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American Military University *

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302

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Statistics

Date

Apr 3, 2024

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docx

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Uploaded by BaronResolve13851

n 1 1 It is known that 40% of adult workers have a high school diploma. If a random sample of 10 adult workers is selected, what is the expected number of adult workers with a high school diploma? (That is, what is E(X)?) Round to the whole number. Do not use decimals. Answer: ___4 ___ uestion 1 feedback on 2 0 / 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: ___0.3438 ___ (0.6563, .6563) uestion 2 feedback 3) = 1 - P(x ≤ 2), in Excel NOM.DIST(2,6,0.5,TRUE) on 3 1 / Suppose a random variable, x, arises from a binomial experiment. If n = 14, and p = 0.13, find the standard deviation. Round answer to 4 decimal places. Answer:___ ___1.2583 ___ uestion 3 feedback

el, T(14*0.13*0.87) on 4 1 / 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: ___20 ___ uestion 4 feedback 0 on 5 1 / 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: ___0.9452 ___ uestion 5 feedback ) = 1 - P(x≤3), in Excel NOM.DIST(3,10,0.6,TRUE) on 6 1 / The table shows a random sample of musicians and how they learned to play their instruments. Gender Self-Taught Studied in School Private Instruction Total Female 12 38 22 72 Male 19 24 15 58 Total 31 62 37 130

Find P (musician is a male AND had studied in School). 0.71 0.12 0.88 0.18 Hide question 6 feedback 24/130 n 7 1 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: ___.375 ___ uestion 7 feedback on 8 1 / The California license plate has one number followed by three letters followed by three numbers. How many different license plates are possible? Do not use commas in your answer. Answer: ___175760000 ___ uestion 8 feedback * 10 3 on 9 1 / 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

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Total = 2620 What is the probability of selecting a red M&M? Round answer to 4 decimal places. Answer: ___.1420 ___ uestion 9 feedback 20 on 10 1 / The random variable X = the number of vehicles owned. Find the P(X > 2). Round to two decimal places. x 0 1 2 3 4 P(X = x ) 0.1 0.35 0.25 0.2 0.1 Answer: ___.3 ___ uestion 10 feedback r than 2, is P(x = 3) + P(x = 4) on 11 0 / The random variable X = the number of vehicles owned. Find the probability that a person owns less than 2 vehicles. Round to two decimal places. x 0 1 2 3 4 P(X = x ) 0.1 0.35 0.25 0.2 0.1 Answer: ___.36 ___ (0.45, .45)

uestion 11 feedback an 2 is P(x = 0) + P(x = 1) 5 on 12 1 / Let X be the number of courses taken by a part-time student at a college. The following table shows the probability distribution of X with probability as a percentage. Number of Courses , x 1 2 3 Probability, P ( X = x ) 46% 28% 26% What is the probability that a randomly selected part-time student at this college takes at least 2 courses? (That is, find P(X ≥ 2) Answer: ___.54 ___ (round to 2 decimal places) uestion 12 feedback 26 on 13 1 / Does the following table represent a valid discrete probability distribution? x -5 -2.5 0 2.5 5 P ( X = x ) 0.05 0.25 0.32 0.18 0.2 yes no Hide question 13 feedback

Yes, because the probabilities add up to 1 n 14 0 A bank gets an average of 11 customers per hour. Assume the variable follows a Poisson distribution. Find the probability that there will be 9 or more customers at this bank in one hour. (That is, find P(X ≥ 9)) (round to 4 decimal places) Answer: ___.6595 ___ (0.7680, .7680) uestion 14 feedback ) = 1 - P(x ≤ 8), in Excel ISSON.DIST(8,11,TRUE) on 15 0 / The number of rescue calls received by a rescue squad in a city follows a Poisson distribution with an average of 2.83 rescues every eight hours. What is the probability that the squad will have at most 2 calls in an hour? Round answer to 4 decimal places. Answer: ____ ___.4623 ___ (0.9943, .9943) uestion 15 feedback ean = 2.83/8 = .35375 per hour. P(x ≤ 2), in Excel SON.DIST(2,0.35375,TRUE) on 16 1 / The mean number of visitors at a national park in one weekend is 47. Assume the variable follows a Poisson distribution. Find the probability that there will be at most 55 visitors at this park in one weekend. (That is, find P(X ≤ 55)) (round to 4 decimal places) Answer: ___.8904 ___

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uestion 16 feedback el, SON.DIST(55,47,TRUE) on 17 1 / A bank gets an average of 15 customers per hour. Assume the variable follows a Poisson distribution. Find the probability that there will be 11 or more customers at this bank in one hour. (That is, find P(X ≥ 11) (round to 4 decimal places) Answer: ___.8815 ___ uestion 17 feedback 1) = 1 - P(x ≤ 10), in Excel ISSON.DIST(10,15,TRUE) on 18 1 / A bank gets an average of 12 customers per hour. Assume the variable follows a Poisson distribution. Find the probability that there will be 10 or more customers at this bank in one hour. (That is, find P(X≥10) (round to 4 decimal places) Answer: ___.7576 ___ uestion 18 feedback 0) = 1 - P(x ≤ 9), in Excel ISSON.DIST(9,12,TRUE) on 19 1 / A box is filled with several party favors. It contains 12 hats, 15 noisemakers, 10 finger traps, and 5 bags of confetti. Let H = the event of getting a hat. Let N = the event of getting a

noisemaker. Let F = the event of getting a finger trap. Let C = the event of getting a bag of confetti. Find P(N). 0.13 0.12 0.36 0.24 Hide question 19 feedback 15/42 n 20 1 The casino game, roulette, allows the gambler to bet on the probability of a ball, which spins in the roulette wheel, landing on a particular color, number, or range of numbers. The table used to place bets contains 38 numbers, and each number is assigned to a color and a range. What is the probability of winning when betting on two lines that touch each other on the table as in 1-2-3-4-5-6? 2/38 6/38 5/38 4/38 Hide question 20 feedback 6 chances to win out of 38 possibilities.

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