# 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 290753: A bag contains 5 red marbles, 4 blue marbles, and 1 green marble. If a marble is selected at random, what is the probability that is is not blue? Click here to see answer by richwmiller(9135)

 Question 290759: A fair die is rolled. What is the probability of rolling a 3 or 5? Click here to see answer by stanbon(57223)

 Question 290756: A bag contains 9 red marbles, 8 blue marbles, and 6 green marbles. What is the probability that a randomly selected marble is blue? Click here to see answer by richwmiller(9135)

 Question 290758: 11.24 In a bumper test, three types of autos were deliberately crashed into a barrier at 5 mph, and the resulting damage (in dollars) was estimated. Five test vehicles of each type were crashed, with the results shown below. Research question: Are the mean crash damages the same for these three vehicles? Crash Damage (\$) Goliath Varimint Weasel 1600 1290 1090 760 1400 2100 880 1390 1830 1950 1850 1250 1220 950 1920 Click here to see answer by stanbon(57223)

 Question 290754: a radio manufacturer claims that 65% of teenagers 13 to 16 years old have their own portable radios. A researcher wishes to test the claim and selects a random sample of 80 teeagers.She finds that 57 have their own portable radios. at a=0.05 sould the claim be rejected?use te P=value method. Please help Click here to see answer by stanbon(57223)

 Question 290771: If the probability that an identified hurricane will make a direct hit on a certain stretch of beach is 0.01, what are the odds against a direct hit? Click here to see answer by richwmiller(9135)

 Question 290775: There are only black and white balls in two boxes. if one ball is drawn from the first box the probability that it is black is 1/3,while for the second box, it is 2/5. If all the balls are put into one box, the probability of drawing a black ball is 14/39, If there are 16 white balls in the first box, how many black balls are there in the second box?(i need answer with fuu solution. Click here to see answer by cynshae(2)

 Question 290819: Problem: For a wedding, Shereda bought several dozen roses and several dozen carnations. The roses cost \$15 per dozen, and the carnations cost \$8 per dozen. Shereda bought a total of 17 dozen flowers and paid a total of \$192. How many roses did she buy? *I am totally lost on the question and not even sure where i should start.* Click here to see answer by richwmiller(9135)

 Question 267657: A manufacturer makes ball bearings that are supposed to have a mean weight of 30 g. A retailer suspects that the mean weight is not 30 g and wants to verify that the product is meeting specifications. The mean weight for a random sample of 16 ball bearings is 29.5 g with a standard deviation of 4.1 g. At the 0.05 significance level, test the claim that the mean is not 30 g. You may assume the weights are normally distributed. Click here to see answer by bosley5580(1)

 Question 290887: There are 16 desks. Suppose you arrange them in rows of 4. How many seating arrangements are there that put Larry, Moe, Curly and Shemp in the front seats? Click here to see answer by missy12(3)

 Question 290880: In a box, there are five balls. Three are red and two are white. Three balls are drawn without replacement. Find the probability of drawing a white ball followed by two red balls. Click here to see answer by checkley77(12569)

 Question 290906: Dear Tutor, I have always had trouble with probability, and I am faced with the following question: Delta Airlines quotes a flight time of 2hrs and 5 minutes for its flights from Cincinnati to Tampa. Suppose we believe that actual flight times are uniformly distributed between 120 to 140 minutes. a. What is the probability that the flight will be more than 10 minutes late? b. What is the expected flight time? If you could answer one, or both parts of this question I would greatly appreciate it!!! Thank you Click here to see answer by stanbon(57223)

 Question 289734: If you have 12 eggs, 3 of which are cracked, and you choose 5, what is the probability of 1) choosing all 3 cracked 2) choosing no cracked and 3) choosing 2 cracked. Click here to see answer by stanbon(57223)

 Question 290944: a machine that fills quart milk is set up to average 32.2 oz per carton, with a standard deviation of 1.2 oz. assuming the distribution is normal find the following: if five cartons are selected at random, what proportion will have less than 32oz of milk? Click here to see answer by stanbon(57223)

 Question 291006: 1. If a null hypothesis is not rejected at the 0.10 level, it may be rejected at the 0.05 level. a. True b. False Click here to see answer by richwmiller(9135)

 Question 290904: Could you please help me with this problem? I do not understand how to find the probability: A retailer received 6 VCR's from the manufacturer of which 3 were damaged during shipment. Two VCRS were sold. What is the probability that one of the customers recieved a damaged VCR? Many thanks!! Click here to see answer by dabanfield(803)

 Question 291041: The letters of the word Mississippi are placed in a hat. What is the probability that the first two letters drawn are both i if the first letter drawn is not replaced? Click here to see answer by nerdybill(6948)

 Question 291072: How many different selections of 3 cards can be made from 12 face cards? Click here to see answer by richwmiller(9135)

 Question 291113: An insurance company insures your baseball card collection, worth \$20,000, for an annual premium of \$300. The company figures that the probablity of the collection being stolen is .002. Based on this, what is the companys expected profit? Click here to see answer by brucewill(101)

 Question 291119: there are 10 women and 8 men in a club. how many different committees of six people can be selected from the group if equal numbers of men and women are to be on the committee. thank you for the help Click here to see answer by Edwin McCravy(8880)

 Question 291147: you have 3 nickels, 2 dimes, and 5 quarters and choose three of these in succession. find the probability of selecting 1 nickel, 1 dime, and 1 quarter, in any order with replacement. Click here to see answer by Edwin McCravy(8880)

 Question 291236: If two dice are rolled at the same time what is the probability that the two upturned numbers will equal 7? What is the probability they will be less than seven? Click here to see answer by Fombitz(13828)

 Question 291273: Of the 400 students at a school, 35% have part-time jobs. Find the probability that two students selected at random have part-time jobs. Hello, I'm not sure what to do in this one. I was thinking maybe using a combination or permutation would work but I am just dumb founded. Thank you for your help. Click here to see answer by stanbon(57223)

 Question 291207: What is the probability that 6 people in 10 will agree on 7 out of 10 random answers, where the answer can be either a "yes" or a "no"? Click here to see answer by stanbon(57223)

 Question 291004: #3 (#23 e-text) Raising chickens in commercial chicken farms is a growing industry, as there is a shift from red meat to more white meat. New Jersey Red Chickens are a favorite chicken and the Feed is Us company has a new chicken food that they claim is excellent for increasing weight and naturally it costs more. You have heard this line before and therefore are skeptical but the potential pay off is huge. You buy a small amount and feed it to ten chickens, which you choose at random. Chicken Weights 4.41 4.37 4.33 4.35 4.30 4.39 4.36 4.38 4.40 4.39 At the .01 level of significance is there evidence that the chicken weight exceeds the average chicken weight of 4.35 pounds. Click here to see answer by stanbon(57223)

 Question 291491: What is the probability that when a die is cast that a prime number is shown? (1 is not prime) Click here to see answer by edjones(7569)

 Question 291604: Assuming that all numbers in a phone book are randomly selected. What would you expect the mean of the last four digits to be? Click here to see answer by Edwin McCravy(8880)

 Question 291560: Select a company of your choice and collect the financial statements of that company for past 3 years. Calculate the ratios which are relevant to the working capital management of that company Click here to see answer by richwmiller(9135)

 Question 291591: Why do so many of life’s events share the same characteristics as the central limit theorem? Why are estimations and confidence intervals important? When might systematic sampling be biased? Explain. What roles do confidence intervals and estimation play in the selection of sample size? Click here to see answer by richwmiller(9135)

 Question 291559: XYZ Ltd. plans to sell 30,000 units next year. The expected cost of goods sold is as follows: (Rs. per unit) Raw material Manufacturing expenses Selling, administration & financial Exp. Selling price 100 30 20 200 The duration at various stages of the operating cycle is expected to be as follows: Raw materials stage Work-in-process stage Finished goods stage Debtors stage 2 months 1 month ˝ month 1 month You are required to: (i) calculate the investment in various current assets, and (ii) Estimate the gross working capital requirement if the desired cash balance is 5% of the gross working capital requirements. Click here to see answer by richwmiller(9135)

 Question 291606: suppose you are playing a game in which 2 fair die are rolled. you need a 9 to land on finish by an exact count or a 3 to land on "roll again" space. what is the probability of landing on the finish or rolling again. explain in detail. Click here to see answer by stanbon(57223)

 Question 291590: H0: µ ≤ 10 H1: µ > 10 The sample mean is 12, and the sample size is 36. The population follows the normal distribution and the standard deviation is 3. Use a .02 significance level. Click here to see answer by stanbon(57223)

 Question 291569: Because 10% of the reservation holders are 'no shows' a Canadian airline sells 400 tickets for a flight that can accommodate 375 passengers. a) Find the probability that one or more reservation holders will not be accomodated on the flight. b) Find the probability of fewer than 350 passengers on the flight. Click here to see answer by stanbon(57223)

 Question 291632: The access code for a garage door consists of three digits. Each digit can be 2 through 8 and each digit can be repeated. 1) The number of possible access codes is? 2) The probability of randomly selecting the correct access code is (rounded to the nearest thousandth)? 3) The probability of not selecting the correct access code is (round to the nearest thousandth)? Click here to see answer by Alan3354(30965)

 Question 291630: The access code for a car's security consists of four digits. The first digit cannot be 3 and the last digit must be odd. 1) How many diff codes are available? Click here to see answer by Fombitz(13828)

 Question 292053: The following hypotheses are given. H0: p = 0.40 H1: p ≠ 0.40 A sample of 120 observations revealed that p = 0.30 At the 0.05 significance level, can the null hypothesis be rejected? a. State the decision rule. b. Compute the value of the test statistic. c. What is your decision regarding the null hypothesis? Click here to see answer by stanbon(57223)

 Question 291889: Suppose you select 2 letters at random from the word "pacific". find each probability P(2 vowels) P(2 consonants) P(1 vowel, 1 consonant) Click here to see answer by stanbon(57223)

 Question 291857: A room contains five men and four women. Two people are selected at random with no replacements between selections. 1. Find the probability that the first person selected is a man and the second is a woman. 2. Find the probability that all the people selected are men. 3. Find the probability that the second person selected is a woman, given that the first to be selected was a woman. 4. Find the probability that one man and one woman are selected. Click here to see answer by stanbon(57223)

 Question 291796: You are dealt 2 cards from a shuffled deck of 52 cards, without replacement. There are four suits of 13 cards each in a deck of cards; two of them are black and two of them are red. What is the probability that both cards are red? Click here to see answer by stanbon(57223)

 Question 291794: In a battleground state, 36% of all voters are Republicans. Assuming that there are only two parties - Democrat and Republican, if two voters are randomly selected for a telephone survey, what is the probability that they are both Republicans? Click here to see answer by stanbon(57223)

 Question 291741: Results from previous studies showed 79% of all high school seniors from a certain city plan to attend college after graduation. A random sample of 200 high school seniors from this city reveals that 162 plan to attend college. Does this indicate that the percentage has increased from that of previous studies? Test at the 5% level of significance. What is the p-value associated with your test of hypothesis? Click here to see answer by stanbon(57223)

 Question 292088: If you are given S (1;2;3;4;5;6) describe the event A than the number of points rolled with a dice is exactly divisible by three. Click here to see answer by stanbon(57223)

 Question 291717: You have 2 blue socks, 8 white socks, and 4 gray socks. What is the probability of drawing 2 gray socks Click here to see answer by stanbon(57223)

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