# 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 367511: If repetitions are not permitted, (i) how many 3 digit numbers can be formed from the six digits 2, 3, 5, 6, 7 and 9? (ii) How many of these are less than 400? (iii) How many are even? (iv) How many are odd? (v) How many are multiples of 5? Click here to see answer by edjones(7569)

 Question 367615: Let ⌊x ⌋ = the greatest integer that is less than or equal to x. For example ⌊4.23⌋ = 4 and ⌊8⌋ = 8 What is the average of ⌊10.75⌋ and ⌊-3.68⌋ ? Click here to see answer by robertb(4012)

 Question 367577: Niall rolls a fair die 50 times. Find: a) the expected number of odd numbers b) the variance of odd numbers c) the standard deviation of odd numbers Click here to see answer by robertb(4012)

 Question 367569: A new medication for migraine sufferers is known to be successful in 70% of cases. Jessica selects ten migraine sufferers to take part in the testing of the drug. Find the probability that: a) 2 people are cured b) no people are cured Click here to see answer by robertb(4012)

 Question 367570: On average, Loren can answer 2/3 of the questions in an exam paper on mathematics. If the exam paper contains five questions and a minimum of three correct answers in required to pass, find the probability that Loren will pass the exam. Click here to see answer by Theo(3458)

 Question 367789: Determine the level of the confidence given the confidence coefficient z(α/2) for each situation: z(α/2) = 1.96 Click here to see answer by ewatrrr(10682)

 Question 367809: An economics class is comprised of 7 female and 4 male students. If the instructor of the class randomly chooses 5 students from the class for an oral exam, what is the probability that 3 female students and 2 male students will be selected? Click here to see answer by edjones(7569)

 Question 367822: What is the alternative hypothesis? A consumer protection service will accuse a company of fraudulant claims if their evidence indicates that the true bulb life is not 25 hours? Is it <25 or not equal to 25? Click here to see answer by neatmath(300)

 Question 367953: Eight people are entered in a race. If there are no ties, in how many ways can the first two places come out? Click here to see answer by robertb(4012)

 Question 367943: We're just getting into statistics and my teacher is very helpful, but I'm still having a bit of trouble understanding how to set up a probability question for this problem: "Probability and Odds for Drawing a Card - For the experiment of drawing a single card from a standard 52-card deck, find (a) the probability, and (b) the odds in favor, of each event." The specific question I'm asking about is the probability and odds of drawing a "Spade or Face Card." I'm not wanting someone do just do it for me, but rather show how to write it to solve, ex: P(Spade or Face card), and kind of explain it from there (what to do with the variables in the parenthesis, etc). Thank you! Click here to see answer by solver91311(16868)

 Question 367896: The following data gives the heights (in feet) of eruptions of Old Faithful in Yellowstone National Park. 140 154 140 140 160 140 150 150 160 155 125 136 140 155 130 125 125 139 125 140 140 135 141 140 139 110 140 135 140 135 140 139 100 105 130 135 131 135 153 155 140 150 153 120 Use the data from this sample to construct a 95% confidence interval for the proportion of Old Faithful eruptions that exceed 140 feet in height. n= p= q= Za/2= E= Interval: Click here to see answer by stanbon(57224)

 Question 368015: a bag contains 12 red marbles, 5 yellow marbles, and 15 green marbles. how many additional red marbles must be added to the 32 marbles already in the bag so that the probability randomly drawing a red is 3/5 A: 13 B: 18 C: 28 D: 32 E: 40 Click here to see answer by edjones(7569)

 Question 368065: Three cards are drawn from an ordinary deck of 52 cards without replacement. What is the probability that the second and third cards are spades if the first card was not a spade? Click here to see answer by checkley77(12569)
 Question 368065: Three cards are drawn from an ordinary deck of 52 cards without replacement. What is the probability that the second and third cards are spades if the first card was not a spade? Click here to see answer by edjones(7569)

 Question 368048: Solve the equations using any method. Simplify as much as possible. There may be more than one solution, or there may be none. log(base 2)(X)=log(base 2)(5)-log(base 2)(x+2) Click here to see answer by stanbon(57224)

 Question 368125: a sales firm receives an average of four calls per hour on its toll free number for any given hour find the probability that it will recieve exactly nine calls use the poisson distribution Click here to see answer by robertb(4012)

 Question 368222: How do you solve: Powerball is played where for \$1 you choose 5 out of 59 balls and you choose one powerball out of 39 balls. Show the nCr notation and your result. a) How many ways to hit all 5 and the powerball? Thank you! Click here to see answer by stanbon(57224)

 Question 368220: A die is rolled twice What is the probability of getting a sum greater than or equal to ten. Click here to see answer by Edwin McCravy(8880)

 Question 368242: A box contains 17 yellow, 29 green and 36 red jelly beans. If 12 jelly beans are selected at random, what is the probability that: a) 10 are yellow? b) 10 are yellow and 1 are green? c) At least one is yellow? Click here to see answer by robertb(4012)

 Question 368252: An instructor gives his class a set of 17 problems with the information that the next quiz will consist of a random selection of 6 of them. If a student has figured out how to do 13 of the problems, what is the probability the he or she will answer correctly (a) all 6 problems? Click here to see answer by solver91311(16868)

 Question 368236: uppose two cards are selected from a standard deck of cards including the jokers for a total of 54 cards. The cards are drawn without replacement. Find the probability two face cards are drawn in a row. Express your answer as a fraction. Click here to see answer by Fombitz(13828)

 Question 368245: What is the probability that a positive integer m in the range 1 Click here to see answer by Fombitz(13828)

 Question 368382: For the table that follows, answer the following questions: x y 1 1/3 2 2/3 3 1 4 Determine whether each of the distributions given below represents a probability distribution. Justify your answer. (A) x 1 2 3 4 P(x) 0.01 7/12 1/12 1/4 (B) x 3 6 8 P(x) 0.24 3/5 0.135 (C) x 20 30 40 50 P(x) 0.33 0.02 -0.04 0.69 - Would the correlation between x and y in the table above be positive or negative? - Find the missing value of y in the table. - How would the values of this table be interpreted in terms of linear regression? - If a “line of best fit” is placed among these points plotted on a coordinate system, would the slope of this line be positive or negative? Click here to see answer by Fombitz(13828)

 Question 358643: For the table that follows, answer the following questions:x x y 1 -1/4 2 -1/2 3 -3/4 4 - Would the correlation between x and y in the table above be positive or negative? - Find the missing value of y in the table. - How would the values of this table be interpreted in terms of linear regression? - If a “line of best fit” is placed among these points plotted on a coordinate system, would the slope of this line be positive or negative? Click here to see answer by stats(1)
 Question 358643: For the table that follows, answer the following questions:x x y 1 -1/4 2 -1/2 3 -3/4 4 - Would the correlation between x and y in the table above be positive or negative? - Find the missing value of y in the table. - How would the values of this table be interpreted in terms of linear regression? - If a “line of best fit” is placed among these points plotted on a coordinate system, would the slope of this line be positive or negative? Click here to see answer by Fombitz(13828)

 Question 368391: please I need your help in this question joe and bob each have a deck playing cards. Each flips over a randomly selected card . Assume that all pairs of cards are equally likely to be drawn . Determine the following probabilities. a. the probability that at least one card is ace. b. the probability that the two cards are of the same suit (spade). c. the probability that neither card is a diamond nor club. Click here to see answer by ewatrrr(10682)

 Question 368377: which two have the same probability rolling a sum of 9 on two fair six sided dice drawing the Queen of Diamonds out of a standard 52 card deck given it’s a face card. rolling a sum of 11 on two fair six sided dice drawing a king out of a standard 52 card deck given it’s a face card. rolling a sum of 10 on two fair six sided dice Click here to see answer by ewatrrr(10682)

 Question 368441: I a coin were tossed four times, the probability that the coin will land on heads at least one of four times would be 7/16. True/ False? Click here to see answer by Fombitz(13828)

 Question 368459: An automobile dealer wants to construct a pie graph to represent types of cars that were sold in July. He sold 72 cars, 20 of which were convertibles. The convertibleswill represent how many degrees in the circle? Click here to see answer by ewatrrr(10682)

 Question 368494: A test consists of 10 true-or-false questions. An answer is randomly chosen for each question. What is the probability of answering exactly 4 questions correctly? Click here to see answer by Fombitz(13828)
 Question 368494: A test consists of 10 true-or-false questions. An answer is randomly chosen for each question. What is the probability of answering exactly 4 questions correctly? Click here to see answer by ewatrrr(10682)

 Question 368489: There are 7 girls and 6 boys in a class. Suppose five children are chosen randomly to decorate the room. What is the probability that exactly two boys are chosen? Click here to see answer by ewatrrr(10682)

 Question 368486: There are 7 girls and 6 boys in a class. Suppose five children are randomly chosen to decorate the room. What is the probability that at least one boy is chosen? Click here to see answer by ewatrrr(10682)

 Question 368581: what is the largest multiple of 12 that can be written using each 0, 1,2,3,4,5,6,7,8,9 exactly once? Click here to see answer by jim_thompson5910(28476)
 Question 368581: what is the largest multiple of 12 that can be written using each 0, 1,2,3,4,5,6,7,8,9 exactly once? Click here to see answer by Edwin McCravy(8880)

 Question 368498: If you play a game that consists of rolling a single fair die and pays off at \$3.00 for a 6 \$2.00 for a 5 \$1.00 for a 4 And no payoff otherwise, what is a fair price to pay to play this game. I got the expected winnings part of the question but, I am having trouble figuring out the fair price to play. Click here to see answer by solver91311(16868)

 Question 368708: A bag contains green and yellow color tiles. You pick two tiles at random with out replacing the first one. The probability that the first tile is yellow is 3 to 5. The probability of drawing two yellow tiles is 12 to 35. Find the probability that the second tile you pick is yellow. Click here to see answer by stanbon(57224)

 Question 368750: In the department of education at UR university, student records suggest that the population of students spends an average of 5.5 hrs per week playing organized sports. The population's standard deviation is 2.2 hrs per week. Based on a sample of 121 students, healthy lifestyles Inc. (HLI) would like to apply the central limit theorem to make various estimates. Compute the standard error of the sample mean what is the chance HLI will find a sample mean between 5 and 6 hrs? calculate the probability that the sample mean will be between 5.3 and 5.7 hrs how strange would it be to obtain a sample mean greater than 6.5 hrs? Click here to see answer by stanbon(57224)

 Question 368776: Which of the following statements are correct? a. A normal distribution is any distribution that is not unusual. b. The graph of a normal distribution is bell-shaped. c. If a population has a normal distribution, the mean and the median are not equal. d. The graph of a normal distribution is symmetric. Click here to see answer by neatmath(300)

 Question 368845: a box contains 25 transistors 6 of which are defective. if 6 are selected at random find the probability that A) all are defective B) none are defective Click here to see answer by fractalier(2101)

 Question 368841: You figure the variance of a distribution of scores to be -4.26. Explain why your answer cannot be correct.” Click here to see answer by neatmath(300)

 Question 368867: a box contains 25 transistors 6 of which are defective. if 6 are selected at random find the probability that b) none are defective the answer is .153% but i dont know how to get it Click here to see answer by Fombitz(13828)
 Question 368867: a box contains 25 transistors 6 of which are defective. if 6 are selected at random find the probability that b) none are defective the answer is .153% but i dont know how to get it Click here to see answer by scott8148(6628)

 Question 368773: Which of the following statements are correct? a. A normal distribution is any distribution that is not unusual. b. The graph of a normal distribution is bell-shaped. c. If a population has a normal distribution, the mean and the median are not equal. d. The graph of a normal distribution is symmetric. Click here to see answer by edjones(7569)

 Question 368890: suppose willie comes up to bat twice in a certain game. what is the probability that he'll get a hit both times ? Click here to see answer by robertb(4012)

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