

To Explain: the circumstances are having Bernoulli trials that A study from the university showed that an exam was at last cheated at 74% of high school students. The local high school principal holds a poll of homerooms and collects responses from 322 of the 481 students who admit cheating.

Explanation of Solution

Yes, Bernoulli trials are concerned with the condition of the sentence. Since "Cheating acknowledged and not cheating" just have two effects, the reactions are independent of the students. The above assertion thus includes the trails of Bernoulli.