Math 302 Week Three Quiz One 03 2024

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American Public University *

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302

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Statistics

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Apr 3, 2024

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Question 1 1/1 point Suppose a random variable, . arises from a binomial experiment,If n = 25, and p = 0.85, find the P(X = 15) using Excel. Round answer to 4 decimal places. Answer: ___ 00016 __ v v Hide question 1 feedback In Excel, =BINOM.DIST(15,25,0.85 FALSE) Question 2 1/1point Approximately 8% of all people have biue eyes. Out of a random sample of 20 people, what is the probability that 2 of them have blue eyes? Round answer t0 4 decimal places. Answer: ___02711 __ v v Hide question 2 feedback Plx INOM.DIST(2,20,0.08 FALSE) ), in Excel,

Question 3 1/1point Approximately 8% of all people have blue eyes. Out of a random sample of 20 people, what is the probability that at most 2 of them have blue eyes? Round answer to 4 decimal places. Answer: ___07879 v w Hide question 3 feedback Plx < 2), in Excel INOM.DIST(2,20,0.08 TRUE) Question 4 1/1point Suppose a random variable,x,arises from a binomial experiment. If n = 14, and p = 0.13, find the P(X = 3) using Excel. Round answer to 4 decimal places. Answer: ___09021 v v Hide question 4 feedback In Excel, =BINOM.DIST(3,14,013TRUE) Question 5 1/1point If random variable X has a binomial distribution with n =10 and Plsuccess) = p 0.6, find the probability that X is more than 3. (That s, find P(X>3) (round to 4 decimal places) Answer: __09452 __ v w Hide question 5 feedback Pix>3)=1-Plx

Jin Excel BINOM.DIST(3,10,0.6,TRUE) Question 6 “The table of data btained from WWW.BASEBALL-ALMANAC.COM shows four wel Known bascball players. Suppose that one hit from the table s randornly seleted NAME__|[singie || Doubte | Tripe | Home Run || ToTAL HITS Baberun 517 Jsoo 36 Jina 73 ackic Robinson [JLoss |73 Jlsa |37 Lsis Tycom fsoos [i7s Joos e 186 HankAaron _[p29s [g2u fos s . Toras Jsaes s fs o s Find it wasa Hosme RanfThe it was e by Ty Co ). 0027 0973 0009 0066 v Hide question 6 feedback 114/4186 Question 7 1/1point ‘There are 4 answers for a single question on the exam and only one answer is correct. If a student guesses the answer for this question, what s the probability that the student selects the correct answer? (round to 2 decimal places) Answer: __025 v v Hide question 7 feedback 4 possibilities but only 1 correct answer. 4

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Question 8 1/1point In the game of roulette, there is a wheel with spaces marked O through 36 and 2 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: 0026 _ v w Hide question 8 feedback Thereis only 1 way to land on 30 and there are 38 total possibilties. /38 Question9 1/1point 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 _ v v Hide question 9 feedback 1+263°10° Question 10 0/1point

Let X be the number of courses taken by a partime student at a college. The following table shows the probabilty distibution of X with probabilty 5 3 percentage. [Number of Couses, x] 1 [ 2 | 3 erobabitie, PO=) - [sse oseaf 17 What s the probability that a randomnly seected parttime student a this college takes a least 2 coures? (That s, find P(X 22) Answer: 065 _ x (0.45,.45) (round to 2 decimal places) w Hide question 10 feedback 28+.17 Question 11 0/1point “The random varisble X = the umber of vhicles wned. Find the probsbiliy that s prson owns. s than 2 vehicles. Round o two decimal placs. lo3slosfozo Answer: 03__ x (045,.45) v Hide question 11 feedback Less than 2 is P(x = 0) + Plx = 1) 1+.35

Question 12 1/1point Let X be the number of courses taken by a part-ime student at a college. The following table shows the probabilty distibution of X with probabilty s 3 percentage. [Nomber of Couses. x] 1 [ 2 | 3 s fosee oo 1t randomly selected part-tme stdent at tiscollge akes a least2 courses? (That s, ind P(X22) Answer: 054 v (round to 2 decimal places) w Hide question 12 feedback 28+.26 Question 13 0/1point Does the following table represent a valid discrete probabilty distibution? [P0 o.16[ootJo2s o1 fo.of Yes o+ )No w Hide question 13 feedback No, since the probabilities do not add up to 1 Question 14 1/1point

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‘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: ___ 09943 _ v v Hide question 14 feedback New mean = 2.83/8 = .35375 per hour. P(x s 2),in Excel POISSON.DIST(2,0.35375TRUE) Question 15 1/1point Computer Help Hot Line receives, on average, 14 calls per hour asking for assistance. Assume the variable follows a Poisson distribution. What is the probability that the company will receive more than 20 calls per hour? Round answer to 4 decimal places. Answer: ___00479 __ v v Hide question 15 feedback Plx > 20) = 1 - Plx s 20). In Excel, =1-POISSON.DIST(20,14TRUE) Question 16 1/1point Abank gets an average of 8 customers per hour. Assume the variable follows a Poisson distribution. Find the probabilty that there will be 11 customers at this bank in one hour. (That s, find P(X=11) (Round answer to 4 decimal places) Answer: __00722 v v Hide question 16 feedback In Excel, =POISSON.DIST(11,8,FALSE)

Question 17 1/1point Abank 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: ___ 08815 __ v w Hide question 17 feedback P11 1-Plx 5 10), in Excel POISSON.DIST(10,15TRUE) Question 18 1/1point There are on average 5 old growth Sitka Spruce trees per 1/8 of an acre in a local forest. Find the probabilty that that there are exactly 30 Sitka Spruce. trees in 1 acre in a remote part of the forest that is scheduled to be logged next year. Round answer to 4 decimal places. Answer: ___0.0185 _ v v Hide question 18 feedback New mean per 1 acre 0. Plx = 30), in Excel ISSON.DIST(30,40,FALSE) Question 19 1/1 point Three cards are drawn from a deck without replacement. What is the probability that all three cards are clubs? 02575 00129 00145

00156 v Hide question 19 feedback 13 cubs out of a standard 52 card deck =(13/52)"(12/51)*(11/50) Question 20 1/1point What type of probability uses sample spaces to determine the numerical probability that an event will occur? conditional probability sublective probability () dlassical probability ‘empirical probability

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Math 302 Week Three Quiz One 03 2024

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