A Writer for an Art Magazine Randomly Selects and Interviews Fifty Male and Fifty Female Artists
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Short ANSWER. Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. i) Truthful or Faux: The probability of an outcome Due east in an empirical experiment may change from experiment to experiment. ii) A single die is rolled twice. Find the probability of getting ii numbers whose sum is greater than 9. iii) A game has three outcomes. The probability of a win is 0.four, the probability of tie is 0.5, and the probability of a loss is 0.1. What is the probability of not winning in a single play of the game. 4) A sure disease merely affects men 20 years of age or older. The nautical chart shows the probability that a man with the disease falls in the given age grouping. What is the probability that a randomly selected man with the disease is non between the ages of 55 and 64? Historic period Grouping 20-24 Probability 0.004 0.006 25-34 35-44 0.14 45-54 0.29 55-64 0.32 65-74 0.17 75+ 0.07 five) If ane menu is drawn from a standard 52 card playing deck, determine the probability of getting a jack, a three, a club or a diamond. Round to the nearest hundredth. half-dozen) You roll two dice and full the up faces. What is the probability of getting a total of 8 or two up faces that are the same? Round to the nearest hundredth. seven) The tabular array lists the drinking habits of a group of college students. If a student is called at random, find the probability of getting someone who is a adult female or a heavy drinker. Round your answer to three decimal places. Sex Non-drinker Regular Drinker Heavy Drinker Full Man 135 68 5 208 Women 187 21 five 213 Total 322 89 10 421 8) A card is fatigued from a standard deck of 52 playing cards. Find the probability that the bill of fare is a queen or a gild. Express the probability every bit a simplified fraction. nine) A die is rolled. The set of equally likely outcomes is {1, 2, 3, 4, 5, half-dozen}. Observe the probability of getting a 2. x) A dice is rolled. The set of equally probable outcomes is {1, ii, 3, four, v, 6}. Find the probability of getting a ix. 11) You lot are dealt 1 card from a standard 52-card deck. Find the probability of being dealt a picture carte du jour. 12) A off-white money is tossed two times in succession. The set of equally likely outcomes is {HH, HT, Th,TT} Discover the probability of getting the same outcome on each toss. 13) A order elects a president, vice-president, and secretary-treasurer. How many sets of officers are possible if in that location are 11 members and any member tin be elected to each position? No person can hold more than one office. 14) A person can order a new car with a choice of 5 possible colors, with or without air-conditioning, with or without heated seats, with or without anti-lock brakes, with or without ability windows, and with or without a CD player. In how many dissimilar ways tin a new car exist ordered in terms of these options? 15) License plates in a particular state display 2 letters followed by two numbers. How many dissimilar license plates tin can be manufactured? (Repetitions are immune.) 16) How many different four-letter of the alphabet clandestine codes tin be formed if the beginning letter must be an S or a T? 17) If the probability of winning is 0.7. What's the odds in favor of winning? 18) If the odds of winning are five:ii, find the odds of losing? 19) A local bakery has determined a probability distribution for the number of cheesecakes that they sell in a given 24-hour interval. Discover the number of cheesecakes that this local bakery expects to sell in a twenty-four hour period. The distribution is equally follows: Number sold in a Twenty-four hours 0 5 x 15 20 Probability (Number Sold) 0.07 0.2 0.16 0.23 0.34 20) Mamma Temte bakes six pies a day that cost $2 each to produce. On 32% of the days she sells but ii pies. On 22% of the days, she sells 4 pies, and on the remaining 46% of the days, she sells all six pies. If Mama Temte sells her pies for $4 each, what is her expected profit for a day'south worth of pies? [Assume that whatever leftover pies are given abroad.] Possible Outcomes Net Gain (X) P(x) E(10) 21) A dice game involves throwing three dice and betting on i of the half-dozen numbers that are on the dice. The game costs $4 to play, and you win if the number you bet appears on any of the dice. Find your expected profit from playing this game. The distribution for the outcomes of the game (including the profit) is shown below: Number of die with your number 0 1 2 3 22) A writer for an art magazine randomly selects and interviews fifty male and fifty female artists. What sampling technique is used? A) Stratified B) Convenience C) Unproblematic random D) Systematic East) Cluster 23) A major medical clan tabulated its member'due south names. Out of 28,500 members on the list, 12,500 were randomly selected to complete a survey. Through the results of the survey, the major medical association estimated that the annual salary of its members was $99,000 per year. What sampling technique was used? A) Simple random B) Systematic C) Stratified D) Convenience Eastward) Cluster 24) At a local technical school, five auto repair classes are randomly selected and all of the students from each form are interviewed. What sampling technique is used? A) Stratified B) Convenience C) Systematic D) Cluster E) Simple random SHORT Answer. Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. 25) The number of goals scored by a random sample of 16 hockey players for a given season are five, 3, 21, 10, 7, two, 0, 30, 19, vi, 4, vii, 10, 5, 7, and 24. Compute the mean, median, and mode. Mean:_____________ Median:_____________ Way:________________ Profit -$4 $4 $6 $12 Probability of Observing 125/216 75/216 xv/216 ane/216 Expected Value Total: MULTIPLE Selection. Cull the one alternative that best completes the statement or answers the question. Place the type of sampling used. 26) A student scores 68 on a geography test and 240 on a mathematics test. The geography exam has a hateful of 80 and a standard departure of 10. The mathematics test has a mean of 300 and a standard deviation of 40. If the data for both tests are normally distributed, calculate the z=score for each of the examination and determine on which exam the student scored better relative to the other students in each class? 27) Health intendance issues are receiving much attention in both academic and political arenas. A sociologist recently conducted a survey of citizens over lx years of age whose internet worth is as well high to qualify for regime health care but who have no individual health insurance. The ages of 25 uninsured senior citizens were every bit follows: 68 73 66 76 86 74 61 89 65 ninety 69 92 76 62 81 63 68 81 70 73 lx 87 75 64 82 Suppose the mean and standard deviation are 74.0 and 9.7, respectively. Label the normal distribution. If nosotros assume that the distribution of ages is bong shaped, what percentage of the respondents volition be between 64.3 and 93.4 years erstwhile? 28) A astringent drought affected several western states for 3 years. A Christmas tree farmer is worried about the drought's effect on the size of his trees. To decide whether the growth of the trees has been retarded, the farmer decides to have a sample of the heights of 25 trees. Typically trees of this age accept a mean superlative of 65 inches with a standard departure of nine inches. Assuming the distribution is bell shaped, where do you expect heart 95% of the tree heights to fall? 29) A written report was designed to investigate the effects of ii variables - (1) a student'due south level of mathematical anxiety and (ii) educational activity method - on a student'southward achievement in a mathematics course. Students who had a low level of mathematical anxiety were taught using the traditional expository method. These students obtained a mean score of 390 and a standard deviation of 20 on a standardized test. Find and interpret the z-score of a educatee who scored 590 on the standardized examination. xxx) A pharmaceutical testing company wants to test a new cholesterol drug. The boilerplate cholesterol of the target population is 200 mg and they take a standard divergence of 25 mg. The visitor wished to test a sample of people who fall between 1.5 and three z-scores above the hateful. Into what range must a candidate's cholesterol level be in guild for the candidate to be included in the study? 31) Examination scores for a statistics grade had a mean of 79 with a standard departure of 4.five. Test scores for a calculus class had a hateful of 69 with a standard difference of 3.7. Suppose a student gets an 83 on the statistics test and a 95 on the calculus test. Calculate the z-score for each test. On which test did the student perform better relative to the other students in each grade? 32) Many people think that a national lobby'south successful fight against gun control legislation is reflecting the will of a minority of Americans. A random sample of 4000 citizens yielded 2250 who are in favor of gun control legislation. Gauge the true proportion of all Americans who are in favor of gun control legislation using a 95% confidence interval. Round to the nearest 10-thousandth. 33) A university dean is interested in determining the proportion of students who receive some sort of financial assistance. Rather than examine the records for all students, the dean randomly selects 200 students and finds that 118 of them are receiving financial help. Utilise a 95% confidence interval to estimate the true proportion of students on fiscal aid. Round to the nearest thousandth. 34) Suppose a senator finds that 45% of the United States voters are in favor of abolishing the Electoral College. How large a sample is needed in order to be 95% confident that the sample proportion volition non differ from the true proportion past more than than 3%?
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