# Questions on Algebra: Probability and statistics answered by real tutors!

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 Algebra: Probability and statistics Solvers Lessons Answers archive Quiz In Depth

 Question 229864: 11. Use the formula for simple interest, I = prt. Find p if I = \$184.28, r = 4.1%, and t = 2 yr. (1 point) * \$2,022.59 * \$2,382.16 * \$2,247.32 * \$1,842.80 Click here to see answer by stanbon(57282)
 Question 229864: 11. Use the formula for simple interest, I = prt. Find p if I = \$184.28, r = 4.1%, and t = 2 yr. (1 point) * \$2,022.59 * \$2,382.16 * \$2,247.32 * \$1,842.80 Click here to see answer by rfer(12654)

 Question 229860: You are dealt two cards successively ( without replacement) from a shuffled deck of 52 playing cards. what the probablility the first card is a king and the second is a queen Click here to see answer by ly12603(44)

 Question 229906: 8. What is 59% of 70? Estimate the answer. (1 point) * 56 * 49 * 35 * 42 Click here to see answer by likaaka(51)

 Question 229919: In a marketing class, 44 student members of virtual project teams (group1) and 42 members of face-to-face project teams (group2) were asked to respond on a 1-5 scale to the question: “As compared to other teams, the members helped each others.” For group 1 the mean was a standard deviation of 0.97, while for group 2 the mean was 1.90 with a standard deviation of 0.91. At alfa = .01, is the virtual team mean significantly higher? Click here to see answer by stanbon(57282)

 Question 229926: We wish to estimate the population proportion. We want to be 95 percent confident of our results and we want the estimate to be with .01 of the population parameter. No estimate of the population proportion is available. What value should we use for p? Click here to see answer by stanbon(57282)

 Question 229927: The Central Limit theorem ensures that the sampling distribution of the sample mean approaches the normal distribution as the sample size increases? Click here to see answer by stanbon(57282)

 Question 229910: 10. Used CDs make up 41.3% of a music store’s stock. If the store has a total of 1000 CDs, estimate the number of used CDs in stock. (1 point) * 4000 CDs * 500 CDs * 400 CDs * 300 CDs Click here to see answer by rfer(12654)

 Question 229988: The daily cost of photocopying in a certain office is assumed to be normally distributed with a mean of \$80 and a standard deviation of \$4. Find the probability that: a) the cost for a randomly selected day is more than \$75 -----> = 0.8944 b) the average cost of 10 randomly selected days is more than \$75 Stuck with part b, should it just be 0.8944^10? Click here to see answer by stanbon(57282)

 Question 230013: 32. Find the minimum and maximum possible areas for a rectangle measuring 4.15 cm by 7.34 cm. Round to the nearest hundredth. (Hint: Remember to include appropriate units in your final answers.) (3 points) Click here to see answer by Alan3354(30993)

 Question 229900: 1. Describe the effect of increasing the size of a sample on the margin of error of a 95% confidence interval. Address any potential changes to either piece of the formula. 2. Describe the effect of changing a confidence level from 95% to 90% on the margin of error. Address any potential changes to either piece of the formula. 3. Explain clearly and briefly what 95% confidence means. 4. Briefly explain the difference between statistical significance and practical significance. 5. Why is it not necessary to apply inferential methods to a census? 6. When is it ok to use statistics based on a normal distribution (e.g., z-test, t-test), even if the population from which the data is taken is not normally distributed. Why is it ok? Click here to see answer by stanbon(57282)

 Question 229911: A bucket contains 6 orange balls and 8 yellow balls. 5 balls are to be selected at random. What is the probability that, of the 5 balls selected at least one is orange and at least one is yellow? What is the probability that, of the 5 balls selected at random, at least two are orange and at least two are yellow? Click here to see answer by edjones(7569)

 Question 230050: A club consists of 10 members. In how many different ways can a group of 3 people be selected to go on a European trip? Click here to see answer by rapaljer(4667)

 Question 230049: A die is rolled once. What are the odds against rolling a prime number? Click here to see answer by rapaljer(4667)

 Question 230048: One card is selected at random from an ordinary set of 52 cards. Find the probability of each of the following event. a spades and a 5 are drawn Click here to see answer by rapaljer(4667)

 Question 230278: A researcher is interested in estimating the noise levels in decibels at area urban hospitals. She wants to be 90% confident that her estimate is correct. If the standard deviation is 4.8, how large a sample is needed to get the desired information to be accurate within 0.70 decibels? Show all work. (Points: 4) Click here to see answer by stanbon(57282)

 Question 230204: A manufacturer wants to increase the shelf life of a line of cake mixes. Past records indicate that the average shelf life of the mix is 216 days. After a revised mix has been developed, a sample of nine boxes of cake mix gave these shelf lives (in days): 215, 217, 218, 219, 216, 217, 218 and 218, At the 0.025 level, has the shelf live of the cake mix increased? A. Yes, because computed t is greater than the critical value. B. Yes, because computed t is lss than the critical value. C. No, because computed t lies in the region of acceptance. D. No, because 217.24 is quite close to 216. Click here to see answer by stanbon(57282)

 Question 230312: When you draw a sample from a normal distribution, what can you conclude about the sample distribution? Click here to see answer by stanbon(57282)

 Question 230325: Among the contestants in a competition are46 women and 28 men. If 5 winners are randomly selected, what is the probability that they are all men Click here to see answer by stanbon(57282)

 Question 230405: For the following scores, find the (a) mean, (b) median, (c) sum of squared deviations, (d) variance, and (e) standard deviation: 1,112; 1,245; 1,361; 1,372; 1,472 Click here to see answer by rfer(12654)
 Question 230405: For the following scores, find the (a) mean, (b) median, (c) sum of squared deviations, (d) variance, and (e) standard deviation: 1,112; 1,245; 1,361; 1,372; 1,472 Click here to see answer by oghogho(1)

 Question 230433: If a seven is the desired number, what is the probability on getting a seven on exactly one of five rolls of the dice? On all five? Click here to see answer by stanbon(57282)

 Question 230464: Students sold 525 raffle tickets to raise money only 1 ticket will be drawn and 1 prize given away sergio brought 15 tickets wha is the probabilty that sergio will not win Click here to see answer by stanbon(57282)

 Question 230431: If you roll two dice, what is the probability of rolling exactly a seven on the third and fourth rolls? Click here to see answer by stanbon(57282)

 Question 230428: In testing a new drug, researchers found that 20% of all patients using it will have a mild side effect. A random sample of 15 patients using the drug is selected. Find the probability that: (a) exactly four will have this mild side effect. (b) at least seven will have this mild side effect. I understand how to do a, and I go the answer of .188, but I don't know how to do the setup for b. I used the formula to calculate binomial probabilities for a, what do I do for be. I'm not looking for an answer, I would just like the setup explained on how to get the answer. Thanks for your help. Click here to see answer by stanbon(57282)

 Question 230507: The points M, N, O, P, and Q represent exits on a highway (the numbers represent miles). An accident occurs at random between points M and Q. What is the probability that it has occurred between N and O? Click here to see answer by solver91311(16872)

 Question 230588: Consider a binomial distribution with 15 identical trials, and a probability of success of 0.5. Find the probability that x = 3 using the binomial tables. Use the normal approximation to find the probability that x = 3. Show all work. Click here to see answer by stanbon(57282)

 Question 230511: Express confidence level using 0.222 _+ (plus/minus) 0.044 in the form "P-hat - E < p < p-hat + E" Click here to see answer by stanbon(57282)

 Question 230597: Classify the following as discrete or continuous random variables. A) The number of business majors at SU. B) The time it takes to complete this assignment. C) The blood pressures of patients admitted to a hospital in one day D) The number of people who play the state lottery each day Click here to see answer by user_dude2008(1861)

 Question 230596: A bag of jelly belly candies contains the following colored jelly beans: red (10), blue (2), orange (5), brown (21), green (0), and yellow (18). Construct the probability distribution for x. Click here to see answer by user_dude2008(1861)

 Question 230503: How many batting lineups are there for the nine players of a baseball team if the center fielder must bat fourth and the pitcher last? Click here to see answer by stanbon(57282)

 Question 230624: .In a standard deck of 52 playing cards, what is the probability of drawing a face card (J,Q, or K)? Click here to see answer by drj(1380)

 Question 230627: In a standard deck of 52 playing cards, what is the probability of drawing a heart, club, diamond, or spade? Click here to see answer by drj(1380)

 Question 230626: In a standard deck of 52 playing cards, what is the probability of drawing a number greater than 10? Click here to see answer by drj(1380)

 Question 230625: In a standard deck of 52 playing cards, what is the probability of drawing a number greater than 10? Click here to see answer by rfer(12654)

 Question 230644: Assume that the population of heights of male students is approximately normally distributed with mean of 68 inches and Standard deviation of 3.75 inches. A random sample of 16 heights is obtained. Show all work A. Find the proportion of male students whose height is greater than 70 inches. B. Find the mean and Standard deviation error of the x distribution C. Find p(x > 70) Click here to see answer by stanbon(57282)

 Question 230639: Four cards are selected, one at a time from a standard deck of 52 cards. Let X represent the number of Jacks drawn in a set of 4 cards. A) If this experiment is completed without replacement, explain why x is not a binomial random variable. B) If this experiment is completed with replacement, explain why x is a binomial random variable. Click here to see answer by stanbon(57282)

 Question 226165: Two cards are drawn without replacement from an ordinary deck of 52 cards. What are the odds in favor of drawing two queens? A) 220:1 B) 1:220 C) 1:221 D) 1:168 Click here to see answer by edjones(7569)

 Question 230753: A poker hand (5 cards) is drawn from an ordinary deck of 52 cards. Find the probability of each event, showing your reasoning carefully. a. The first four cards are the four aces. b. Any four cards are the four aces. Click here to see answer by stanbon(57282)

 Question 230751: The probability is 1 in 4,000,000 that a single auto trip in the United States will result in a fatality. Over a lifetime, an average U.S. driver takes 50,000 trips. (a) What is the probability of a fatal accident over a lifetime? Explain your reasoning carefully. Hint: Assume independent events. Why might the assumption of independence be violated? (b) Why might a driver be tempted not to use a seat belt “just on this trip”? Click here to see answer by stanbon(57282)

 Question 230708: A study was done to see if allergic hypersensitivity to dental materials was more common in men than women. Seventy-five out of 150 men exhibited allergic hypersensitivity and 60 out of 150 women exhibited allergic hypersensitivity. State the null and alternative hypothesis and perform appropriate statistical test Click here to see answer by stanbon(57282)

 Question 230836: i have two questions that are very similiar.. \$8,000 is compounded annually for 3 years at a rate of 6%. How much is in the account at the end of the term? \$4,000 compounded semiannually for 5 years at a rate of 4%. How much is in the account at the end of the term? thank you for your time! Click here to see answer by stanbon(57282)

 Question 230838: \$1200 is compounded daily for 3.5 years at a rate of 8.5%. How much is in the account at the end of the term? (assume 360 days in a year) thank you! Click here to see answer by rfer(12654)

 Question 230846: a)find the value of an annuity with a periodic deposit of \$3000 at the end of each year, a rate of 4% annually for a time of 20 years. b)find the value of an annuity with a periodic deposit of \$50 at the end of each month of 6% monthly, for a time of 30 years. thank you! Click here to see answer by rfer(12654)

 Question 230877: The diameters of grapefruits in a certain orchard are normally distributed with a mean of 6.85 inches and a standard deviation of 0.80 inches. Show all work. (A) What percentage of the oranges in this orchard have diameters less than 6.3 inches? (B) What percentage of the oranges in this orchard are larger than 6.75 inches? (C) A random sample of 100 oranges is gathered and the mean diameter obtained was 6.75. If another sample of 100 is taken, what is the probability that its sample mean will be greater than 6.75 inches? (D) Why is the z-score used in answering (A), (B), and (C)? (E) Why is the formula for z used in (C) different from that used in (A) and Click here to see answer by stanbon(57282)

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