wk3 (5)

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American Public University *

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302

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Statistics

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Apr 26, 2024

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Week 3 Knowledge Check Homework Practice Questions - Re… Attempt 4 of 4 Written Mar 24, 2024 8:02 PM - Mar 24, 2024 8:37 PM Attempt Score 18 / 20 - 90 % Overall Grade (Highest Attempt) 18 / 20 - 90 % Question 1 1 / 1 point ___ .9936___ Hide ques±on 1 feedback Question 2 1 / 1 point ___ .9452___ Hide ques±on 2 feedback If random variable X has a binomial distribution with n =10 and P(success) =p =0.2, find the probability that X is less than 6. (That is, find P(X<6) Answer: (round to 4 decimal places) P(x < 6) = P(x ≤ 5) , in Excel =BINOM.DIST(5,10,0.2,TRUE) If random variable X has a binomial distribution with n =10 and P(success) = p =0.6, find the probability that X is more than 3. (That is, find P(X>3) (round to 4 decimal places) Answer: P(x > 3) = 1 - P(x

Question 3 1 / 1 point ___ 20___ Hide ques±on 3 feedback Question 4 1 / 1 point ___ 9___ Hide ques±on 4 feedback Question 5 1 / 1 point ___ .6563___ Hide ques±on 5 feedback , in Excel =1-BINOM.DIST(3,10,0.6,TRUE) Approximately 10% of all people are left-handed. If 200 people are randomly selected, what is the expected number of left-handed people? Round to the whole number. Do not use decimals. Answer: 200*.10 If random variable X has a binomial distribution with n=15 and P(success) =p= 0.6, find the mean of X. That is, find E(X). Round to the whole number. Do not use decimals. Answer: 15*.6 It is known that 50% of adult workers have a high school diploma. If a random sample of 6 adult workers is selected, what is the probability that 3 or more of them have a high school diploma? (That is, find P(X ≤ 3) (round to 4 decimal places) Answer: 3) (round to 4 decimal places) Answer:

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 is 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 2,294 624 98 755 3,771 TOTALS 8,468 1,577 583 1,720 12,351 Find P (hit was made by Hank Arron|The hit was a Single). Hide ques±on 6 feedback Question 7 1 / 1 point ___ .026___ Hide ques±on 7 feedback P(X ≥ 3) = 1 - P(x ≤ 2), in Excel =1-BINOM.DIST(2,6,0.5,TRUE) 0.033 0.066 0.729 0.271 2294/8468 In the game of roulette, there is a wheel with spaces marked 0 through 36 and a space marked 00. Find the probability of winning if you pick the number 30 and it comes up on the wheel. Round your answer to 3 decimal places. Answer:

Question 8 1 / 1 point ___ .375___ Hide ques±on 8 feedback Question 9 1 / 1 point ___ .1420___ Hide ques±on 9 feedback Question 10 1 / 1 point Is the following table a valid discrete probability distribution? x -5 -2.5 0 2.5 5 There is only 1 way to land on 30 and there are 38 total possibilities. 1/38 In a box there are 3 red cards and 5 blue cards. The cards are well-shuffled. If you pick a card without looking at the box, what is the probability that you pick a red card? (round to 3 decimal places) Answer: 3/8 The number of M&M's for each color found in a case were recorded in the table below. Blue = 481, Brown = 371, Green = 483, Orange = 544, Red = 372, Yellow = 369 Total = 2620 What is the probability of selecting a red M&M? Round answer to 4 decimal places. Answer: 372/2620

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