Please show work A poll found that 20% of adults do not work at all while on sum
ID: 3328124 • Letter: P
Question
Please show work
A poll found that 20% of adults do not work at all while on summer vacation. In a random sample of 10 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 O Adults not working during summer vacation O Adults working during summer vacation b. Explain why x is (approximately) a binomial random variable. Choose the correct answer below. O A. The experiment consists of only identical trials. O B. The experiment consists of identical trials, there are only two possible outcomes on each trial (wworks or does not work). and the trials are independent. O C. The trials are not independent O D. There are three possible outcomes on each trial c. Give the value of p for this binomial experiment. d. Find P(x 4) P(x4) (Round to four decimal places as needed.) e. Find the probability that 2 or fewer of the 10 adults do not work during summer vacation. Plxs2): (Round to four decimal places as needed)Explanation / Answer
a) Here success means a) Adults who dont work
b) B is correct
c) p=0.2
d) P(x=4)=10C4*(0.2)^4*(0.8)^6 =0.0881
e) P(x<=2)= P(x=0)+P(x=1)+P(x=2)= 0.3758