Question

A poll found that15​% of adults do not work at all while on summer vacation. In a random sample of 8 ​adults, let x represent the number who do not work during summer vacation. Complete parts a through e.

a. For this​ experiment, define the event that represents a​ "success." Choose the correct answer below.

A. Adults working during summer vacation

B. Adults not working during summer vacation

2. Explain why x is​ (approximately) a binomial random variable. Choose the correct answer below.

A. The experiment consists of only identical trials.

B. The experiment consists of identical​ trials, there are only two possible outcomes on each trial​ (works or does not​ work), and the trials are independent.

C. The trials are not independent.

D. There are three possible outcomes on each trial.

3. Give the value of p for this binomial experiment.

P=?

d. Find ​P(x=3​).

​P(x=3​)?

​(Round to four decimal places as​ needed.)

e. Find the probability that 2  or fewer of the 8 adults do not work during summer vacation.

​P(x≤2​)=?

​(Round to four decimal places as​ needed.)

Answer 1

From the given information,
By using calculator,
The required correct answers are,

a. Adults not working during summer vacation.

2. The experiment consists of identical​ trials, there are only two possible outcomes on each trial​ (works or does not​ work), and the trials are independent.

3. P= 0.15

d. P(X=3)= 0.0839

e. P(x<2)= 0.8948

Dear student,
I am waiting for your feedback. I have given my 100% to solve your queries. If you are satisfied by my given answer. Can you please like(thumbs up) it☺
Thank You, So Much!!!