Q4.A type of chocolate bar contains, with probability 0.1, a prize voucher. Whether or not a barcontains a voucher is independent of other bars. A hungry student buys 8 chocolate bars. Let X denote thenumber of vouchers that she finds.(a) What is the distribution of X? How likely is it that the student finds no vouchers?(b) Calculate the expected number of vouchers that she will find and also find the standard deviation.(e) How likely is it that she finds at least two vouchers?STANDARD NORMAL DISTRIBUTION: Table Values Represent AREA to the LEFT of the Z score.Z.06.07.0800004 .00003.0000400006.000050000500008 .00008 00008.00.01.02.03.04.05-3.9 00005 00005 00004 00004 00004 .00004-3.8 .00007 00007 00007 00006 .00006 .00006-3.7 00011 .00010 00010 .00010 00009 .00009-3.6 00016 .00015 00015 .00014 00014 .00013 .00013 00012 00012-3.5 .00023 .00022 .00022 .00021 00020 .00019 00019 00018 0001700034 00032 .00031 00030.00029 .00028 .00027 .00026 0002500048 00047 00045 .00043 00042 .000-40 .00039 .00038 00036-3.2 .00069 .00066 .00064 .00062 00060 .00058 .00056 .00054 00052-3.1 .00097 .00094 .00090 .00087 00084 .00082 .00079 .0007600074-3.0 00135 .00131 00126 00122 00118 .00114 00111 00107 00104-2.9 00187 .00181 .00175 .00169 .00164 .00159.00154 .00149 00144-2.8 00256 .00248 00240 00233 00226 00219 00212 00205 .00199-2.7 .00347 00336 .00326 00317 00307 .00298 .00289 00280 00272-2.6 00466 00453 00440 00427 00415 00402 00391 00379 00368-2.5 00621 00604 00587 00570 00554 00539 .00-23 00508 00494-2.4 .00820 .00798 .00776 .00755 .00734 .00714 .00695 .00676 00657-2.3 01072 01044 01017 00990 00964 .00939 .00914 .00889 0086601390 01355 01321 01287 01255 01222 01191 .01160 01130-2.1 01786 01743 01700 01659 01618 01578 01539 01500 01463-2.0 02275 02222 02169 02118 02068 02018 01970 01923 01876-1.9 02872 02807 02743 02680 02619 .02559 02500 02442 02385-1.8 03593 03515 03438 03362 03288 032160314403074 03005-1.7 04457 04363 04272 04182 0409304006 03920-1.6 05480 .05370 05262 05155 05050 04947 04846-1.5 06681 06552 06426 06301 06178 06057 05938-1.4 08076 07927 07780 .07636 07493 07353 07215.06811-1.3 09680 09510 09342 09176 09012 08851 08691 08534 0837908226-1.2 11507 11314 11123 .10935 .10749 .10565 .10383 .10204 .10027 .09853-1.1 .13567 13350 .13136 12924 12714 12507 12302 .12100 11900 11702-1.01586615625 15386 15151 14917 .1468614457 .14231 14007 1378603836 037540367304746 046480455105821 057050559207078 06944Appendix-0.9 18406-0.8 21186.1814120897-0.7 24196 23885.26435-0.6 27425 27093-0.5 30854 30503-0.4.301532980634458 .34090.33724.33360-0.337828.37448 .37070-0.24168341294 40905-0.1 46017 45620 45224 .44828-0.0 50000 49601 492023820942074.17879 .1761920611 2032723576 2327026763.17106.1976622965.2266326109 2578529460 29116.32636.173612004532997.36693405174443348803 48405 48006.3631740129.4403816853.19489.09.00003.00005.00008.00011.00017.00024.00035.00050.0007100100.00139.001930026400357.00480.006390084201101.01426018310233002938.16109.16602 .16354.19215 .18943 .1867322363.22065 21770 .214762451025463 25143 2482528774 28434 280962776032276 31918 31561.3120735942 .3556935197.3482739743 39358389743859142858 4246543644 4325147608 47210 46812 46414 STANDARD NORMAL DISTRIBUTION: Table Values Represent AREA to the LEFT of the Z score.Z.00.01.02.090.0 500000.1 539830.2 579260.30.450399 5079854380 5477658317 58706.61791 6217265542 .65910662760.5 .69146 .69497 69847.73237.764240.67257575804.72907.761150.70.878814 .79103 793890.981594 .81859838911.19544996080 9616496327.96712.96856 96926.9699597062.96784974419738197500 97558 9761597670979329798298030 98077 9812498169.03.04.05.06.07.0851197 51595 $1994 52392 52790 53188 5358655172 55567 55962 56356 56749 57142 5753559095 59483 59871 .60257 .60642 .61026 .6140962552 .62930 .63307 .63683 .64058 .64431 .64803 .65173.66640 .67003 .67364 .67724 68082 68439 .68793.70194 .70540 .70884 .71226 .71566 .71904 .72240.73565 .73891 74215 .74537 .74857 75175 .75490.76730 .77035 77337 .77637 77935 .78230 .78524.79673 .79955 80234 .805118078581057 81327.82121 .82381 .82639 .82894 .83147 .83398 .836461.0 84134 .84375 .84614 .84849 85083 .85314 .85543 .85769 85993 .86214.86433 .86650 86864 .87076 .87286 .87493 .87698 .87900 .88100 882981.2 .88493 88686 88877 .89065 .89251 .89435 .89617 .89796 89973 .901471.390320 90490 90658 .90824 .90988 91149 .91309 91466 91621 917741.4 91924 92073 92220 92364 92507 92647 92785 92922 93056 931891.5 93319 93448 .93574 .93699 93822 .93943 94062 94179 94295 944081.6 94520 94630 94738 94845 94950 95053 95154 95254 953521.7 95543 95637 95728 95818 .95907 95994.962461.8 96407 96485 96562 .966381.9 97128 97193 97257 973202.0 97725 97778 97831 9788298257 98300 .983419838298645 98679 .98713 .9874598956 98983 .99010 .99036 .99061 .99086 99111 .9913499202 99224 99245.99266 99286 99305 99324 9934399413 .9943099446 99461 99477 9949299560 99573 99585 .99598 99609 9962199674 .99683 9969399702 99711 9972099760 99767 99774 99781 99788 997959981999825 .99831 99836 99841 99846 99851 998563.0 .99865 99869 99874 .99878 99882 .99886 99889 998933.1 99903 .99906 99910 .99913 .99916 .99918 .99921 999243.2 9993199934 99936 99938 9994099942 .99944 999463.2 .99931 .99934 .99936 .99938 .99940 .99942 .999443.3 99952 99953 .99955 99957 99958 .99960 999613.4 .99966 99968 99969 .99970 .99971 .9997299978 .99979 99980.99985 .99986 .99986.99990 .99990 9999199993 .99994 .9999499996 99996 99996985742.1 982142.2 9861098422 .98461 98500.9853798778 98809 98840 98870988992.3 98928991582.4 .99180993612.5 9937999506.995202.6 .995349963299643.99396.9954799664997522.7 99653.997282.8 99744998012.9 9981399896.999469996299973 .9997499981 .99981 .99982.99937 .99988 .99988.99987.9999199992 .99992 99992.99994 99994 .99995 99995.99996 99996 99996 999973349253.5 .99977 .99978.99985.999903.6 .999843.7 .999893.8 99993999933.9 .99995 999959992699948997369980799861.999009992999950.99948.99950.9996499965.999759997699983 9998399989999929999599997

The likelihood of obtaining a prize voucher, p=0.1. The no. of chocolates bought is 8. The random…

Answered: Q4. A type of chocolate bar contains,…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Assume that the normal distribution can be used to approximate the following binomial distribution question. A survey of adults found that 6% say their favorite sport is auto racing. You randomly select 400 adults and ask them to name their favorite sport. Complete parts (a) and (b). (a) Find the probability that the number of people who say auto racing is their favorite sport is at most 30. (b) Find the probability that the number of people who say auto racing is their favorite sport is more than 33. (Round to four decimal places as needed.)
A deck of four (4) cards has exactly one (1) color printed on each face – blue, yellow, red, or green. You have two (2) identical decks of this type. In this game, you randomly select a card from each of the two decks. Your score is the number of blue cards drawn – refer to this quantity as X. The probability distribution is below: X P(X) 0 0.5625 1 0.375 2 0.0625 What is the average number of blue cards drawn? What is the probability that at most one blue card is drawn?
High school students in Michigan sometimes get "snow days" in the winter when the roads are so bad that school is canceled for the day. Define the random variableX = the number of snow days at a certain high school in Michigan for a randomly selected school year. Suppose the table below gives the probability distribution of X. 1. Value x, 1. 3 4 5 6 7 8 9 10 Probability p, ? 0.19 0.14 0.10 0.07 0.05 0.04 0.04 0.02 0.01 0.01 (a) Write the event “the school year has O snow days" in terms of X. Then find its probability. (b) At this high school, if more than 5 snow days are used over the course of the year, students are required to make up the time at the end of the school year. What's the probability that a randomly selected school year will require make-up days?
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please solve 4 a, b and c
In Alpha College, students are required to join at least one school club to get extra-curriculum activities’ marks.Suppose the following table represents the probability distribution function of the number of clubs (?) astudent join: ? 1 2 3 4 ?(? = ?) 0.1 2? ? + 0.1 ? (a) Find the value of ?.(b) What is the probability that a student joins at most two clubs?(c) Find ?(?), ???(?) and ?(?).(d) Suppose the membership fee is $100 per club, with the first enrolled club is free of charge. Let ? bethe total membership fee a student pay. Compute ?(?) and ?(?).(e) What percentage of students are paying not less than $200 for the total membership fee?(f) Write a simple paragraph (about 30 -50 words) to summarize the total membership fee a student payingfor joining school club(s) (based on the results in parts (d) and (e)).
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How do I solve
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the mean of the given probability distribution. 6) In a certain town, 40% of adults have a college degree. The accompanying table describes the probability distribution for the number of adults (among 4 randomly selected adults) who have a college degree. 6) P(x) 0|0.1296 10.3456 2 0.3456 3 0.1536 4 0.0256 A) µ= 1.73 B ) μ= 2.00 Ομ= 16 D) µ = 1.50
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There are 20 different pairs of shoes. Pick at random 10 shoes. Let X be the number of paired shoes, M be the number of shoes that are left-foot, N be the number of shoes that are right-foot. (a) Find the distribution of X. Show your problem-solving process (not just the final answer) with a few sentences of explanation and give the formula (b) Let Y = M – N. Give all possible values of Y. Find the distribution of Y. Show your problem-solving process (not just the final answer) with a few sentences of explanation and give the formula. (c) let Z = |Y|, compute E(X), Var(X), E(Z) and Var(Z). Show your problem-solving process (not just the answer), keep 2 decimal places for E(X) and E(Z), and use the approximate values for the calculations of Var(X) and Var(Z).

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