# 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 378057: Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. μ = 110; σ = 14 P(x ≥ 120) = Click here to see answer by robertb(4012)

 Question 378123: if you are dealt five cards from a shuffled deck of 52 cards find the probability that all five cards are picture cards. Click here to see answer by Fombitz(13828)

 Question 378125: there are 37 chocolates in a box all identically shaped. there are 10 filled with nuts 12 with carmel and 15 solid chocolates .you randomly select one piece eat it and then select a second piece. find the probability of selecting 2 solid chocolates in a row. Click here to see answer by stanbon(57224)

 Question 378059: Find z such that 70% of the standard normal curve lies to the left of z. z = Click here to see answer by stanbon(57224)

 Question 378115: in a box there are 8 red, 7 blue and 6 green balls. one ball is picked up randomly. what is the probability that it is neither red nor green? Click here to see answer by Fombitz(13828)
 Question 378115: in a box there are 8 red, 7 blue and 6 green balls. one ball is picked up randomly. what is the probability that it is neither red nor green? Click here to see answer by stanbon(57224)

 Question 378054: the Average (mean) size of homes built in the US in 1810 square feet. Assume that the population of homes are normally distributed witha standard deviation of 92 square feet.In a sample of 500 recently built homes, find the number of homes that will (hint: the samples size represent 100% of the data). I think is should be in graph form. Click here to see answer by stanbon(57224)

 Question 378158: a machine that manufacturers automobile parts is estimated to produce defective parts 8% of the time.If this estimate is correct, and 10 parts produced by this machine are randomly selected, what is the probabilty that few than 2 turn out to be defective. Click here to see answer by stanbon(57224)

 Question 378309: According to company reports, the current mix of colors for M&M dark chocolate candies is: 20% yellow, 10% red, 15% orange, 10% blue, 25% green, with the rest being brown. A. If a single piece is taken from a bag of 600 pieces, find the following probabilities: a. P (red) b. P (brown) c. P (blue or orange) d. P (NOT red) e. P (NOT brown) f. P (red and green) B. If two pieces are taken from a 600 piece bag, find the following probabilities: a. P (both are blue) b. P (the first is orange) c. P (first is red and the second is green) C. How would the process in problem #1A change if we are sampling from a “fun-size” bag which only has 12 pieces? D. How would the process in problem #1B change if we are sampling from a “fun-size” bag which only has 12 pieces? Click here to see answer by edjones(7569)

 Question 378363: In how many ways can 6 different books be arranged on a shelf? Click here to see answer by Alan3354(30967)

 Question 378393: An 6-sided die is rolled four times. What is the probability of rolling a six on all four rolls? Click here to see answer by Alan3354(30967)

 Question 378474: a number from 10 to 22 is drawen at random P( an odd number)express the probability as a decimel round to the nearest hundredth. Click here to see answer by solver91311(16868)

 Question 378462: Find the probability. Assume that the spinner is seperated into equal sections: you flip a coin and toss a 1-6 number cube P(3 and heads) Click here to see answer by robertb(4012)

 Question 378570: Calculate the probability of being dealt the following poker hand. (Recall that a poker player is dealt 5 cards at random from a standard deck of 52.) Express your answer as a decimal rounded to four decimal places. Click here to see answer by richard1234(5390)
 Question 378570: Calculate the probability of being dealt the following poker hand. (Recall that a poker player is dealt 5 cards at random from a standard deck of 52.) Express your answer as a decimal rounded to four decimal places. Click here to see answer by solver91311(16868)

 Question 378532: A positive interger,n, is picked at random between 1 and 500 (inclusive). Find the probability that the GCF of n and 60 is 12. Click here to see answer by robertb(4012)

 Question 378459: a jar contains 25 green,19white,6 pink, and 21orange marbles. A marble is drawn at random(white,pink,or green) express the probability as a fraction Click here to see answer by nyc_function(2733)

 Question 378733: A positive interger ,n, is picked at random. Find the probability that the GCF of n and 60 is 2. Find the probability that that the GCF of n and 60 is not 1. Click here to see answer by robertb(4012)
 Question 378733: A positive interger ,n, is picked at random. Find the probability that the GCF of n and 60 is 2. Find the probability that that the GCF of n and 60 is not 1. Click here to see answer by richard1234(5390)

 Question 378778: Suppose A and B are events (not necessarily mutually distinct) in a sample space S. If P(A^c) = 0.2 and P(B) = 0.6 and P(A^c ∪ Bc) = 0.45, what is P(A ∪ B)? what i did: P(A)= 1-P(A^c) also P(A)=P(A intersect B)+ P(A intersect B^c) I don't know how to get P(A intersect Bc) if i can get that i can get P(A ∪ B) by : P(A ∪ B) = P(A) + P(B) - P(A intersect B) Click here to see answer by jim_thompson5910(28476)

 Question 378780: A cooler contains 6 cans of Coke, 5 cans of Pepsi and 4 cans of RC Cola. Three cans are chosen at random, one after another, without replacement. What is the probability that the first two are both Coke? What is the probability that the second can is Coke but the first is not? What is the probability that at least one of the cans is Coke? What is the probability one of each kind of cola was chosen? Click here to see answer by robertb(4012)

 Question 378956: three babies are born in a family.find the probability 1...a family has 3 male babies given that all the 3 babies have same gender 2....a family has 2 male babies when it is known that first baby is male Click here to see answer by stanbon(57224)

 Question 379023: An ordinary (fair) die is a cube with the numbers through on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment. Compute the probability of each of the following events: Event : The sum is greater than 7 . Event : The sum is not divisible by 6. Write your answers as exact fractions. Click here to see answer by ewatrrr(10682)

 Question 378974: If the odds in favor of winning a game are 3:15. What are the odds against winning? What is the probability of winning? Click here to see answer by Fombitz(13828)

 Question 379230: If two fair dice are rolled, find the probability of the sum is 10 or both dice are odd. Click here to see answer by stanbon(57224)

 Question 379254: In the frequency distribution below,y represents age on last birthday for 40 people. Find the mean, median, mode, and range fory. y f 17 2 18 7 19 19 20 9 21 2 22 0 23 1 Click here to see answer by rfer(12646)

 Question 379308: if A and B are independent events P(a)=.4 and P(B)=.6 find P(A U B) Click here to see answer by robertb(4012)

 Question 379324: A book club offer a choice of 8 books from a list of 40. In how many ways can a member make a selection? Click here to see answer by stanbon(57224)

 Question 379337: What is the probability that 17 rolls of a die will show 7 fives? Is the formula 17C7 * (1.6)^7 * (5/6)^10 correct? Click here to see answer by robertb(4012)

 Question 379376: An organization raises a money by selling 3000 raffle tickets. Three prizes are winning 1500, 500, 250. 1. What is a 'fair price' to pay for a ticket? 2. If the organization charges the fair price. What is the profit made? Click here to see answer by edjones(7569)
 Question 379376: An organization raises a money by selling 3000 raffle tickets. Three prizes are winning 1500, 500, 250. 1. What is a 'fair price' to pay for a ticket? 2. If the organization charges the fair price. What is the profit made? Click here to see answer by stanbon(57224)

 Question 379314: you roll a number cube from 1 to 6 P(1) Click here to see answer by Fombitz(13828)

 Question 379525: In a carnival game a single die is rolled. If the number that shows on top is odd, you win that amount. If the number showing on top is even, you lose that amount. Construct a probability distribution for this game and find the expected value for a person playing this game. I have done a few of these, but this one throws me. Click here to see answer by robertb(4012)

 Question 379527: In a carnival game the player selects balls one at a time, without replacement, from a urn containing two red and four white balls. The game proceeds until a red ball is drawn. The player pays \$1 to play the game and receives \$0.50 for each ball drawn. Contruct a probability distribution table for the player's earnings for this game and find a player's expected value for this game. I do not have a clue how to do this, please helppppp.. The answer is \$0.17, but how... Click here to see answer by robertb(4012)

 Question 379162: A population of scores has a M=50. In this population, an X value of 58 corresponds to z=2.00. What is the population standard deviation Click here to see answer by ewatrrr(10682)

 Question 379519: A box contains 7 red apples and 5 yellow apples. Sue takes out one apple at random, notes its color, and puts it back into the box. Then she takes out a second apple at random, notes it color, and puts it back into the box. What are the chances that both apples are red? Click here to see answer by Fombitz(13828)

 Question 379521: A pair of dice is tossed and the larger of the two numbers showing is recorded. Find the expected value of this experiment. If both dice have the same number, use that number as the highest. The answer is 4.47, but how do you do it. It is a probability distribution table, but how?? Click here to see answer by Fombitz(13828)

 Question 379582: What is the probability that 17 rolls of a die will show 7 fives? Click here to see answer by ewatrrr(10682)

 Question 379319: A Bag contains 8 red, 10 white, and 4 blue marbles. Find the probability of obtaining a red or blue marble in a single draw. I can't seem to understand it because I'm not used to picking two different colors. Not sure what to do. Click here to see answer by ewatrrr(10682)

 Question 379323: A newspaper advertises six different concerts, four different plays, and two different basketball games. If a couple selects three activities at random, find the probability that they will attened: a. Three Concerts B. Two plays and one basketball game C One movie, one play, and one basketball game Click here to see answer by ewatrrr(10682)

 Question 379305: a number from 15 to 26 is drawn at random P(24)express the probabality as a percent. Click here to see answer by ewatrrr(10682)

 Question 379304: a number from 8 to 16 is drawn at random p(12) answer has to be a whole percent Click here to see answer by ewatrrr(10682)

 Question 379159: How many green elements are required to make this a legitimate probability distribution if there are a total of 50 elements in this sample? x red blue orange brown green P(x) 0.14(red) 0.16(blue) 0.28(orange) 0.24(brown) Click here to see answer by ewatrrr(10682)

 Question 379163: In testing a new drug, researchers found that 10% of all patients using it will have a mild side effect. A random sample of 14 patients using the drug is selected. Find the probability that: (A) exactly two will have this mild side effect (B) at least three will have this mild side effect. Click here to see answer by ewatrrr(10682)

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