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

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 Question 731105: A bag contains 12 red and 8 blue marbles. If you randomly select 2 marbles, what is the probability that they are the same color? I feel like this is an nPr or a nCr, but I am unsure. Click here to see answer by lynnlo(4176)

 Question 731056: For the period 1995 through 2008, obtain data on the average annual returns for U.S. stocks (represented by the S&P 500 Index) and long-term U.S. Treasury bonds. You can search this data from the Internet. • Create a scatter plot of the average returns for U.S. stocks (represented by the S&P 500 Index) and long-term U.S. Treasury bonds. • Compute the Pearson product-moment correlation coefficient (sample correlation coefficient) between these sets of returns. o Interpret the Pearson product-moment correlation coefficient. • Test the hypothesis that the null hypothesis is that rho (the population correlation coefficient) equals zero. o What does the test statistic equal? o Is the null hypothesis rejected? Click here to see answer by lynnlo(4176)

 Question 731115: Here is a fair dice. It has six faces 1,2,3,4,5 and 6. The dice is thrown three times. Work out the probability that the dice shows a score of 1 on exactly one of three throws. Click here to see answer by stanbon(69061)

 Question 731179: A family has 4 children. Find the probability that at least one child is a girl. Click here to see answer by stanbon(69061)

 Question 731180: A person randomly selects answers to all 10 questions on a multiple-choice quiz. Each question has 1 correct answer and 3 incorrect answers. Find the probability that at least 8 answers are correct. Click here to see answer by stanbon(69061)

 Question 731167: 1.a card is selected from a deck of 52 cards. what is the probability it is a queen? 2. in his pocket, jose has 5 dimes, 7 nickels, and 4 pennies. he selects 4 coins, without replacement. what is the probability that he selects 2 dimes and 2 pennies in that order? Click here to see answer by stanbon(69061)

 Question 731201: Based on past history, a batch of 40 new TVs is expected to have 20% defective units. Assuming no replacements, what is the probability that in a random sample of 3 TVs at least one of the 3 TVs is bad? Click here to see answer by stanbon(69061)

 Question 731186: A coin is flipped 8 times. Find the probability of flipping exactly 6 heads and 2 tails. Click here to see answer by stanbon(69061)

 Question 731197: dean cuts rope into 4 different lengths: 3 7/16 inches, 3.75 inches,3.85 inches,and 3 1/8 inches. which length is greater than 3.4 but less than 3 7/10? Click here to see answer by rfer(15570)

 Question 731333: A random variable X is standardized when each value of X has the mean of X subtracted from it, and the difference is divided by the standard deviation of X. True False Click here to see answer by foxylady68(1)

 Question 731746: you have an equally likely chance of choosing an integer from 1 through 20 find the probability of choosing and odd number Click here to see answer by lynnlo(4176)
 Question 731746: you have an equally likely chance of choosing an integer from 1 through 20 find the probability of choosing and odd number Click here to see answer by Alan3354(47455)

 Question 731763: Describe whether the following study would most likely be “observational” or “experimental”, and why it would be so. A survey examines the preferences for laundry detergent Click here to see answer by lynnlo(4176)

 Question 731759: A business has seven locations to choose from and wishes to rank only the top three locations. how many different ways can be done? Click here to see answer by lynnlo(4176)

 Question 731772: how many samples of size 5 are possible from a population size of 28? Click here to see answer by stanbon(69061)

 Question 731771: if 50 tickets are sold and 2 prizes are be awarded, the probability that one person will win 2 prize if that person buys 2 tickets. Click here to see answer by stanbon(69061)

 Question 731769: In a survey 63% of Americans said they own an answering machine. if 14 Americans are selected at the random. find the probability that exactly 9 own an answering machine. Click here to see answer by stanbon(69061)

 Question 731854: What is the probability that no more than twenty pay xin cash ? Click here to see answer by Alan3354(47455)

 Question 731888: The numbers 0 through 6 are used in code groups of four to identify an item of clothing. Code 1083 might identify a blue blouse, size medium. The code group 2031 might identify a pair of pants, size 18, and so on. Repetitions of numbers are not permitted, i.e., the same number cannot be used more than once in a total sequence. As examples, 2256, 2562 or 5559 would not be permitted. How many different code groups can be designed? Click here to see answer by Alan3354(47455)

 Question 731897: Factor by grouping. 50x2 – 50x – 12 Click here to see answer by Abdul Hannan(9)

 Question 731974: The expected value of a carnival game is -\$6.50, and the cost to play the game is \$10.00. Determine the fair price to play the game. Click here to see answer by stanbon(69061)

 Question 731998: assume that a person spins the pointer and is awarded the amount indicated by the pointer.If it cost \$2.00 to play the game. A)Determine the expectations of a person who plays the game. B)the fair price to play the game. The spinner has 1/2\$10 1/4\$1 1/4\$5 Click here to see answer by stanbon(69061)

 Question 732007: The owner of an antique store estimates that there is a 40% chance she will make \$2000 when she sells an antique china cabinet, a 50% chance she will make \$750 when she sells the cabinet, and 10% chance she will break even when she sells the cabinet. Determine the expected amount she will make when she sells the cabinet. Click here to see answer by stanbon(69061)

 Question 732018: YOUR REMOTE CONTROL HAS BUTTONS FOR DIGITS 0-9. IF YOU PRESS TWO BUTTONS, HOW MANY NUMBERS ARE POSSIBLE IF A) THE SAME BUTTONS MAY BE PRESSED TWICE B) THE SAME BUTTONS MAY NOT BE PRESSED TWICE Click here to see answer by Alan3354(47455)

 Question 732051: Find the probability that a 10 question multiple choice test has 4 possible answers for each question. A student selects at least 6 correct answers. Is it A.) 0.995 B.) 0.020 C.)0.118 D.) 0.989 Click here to see answer by Edwin McCravy(13211)

 Question 732029: Of the 2,598,960 different five-card hands possible from a deck of 52 playing cards, how many would contain the following cards? All four tens. Click here to see answer by Alan3354(47455)

 Question 731951: P(92 < x < 108) P(84 < x < 116) p(x <84) p(x>108) p(x<98) Click here to see answer by Edwin McCravy(13211)

 Question 731989: A person randomly selects one of the six envelopes shown below. Each envelope contains a check that a person gets to keep. Determine the person's expectation if four envelopes contain a \$1000 check and two envelopes contain a \$5000 check. Click here to see answer by lynnlo(4176)

 Question 731988: Assume that a person spins the pointer and is awarded the amount indicated by the pointer .Determine the person's expectation. The circle has- 1/2 circle is \$5 and 1/4 is \$1 and a 1/4 \$10 Click here to see answer by lynnlo(4176)

 Question 732016: If two dates are selected at random from the 365 days of the year, use the counting principal to determine the number of possible outcomes if the dates are selected A)WITH REPLACMENTS B) WITHOUT REPLACEMENTS Click here to see answer by lynnlo(4176)

 Question 732020: A COUPLE PLANS TO HAVE TWO CHILDREN. A) DETERMINE THE NUMBER OF POINTS IN THE SAMPLE SPACE OF THE POSSIBLE ARRANGEMENTS OF BOYS AND GIRLS. B) CONSTRUCT A TREE DIAGRAM AND LIST THE SAMPLE SPACE ASSUMING THAT BOYS AND GIRLS ARE EQUALLY LIKELY, DETERMINE THE PROBABLILITY THAT THE COUPLE HAS C) TWO GIRLS. D) AT LEAST ONE GIRL E) A GIRL AND THEN A BOY. Click here to see answer by lynnlo(4176)

 Question 732011: Don Vello is considering bringing a lawsuit against the Dummote Chemical company. His lawyer estimates that their is 70% chance Don will make \$60,000, a 10% chance Don will break even, and a 20% chance they will lose the case and Don will need to pay \$30,000 in legal fees. Estimate Don's expected gain or loss if proceeds with the lawsuits. Click here to see answer by lynnlo(4176)

 Question 731979: Ten thousand raffle tickets are sold for \$5 each. Four prizes will be awarded: one for \$5,000, one for \$2500 and two for \$1000. Assume that the probability that any given ticket is selected for the \$5000 prize is 1/10000,the probability that any given ticket is selected for the \$2500 prize is 1/10000,and the probability that any given ticket is selected for the \$1000 is 2/10000. Sidhardt purchases one of those tickets. Answer following Questions A) Determine his expected value B) Determine fair price of ticket Click here to see answer by lynnlo(4176)

 Question 731959: You have a bag of marbles. In your bag there are 5 red, 3 green, 6 white, 3 blue, and 1 black in the bag. You are going to reach into the bag and take TWO marbles. You will repeat this process 7 times replacing the marbles back into the bag before each selection. What is the probably that you will take out a black and a white marble on a given section 2 or more times. Click here to see answer by lynnlo(4176)

 Question 732026: Three coins are tossed A)determine the number of points in the sample area B)construct a tree diagram and list the sample space. Determine the probability C)no heads are tossed D)exactly one head is tossed E)three heads are tossed Click here to see answer by lynnlo(4176)

 Question 732027: A pet shop is selling a calico cat, a Siamese cat, a Persian cat and a Himalayan cat. The chens are going to select two cats to bring home as pets. A)Determine the number of points in the sample space B)Construct a tree diagram and list the sample space. Determine the probability that they select C)THE PERSIAN CAT D)the Persian cat and the calico cat E)cats other than the Persian cat Click here to see answer by lynnlo(4176)

 Question 731913: The numbers 0 through 5 are used in code groups of two to identify an item of clothing. Code 83 might identify a blue blouse, size medium. The code group 46 might identify a pair of pants, size 18, and so on. Repetitions of numbers are not permitted, i.e., the same number cannot be used more than once in a total sequence. As examples, 27, 94 or 55 would not be permitted. How many different code groups can be designed? Click here to see answer by lynnlo(4176)

 Question 731904: The admissions office wants to estimate the cost of textbooks for students at our college. Let the variable be the total cost of all textbooks purchased by a student this semester. The plan is to randomly identify 100 students and obtain their total textbook costs. The average cost for the 100 students will e used to estimate the average cost. A. Describe the parameter the admissions offices wishes to estimate. a. Describe the population b. Describe the variable involved c. Describe the sample Click here to see answer by lynnlo(4176)

 Question 732030: In a certain college, 33% of the physics majors belong to ethnic minorities. Find the probability of the event from a random sample of 10 students who are physics majors. Exactly 2 belong to an ethnic minority. Click here to see answer by lynnlo(4176)

 Question 731835: Suppose that, for students who are enrolled in college algebra, 78 percent are freshmen, 40 percent are female, and 28 percent are female and are freshmen. Your answers below should be entered as decimals and rounded to three decimal places. (c) Two students will be independently selected at random. What is the probability that both of the selected students will be female? Click here to see answer by lynnlo(4176)

 Question 732086: An ice cream vendor sells three flavors: chocolate, strawberry, and vanilla. Forty five percent of the sales are chocolate, while 30% are strawberry, with the rest vanilla flavored. Sales are by the cone or the cup. The percentages of cones sales for chocolate, strawberry, and vanilla, are 75%, 60%, and 40%, respectively. For a randomly selected sale, define the following events: = chocolate chosen = strawberry chosen = vanilla chosen = ice cream on a cone ice cream in a cup Find the probability that the ice cream was sold in a cup. Place your answer, rounded to 4 decimal places, in the blank. For exampe, 0.3456 would be a legitimate entry Click here to see answer by lynnlo(4176)

 Question 732094: Given that the population mean is 100 and the standard deviation is 15, convert the following intervals in terms of the data into intervals in terms of standard scores. P(75 ≤ x ≤ 123) = P( ?≤ z ≤? ) Give standard scores accurate to two decimal places, rounded conventionally; that is, z=1.234 would be written 1.23. Click here to see answer by lynnlo(4176)