# 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 472647: At a local college the business students run an investment club. Each fall they create investment portfolios in multiples of \$1,000 each. Records from the past several years show the following probabilities of profits. In the list below, x = profits per \$1,000 and P(x) = probability of earning that profit. Find the expected value of the profit in a \$1000 portfolio. x----------P(x) 0-------- 0.15 50--------0.35 100-------0.25 150-------0.20 200-------0.05 \$81.00 \$81.50 \$82.00 \$82.50 Click here to see answer by robertb(4012)

 Question 472645: A biologist is studying a new hybrid squash. She knows the probability of this hybrid germinating is 0.70. In a controlled environment she plants 12 seeds. What is the probability that exactly 8 seeds will germinate? Determine the values of n, p,q, and r. Click here to see answer by robertb(4012)

 Question 472644: There are twelve cars in a parking lot on a very cold day. Suppose the probability of any one of the cars not starting is 0.13. What is the probability that exactly three of the cars do not start? Round answer to the nearest thousandth Click here to see answer by edjones(7569)

 Question 472705: Suppose the probability of rain on Saturday is 25% and the probability of rain on Sunday is 75%. What is the probability it will rain on the weekend? Click here to see answer by richard1234(5390)

 Question 472642: A number cube is rolled and a coin is flipped. If the number cube shows and odd number, or the coin shows tails, or both, you get 6 points. If neither event occurs, you get 4 points. What is the expected value of this game? Click here to see answer by edjones(7569)

 Question 472624: Write the following in summation notation: 3/4 + 6/9 + 9/16 +12/25 +15/36 +18/49 Click here to see answer by robertb(4012)

 Question 472539: a toaster oven functions properly 75% of the time. in 50 uses what is the probability that the toaster over will work properly 50 times Click here to see answer by robertb(4012)

 Question 472614: Can someone please help with this problem. A bag contains 6 purple marbles, 7 azure marbles and 10 orange marbles. What is the chance of drawing a purple marble? If a purple marble is drawn then placed back into the bag, and a second marble is drawn, what is the probability of drawing an orange marble? Give solutions exactly in reduced fraction form. Click here to see answer by edjones(7569)

 Question 472540: the probability of passing a class is 60%. what is the probability that 10 out of 20 students pass the class Click here to see answer by robertb(4012)

 Question 472698: Please help me. A word consist of 5 consonants and 4 vowels. Three letters are selected at random. What is the probability of having more than one vowel? Click here to see answer by edjones(7569)

 Question 472559: The average value of a distribution is 150. If the standard deviation is 25, what percentage of the distribution lies within 100 and 200? Click here to see answer by robertb(4012)

 Question 472373: x 1 2 3 4 P(x) 0.3 1/5 1/5 3/10 x 3 6 8 P(x) 0.2 3/5 3/10 x 20 30 40 50 P(x) 0.1 0.1 0.5 0.3 Determine whether each of the distributions given below represents a probability distribution. Justify your answer. Click here to see answer by robertb(4012)

 Question 472596: Sleep apnea is a condition involving irregular breathing during sleep. Suppose that about 20% of a random sample of n = 64 men experience sleep apnea. What is the standard error of the sample proportion? a. 0.125 b. 0.05 c. 0.10 d. 0.20 Click here to see answer by robertb(4012)

 Question 472758: 8. One thousand raffle tickets are sold for \$1.00 each. One grand prize of \$200 and two consolation prizes of \$50 each will be awarded. Jeremy purchases one ticket. Find his expected value. Show your work for full credit. Click here to see answer by Theo(3460)

 Question 472786: Help!!! I got the first part, but am having trouble with the rest. Lauren attended her 10th high school reunion. Of the 74 people present, she observed that 37 were married and in their first marriage, 23 were married and in their second marriage, and 14 were currently single. (to three decimal places.) (a) If one person is selected at random from the group, find the probability that it is a single person. For a I got a correct answer of 0.189, but I can't figure out how to get the rest :( (b) If two people are selected at random, find the probability that both are in their second marriage. (c) If three people are selected at random, find the probability that two are in their first marriage and one is single. Click here to see answer by stanbon(57323)

 Question 472789: Please help with process?! A hand of 13 cards is dealt at random from a bridge deck of 52 cards. Find the probability that the hand contains 4 Queens. (to four decimal places.) Click here to see answer by stanbon(57323)

 Question 472787: The letters of DIRECTOR are arranged at random. What is the probability of vowels occupying ONLY even places. Kindly provide the detailed explanation. Click here to see answer by Edwin McCravy(8908)

 Question 472801: Help please! For Faculty Appreciation Day, the Faculty Club Lunch Room asked each faculty member to leave a business card in a container. At the end of lunch a card would be drawn, and that faculty member would be given free lunches for a week. Eighty-eight faculty left a card, including 5 mathematics faculty, 11 history faculty, and 2 chemistry faculty. Find the probability of the following. (to three decimal places.) (a) The card drawn was for a mathematics faculty member. (b) The card drawn was for a chemistry faculty member. (c) The card drawn was for a history faculty member. (d) The card drawn was for a mathematics or chemistry faculty member. Click here to see answer by sudhanshu_kmr(1152)

 Question 472828: Assume that an event A contains 10 observations and event B contains 15 observations. If the intersection of events A and B contains exactly 3 observations, how many observations are in the union of these two events? A. 0 B. 10 C. 22 D. 28 Click here to see answer by sudhanshu_kmr(1152)
 Question 472828: Assume that an event A contains 10 observations and event B contains 15 observations. If the intersection of events A and B contains exactly 3 observations, how many observations are in the union of these two events? A. 0 B. 10 C. 22 D. 28 Click here to see answer by ewatrrr(10682)

 Question 472827: A credit card company decides to study the frequency with which its cardholders charge for items from a certain chain of retail stores. The data values collected in the study appear to be normally distributed with a mean of 25 charged purchases and a standard deviation of 2 charged purchases. Out of the total number of cardholders, about how many would you expect are charging 17 or more purchases in this study? A. 94.8% B. 68.3% C. 47.8% D. 15.9% Click here to see answer by stanbon(57323)

 Question 472823: The possible values of x in a discrete probability distribution of the integers 1 to 20. If all values of x are equally likely, using the appropriate formula, solve for P(4<=x<=16). A.0.05 B. 0.15 C.0.60 D. 0.65. Click here to see answer by solver91311(16877)

 Question 472825: The possible values of x in a certain continuous probabliity distribution consist of the infinite number of values between 1 and 20. Solve for P(=4). A. 0.00 B. 0.02 C. 0.03 D. 0.05 Click here to see answer by stanbon(57323)

 Question 472848: A 2 sided coin is unfairly weighted so when its tossed, the probability that heads will result is twice the probability that tails will result. If the coin is tossed 3x, what is the probability that tails will result exactly 2 times? Click here to see answer by stanbon(57323)

 Question 472820: how do you use an algebra expression to solve the pick-3 and the pick-4 lottery outcome in the united states lottery system ? please e-mail me at : egarmi9@yahoo.com thanks very much Click here to see answer by Alan3354(30993)

 Question 472861: the little lotto asks to select five numbers from the numbers one through 45. how many different sets of five numbers can you select?? Click here to see answer by Alan3354(30993)

 Question 472868: I have no idea how to compute this. My txtbook doesn't help. please help me!!! Compute P(E | F) and P(F | E). (to three decimal places.) P(E) = 0.70, P(F) = 0.30, P(E ∩ F) = 0.24 P(E | F)= P(F | E)= Click here to see answer by stanbon(57323)
 Question 472868: I have no idea how to compute this. My txtbook doesn't help. please help me!!! Compute P(E | F) and P(F | E). (to three decimal places.) P(E) = 0.70, P(F) = 0.30, P(E ∩ F) = 0.24 P(E | F)= P(F | E)= Click here to see answer by ewatrrr(10682)

 Question 472872: Say you play the lottery you have to pick 7 numbers between 1-42 the possibilies for pick the 7 numbers are 26,997,328. What is the forumla to find out the possibilitise? Click here to see answer by Alan3354(30993)

 Question 472898: Suppose a company that makes radios is interested in quality control of their factory. As a batch of product goes by on the assembly line, they randomly select two radios from each batch to inspect for defects. Now suppose for a particular batch tested there are 3 defective radios and 15 good radios. What is the probability that at least one of the radios selected for testing will be defective? Click here to see answer by stanbon(57323)

 Question 472908: round carpet in the center of a room has a diameter of 32 cm. The room is 300 cm × 500 cm. The probability of dust landing in the room, but not on the carpet, is 99.5% i would say this statement is true do you agree? Click here to see answer by Theo(3460)

 Question 472906: An apple with a diameter of 6.3” (assume the shape of a sphere) has a “bruise” with an area of 1 square inch. What is the probability of biting into the bruise? (Area of a sphere = 4) when i do this i don't get any of these choices. choices: 2.5% 0.75% 1.5% 0.20% Click here to see answer by Alan3354(30993)
 Question 472906: An apple with a diameter of 6.3” (assume the shape of a sphere) has a “bruise” with an area of 1 square inch. What is the probability of biting into the bruise? (Area of a sphere = 4) when i do this i don't get any of these choices. choices: 2.5% 0.75% 1.5% 0.20% Click here to see answer by Theo(3460)

 Question 472909: A plate, a dish and a cup are on a table. The plate is square with a side 30 cm long. The dish is 20 cm in diameter, and the cup has a 15 cm diameter. What is the probability of tossing a grape into the cup and not onto the plate or the dish? 13.4 14.6 15.6 12.7 i am doing something wrong because i dont come up with one of the choices. Click here to see answer by stanbon(57323)
 Question 472909: A plate, a dish and a cup are on a table. The plate is square with a side 30 cm long. The dish is 20 cm in diameter, and the cup has a 15 cm diameter. What is the probability of tossing a grape into the cup and not onto the plate or the dish? 13.4 14.6 15.6 12.7 i am doing something wrong because i dont come up with one of the choices. Click here to see answer by solver91311(16877)

 Question 472922: 1) A recent study of 750 internet users in Europe found that 260 of internet users were women. What is the 95% confidence interval of the true proportion of women in Europe who use the internet? 2) A survey of 800 women shoppers found that 17% of them shop on impulse. What is the 98& confidence interval for the true proportion of women shhoppers who shop on impulse? Click here to see answer by stanbon(57323)
 Question 472922: 1) A recent study of 750 internet users in Europe found that 260 of internet users were women. What is the 95% confidence interval of the true proportion of women in Europe who use the internet? 2) A survey of 800 women shoppers found that 17% of them shop on impulse. What is the 98& confidence interval for the true proportion of women shhoppers who shop on impulse? Click here to see answer by edjones(7569)

 Question 472911: 3% of the time a baseball player gets a double. 13% of the time a baseball player gets a single. 6% of the time a baseball player gets a home run, and 20% of the time the baseball player strikes out. If the baseball player's batting average is 30%, what is the probability that the baseball player will get a hit or will strike out 10% 75% 20% 50% help Click here to see answer by edjones(7569)

 Question 472893: Suppose a company that makes radios is interested in quality control of their factory. As a batch of product goes by on the assembly line, they randomly select two radios from each batch to inspect for defects. Now suppose for a particular batch tested there are 3 defective radios and 15 good radios. What is the probability that at least one of the radios selected for testing will be defective? Click here to see answer by edjones(7569)

 Question 472899: Suppose you are testing 10 items that you manuafactured to see if there are any defected items. If the probability of an item being defective is .01, what is the probability that 2 out of the 10 are defective? Click here to see answer by edjones(7569)

 Question 472799: Help! A French professor gives Sections 1 and 2 of a French course the same passage to translate. Section 1 has 24 students, and 7 translate the passage correctly. Section 2 has 21 students, and 8 translate the passage correctly. (to three decimal places. (a) If one of the papers is selected at random, what is the probability that it is a correct translation? (b) One of the papers is selected and is known to be from Section 1. What is the probability that it is a correct translation?  (c) A paper is selected and is known to be a correct translation. What is the probability that it is from Section 2? Click here to see answer by scott8148(6628)

 Question 472858: 32. Information from the American Institute of Insurance indicates the mean amount of life insurance per household in the United States is \$110,000. This distribution follows the normal distribution with a standard deviation of \$40,000. a. If we select a random sample of 50 households, what is the standard error of the mean? b. What is the expected shape of the distribution of the sample mean? c. What is the likelihood of selecting a sample with a mean of at least \$112,000? d. What is the likelihood of selecting a sample with a mean of more than \$100,000? e. Find the likelihood of selecting a sample with a mean of more than \$100,000 but less than \$112,000. Click here to see answer by edjones(7569)

 Question 472972: The random variable for a Poisson probability distribution can assume an infinite number of values. Click here to see answer by robertb(4012)

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