WK 3 Test

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Jun 12, 2024

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Week 3 Test Your work has been saved and submitted Written May 22, 2024 1:45 PM - May 22, 2024 3:12 PMAttempt 1 of 2 Attempt Score 18 /20-90% Overall Grade (Highest Attempt) 18 / 20-90 % Question 1 1 /1 point It is known that 20% of adult workers have a high school diploma. If a random sample of 10 adult workers is selected, what is the probability that 5 or more of them have a high school diploma? (That is, find P(X = 5) (round to 4 decimal places) Answer: ___0.0328 __ v W Hide question 1 feedback Px >5) =1-P(x <4), in Excel

=1-BINOM.DIST(4,10,0.2,TRUE) Question 2 1 /1 point If random variable X has a binomial distribution with n =7 and P(success) = p =0.6, find the probability that X is at least 6. (That is, find P(X = 6) (round to 4 decimal places) Answer: ___0.1586___ v W Hide question 2 feedback Px >6)=1-P(x <5), in Excel =1-BINOM.DIST(5,7,0.6,TRUE) Question 3 1 /1 point Approximately 8% of all people have blue eyes. A random sample of 20 people is selected, find M. Round to one decimal place. Answer: 1.6 v W Hide question 3 feedback 20%.08 Question 4 1 /1 point Suppose a random variable, x, arises from a binomial experiment. If n = 25, and p = 0.85, find the variance. Round answer to 4 decimal places. Answer: 3.1875 v

W Hide question 4 feedback 25%.85*%.15 Question 5 1 /1 point A coin is flipped 30 times. What is the probability of getting 15 or more heads? Round answer to 4 decimal places. Answer: ___.5722 __ W Hide question 5 feedback Px > 15) =1 -P(x < 14) in Excel =1-BINOM.DIST(14,30,0.5,TRUE) Question 6 0/ 1 point The table of data obtained from WWW.BASEBALL-ALMANAC.COM shows hit information for four well known baseball players. Suppose that one hit from the table 1s randomly selected. NAME Single || Double || Triple || Home Run || TOTAL HITS Babe Ruth 1,517 ||506 136 714 2,873 Jackie Robinson [|1,054 (273 54 137 1,518 Ty Cobb 3,603 ({174 295 114 4,189 Hank Aaron 2,294 11624 98 755 3,771 TOTALS 8,468 ||1,577 ||583 1,720 12,351 Find P(hit was made by Ty Cobb|The hit was a Home Run).

) 0.033 = () 0.066 x (114 ) 0.009 W Hide question 6 feedback 114/1720 Question 7 1 /1 point Find the probability of rolling a sum of two dice that is more than 7. Round answer to 4 decimal places. Answer: 0.4167 v W Hide question 7 feedback Dice outcomes 1 |2 3 4 5 6 ] (1, |a, a, ja, ja, ||, 1) |20 3 |4 |[5) ||6) , 2, |2, |2, |2, |2, |, 1) |20 |3) |4 |[5) ||6) 3 3, |3, B, |3, |3, |G, 1) |20 3) |4 |[5) ||6) 4 4, (4, |4, |4, |4, ||4, 1) |20 |3) |4 |[5) ||6)

: (5, |[(5, ||(5, |[(5, |[(5, (5, 1 12 |13) (|4 |5 ||6) 6 6, |[(6, |6, |[(6, (6, (6, 1 12 |13) (4 |5 ||6) 36 rolls total, 15 up them sum to greater than 7. Which is 8 or more. Probability 15/36 Question 8 1 /1 point A raffle sells 1000 tickets for $35 each to win a new car. What is the probability of winning the car? Round to three decimal places. Answer: W Hide question 8 feedback Only 1 person will win the car Probability = 1/1000 Question 9 1 /1 point An experiment is to flip a fair coin three times. What is the probability of getting exactly two heads? Round to 3 decimal places. Answer: W Hide question 9 feedback TTT TTH THT HTT HHH HHT HTH THH Exactly 2 Heads happens 3 times. Probability = 3/8 0375 _ v

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