# 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 750256: 5 apples, 7 oranges, and 4 peaches are mixed into a fruit bin. If 4 pieces of fruit are picked out at random, what is the probability of picking 2 oranges and 2 peaches? Click here to see answer by stanbon(60778)

 Question 750252: a bag contains 5 white marbles and 3 green marbles.Find the probability of selecting 2 green and 2 white marbles. Click here to see answer by stanbon(60778)

 Question 750250: A spinner is divided into 8 equal regions to represent the digits 1-8. In how many ways can the digits be arranged? I know the answer is 5040 because our teachers gave us the answers on the bottom of the paper. I thought it would be solved by doing 8! (8 factorial), but I cannot seem to solve it to get the correct answer provided. Click here to see answer by stanbon(60778)

 Question 750226: I have zero idea what this question is asking me and could really use some help. Please and thank you. Given x is a normal variable with mean u=110 and standard deviation o=12 find A. P(x≤120) B. P(x≥ 80) C. P( 108≤ x≤ 117) Click here to see answer by stanbon(60778)

 Question 750258: five apples, 7 oranges, and 4 peaches are mixed in a fruit bin. If 4 pieces of fruit are picked out at random, what is the probability of picking 4 oranges OR 4 apples? Click here to see answer by JoeTaxpayer(186)

 Question 750348: suppose the probability that a family will have a male child is given as 0.4. a family decides to have five. (a)what is the probability of having at least a male child. (b)what is the probability of having at most 4 male birth (c)what is the probability of having 3 male birth. plz i nid ans.n i am truly grateful for any attempt Click here to see answer by stanbon(60778)

 Question 750341: For a large population of RAM chips, a sample of twenty is taken and a test carried on each of them to see whether they perform correctly. In the test, eight chips are found to perform correctly and the remaining twelve do not perform to speciﬁcations. 1. Let p be the proportion of chips performing the speciﬁcations in the population of chips, give a point estimate of p which is the yield of the chips. Click here to see answer by stanbon(60778)

 Question 750294: Family X1 X2 X3 X4 X5 X6 X7 X8 X9 X10 Autos 4 5 3 2 2 3 3 1 4 3 TVs 4 4 5 3 3 4 5 5 4 3 3)Using the Census data in problem 1, above, if one of the 10 families residing in Florida is selected at random, what is the probability of the following: a) It has 4 Autos? b) It has 4 Autos and 4 TVs? c) It has 4 Autos or 4 TVs? d) It has 4 Autos given it has 4 TVs? Click here to see answer by stanbon(60778)

 Question 750223: I could use some help with this question. I've read the chapter a number of times and just do not understand it. Thank you If x has a normal distribution with mean µ=15 and standard deviation ợ=3, describe the distribution of x values for sample size n, where n=4,n=16 and n=100. How do the x distributions compare for the various sample sizes? thanks Click here to see answer by stanbon(60778)

 Question 750481: a random sample of 16 students showed that the variance in the number of hours they spend studying for a final exam was 25 hours squared. a) construct a 95% confidence interval for the population variance and standard deviation of hours spent studying. Assume the population of hours spent studying is normally distributed. b) Test, at the 5% level of significance, whether the population standard deviation of hours spent studying is less than 10. Use the critical value approach. Click here to see answer by reviewermath(721)

 Question 750484: A manufacturer of exercise bicycles is studying the relationship between the number of months an exercise bicycle has been owned and the length of time it was used last week. Data for a random sample of 7 owners are provided in the table below. month owned (x)---------- 14,8,5,3,10,4,12 Hours used last week (y)- 6, 8,7,9,6, 8, 7 a) Construct a scatter diagram for these data with "month owned" on the horizontal (x) axis, and "Hours used last week" on the vertical (y) axis. b)Describe the general pattern of the relationship between the two variables. c)Calculate the least squares regression line with hours used as the dependent variables and months owned as the independent variables. d)Plot the regression line on the scatter diagram you constructed in part(a). Note: show your calculations for x=4 and x=12. e)Cab it be concluded that the slope of regression line is negative? Formulate and test the appropriate hypotheses at the 5% significance level. Use the critical value approach. f)construct a 95% confidence interval for B. g) interpret the numerical value of b in the sample regression line. What does it mean in the context of this question? h) Use the equation of the regression line to predict hours used last week if an exercise bicycle has been owned for 11 months. Click here to see answer by stanbon(60778)

 Question 750493: Psychologists estimate that 80% of male drivers, when lost in trying to find a location, continue to drive rather than asking for directions. If this estimate is correct, what is the probability that, in a random sample of 100 lost male drivers, the proportion who continue to drive is a) at least 0.70? b) less than 0.85? please provide all step. I'm having a hard time understanding it. thank you Click here to see answer by reviewermath(721)
 Question 750493: Psychologists estimate that 80% of male drivers, when lost in trying to find a location, continue to drive rather than asking for directions. If this estimate is correct, what is the probability that, in a random sample of 100 lost male drivers, the proportion who continue to drive is a) at least 0.70? b) less than 0.85? please provide all step. I'm having a hard time understanding it. thank you Click here to see answer by stanbon(60778)

 Question 750500: how many permutations are there of the letters in CALIFORNIA? Click here to see answer by jim_thompson5910(29613)

 Question 750491: A survey was conducted to determine the percentage of students at a post secondary institution who prefer the new alpha-grading system. The responses from a random sample of 30 students are shown below. YES-18, NO-12 Construct a 98.5% confidence interval for a population proportion who prefer the new alpha-grading system. please show all steps. thank you Click here to see answer by stanbon(60778)

 Question 750444: there are 14 girls and 10 boys in an algebra 2 class. what is the probability of a group of 4 having 3 girls and 1 boy Click here to see answer by Edwin McCravy(9719)

 Question 750591: a quiz consists of 90 multiple choice questions each with five possible answers only one of them is correct. Find the mean and standard deviation of the number of correct answers. Click here to see answer by reviewermath(721)

 Question 750588: The license plates in a certain state consist of 3 letters followed by 3 nonzero digits. How many such license plates are possible? Click here to see answer by josmiceli(10616)

 Question 750609: How many 3-digit odd numbers can be formed from the digits 1, 2, 4, 6, 8, 9 if repetition is allowed? Click here to see answer by tommyt3rd(3721)

 Question 750719: A machinist drilled a conical hole into a cube if metal if the cube has sides of length 5cm what is the volume of the cube after the hole is drilled round your answer to the nearest hundredth Use 3.14 for pi Click here to see answer by solver91311(18785)

 Question 750758: how many 1-topping pizzas can be made from a choice of 15 toppings, 3 sizes, and 2 crust styles? Click here to see answer by timvanswearingen(106)

 Question 750836: A study conducted last year indicated that adults spent an average of 14 hours on household chores during the weekend. A research group wishes to determine if the average hours spent on household chores during the weekend this year is different from the 14 hours of last year. Consequently, the research group selects a random sample of 64 adults and finds the mean hours spent on household chores during the weekend to be 15.05 hours. The population standard deviation is known to be 3.0 hours. a) Formulate and test the appropriate hypotheses using the p-value approach. What is the p-value of the test? would you reject the null hypotheses at σ =0.01? What would be your conclusion? b) Would you reject the null hypothesis at σ =0.01? What would be your conclusion? c) How strong is the evidence against Ho? show full steps. thank you Click here to see answer by stanbon(60778)

 Question 750919: A club has 5 members. From these members, the positions of president, vice-president, and treasurer have to be filled. In how many different ways can these 3 positions be filled? Click here to see answer by JoeTaxpayer(186)

 Question 751036: Three Dice are tossed. in how many ways can the dice each come up a different number Click here to see answer by dkppathak(133)

 Question 751130: If two dies are tosed together,what is the probability of having equal outcomes Click here to see answer by stanbon(60778)

 Question 751101: Can some one walk me through this An insurance company charges a 21-year old male a premium of \$250 for a one year \$100,000 life insurance policy. A 21 year old male has a 0.998 probability of living for a year. a. From the perspective of a 21 year old male (or his estate), what are the values of the two different outcomes? The value is he lives is [ ] dollars The value if he dies is [ ] dollars b. What is the expected value for a 21 year old male who buys the insurance? The expected value is [ ] dollars c. What would the cost of the insurance if the company just breaks even (in the long run with many such policies), instead of making a profit? [ ] dollars d. Given that the expected value is negative (so the insurance company can make a profit), why should a 21 year old male or anyone else purchase life insurance? [ ] A person who buys a one year policy will expect to make a profit [ ] Insuring the financial security of loved ones compensates for the negative expected value Click here to see answer by stanbon(60778)

 Question 751081: A container has 50 electronic components, of which 10 are defective. If 8 components are drawn at random from the container, what is the probability that exactly 3 of them are defective? Click here to see answer by stanbon(60778)

 Question 751024: From a pack of 52 cards three are drawn at random, the probability that these drawn will include at least one king is Click here to see answer by stanbon(60778)

 Question 750901: A researcher is comparing the reaction times of 10 year olds who play video games and 10 year olds who dont. . Players of video games sample size-15 mean reaction time(seconds)-0.5 Standard deviation of reaction times(seconds-0.01 . Non-Players of video games sample size-10 mean reaction time(seconds)-0.52 Standard deviation of reaction times(seconds-0.02 . Assume that the reaction times for both populations are normally distributed with the same population standard deviation. a)Construct a 98% confidence interval for the difference between the population means of reaction times. . Please give full steps. thank you very much Click here to see answer by stanbon(60778)

 Question 751195: I have zero idea what this is asking me and have read the chapter three times and need some help please. Find the area to the left of 2 on a standard normal distribution ???? Thank you Click here to see answer by tommyt3rd(3721)

 Question 751225: I have a bag with 5 quarters and 3 nickels. I randomly draw coins out one at a time. What is the probability that I haven't removed all 3 nickels after 4 draws? Click here to see answer by Edwin McCravy(9719)

 Question 751206: Yet again I am completely lost and need some assistance please. Find the area to the left of 40 on a normal distribution with u=50 snd o=8? I am attempting to put these on an excel sheet with zero luck. Thank you for your time:) Click here to see answer by reviewermath(721)

 Question 751267: If six in every hundred saws are defective and you buy two what is the probability of both of the saws you bought being defective? Click here to see answer by tommyt3rd(3721)

 Question 751436: I am on crunch time, done 90% of my homework for this and other classes, now, I am stuck. Please save me.... PART ONE--> Imagine that you have population data with an average height of 5 feet 10 inches. Conduct a one-sample t-test to determine whether your sample population is significantly different from the general population. MY DATA:::: (64, 65, 61, 63, 59, 64, 61, 63, 63) DATA FROM MINI TAB::: One-Sample T: Satisfaction Test of mu = 70 vs not = 70 Variable N Mean StDev SE Mean 95% CI T P Satisfaction 9 7.556 0.882 0.294 (6.878, 8.233) -212.42 0.000 PART TWO-->Imagine that you have population data with an average satisfaction with a job score of 5. Conduct a one-sample t-test to determine whether your sample population is significantly more or less satisfied than the general population. MY DATA::: (8, 8, 7, 9, 8, 7, 9, 6, 7) DATA FROM MINI TAB::: One-Sample T: Height Test of mu = 5 vs not = 5 Variable N Mean StDev SE Mean 95% CI T P Height 9 62.556 1.878 0.626 (61.112, 63.999) 91.93 0.000 HELP?? Be sure to use the proper df and provide all the steps of calculations. HELP??Include an explanation of how you arrived at the critical value. Interpret the results using statistical analysis. HELP??With the analysis and results, explain whether you can conclude that your sample is taller or shorter than the general population. HELP??Describe how the results would be altered if you had twice as many subjects. Click here to see answer by jim_thompson5910(29613)

 Question 751450: A recent survey found that 62% of adults misplace their car keys on a regular basis. Assume a sample size of 42 adults. A)Find the probability that exactly 21 adults misplace their keys on a regular basis. B) Find the probability that 18 or fewer adults misplace their keys on a regular basis. Click here to see answer by reviewermath(721)

 Question 751448: A recent survey found that 62% of adults misplace their car keys on a regular basis. Assume a sample size of 42 adults. A)Find the probability that fewer than 28 adults misplace their keys on a regular basis. B) Find the probability that more than 30 adults misplace their keys on a regular basis. Click here to see answer by reviewermath(721)

 Question 751480: A person throws two standard six-sided dice six times in succession. What is the probability that he/she throws double six exactly once. Click here to see answer by stanbon(60778)

 Question 751479: On a multiple choice test with four possible answers to each of fi ve questions, what is the probability that a person will get four or more correct answers by guessing. Click here to see answer by stanbon(60778)

 Question 751478: A player is dealt a bridge hand of 13 cards from a standard pack of 52 cards. He tells the other players that he has the ace of hearts. What is the probability that he has no other ace? Click here to see answer by stanbon(60778)