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

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 Question 781754: In a population analyzed, 11% of people preferred the 8am class. In a random sample of 160 students, the proportion is 0.10. What are the values of p and p̂? Click here to see answer by stanbon(60771)

 Question 782015: 14. A fair die is rolled 10 times. Compute the probability that a “one” appears exactly once. Click here to see answer by oscargut(1838)

 Question 782016: 16. Determine the critical region and critical values for z that would be used to test the null hypothesis H o: μ = 25 vs. Ha : μ ≠ 25, at the level of significance α = 0.10. Sketch a normal curve to display the results Click here to see answer by oscargut(1838)

 Question 782035: I need help figuring out the formula for this word problem: "Suppose a university faculty is establishing a search committee to hire a new president and there are 150 Men and 50 Women and the Board of Trustees has suggested that they want exactly 2 women on the 5 person committee. Suppose the faculty insist on putting the names of all faculty in a hat and drawing out 5 at random. What is the probability that choosing the committee at random will result in a committee that is acceptable to the Board of Trustees." Click here to see answer by stanbon(60771)

 Question 782109: Two boys A and B are at two diametrically opposite points on a circle. At one instant the two start running on the circle; A anticlockwise with constant speed v and B clockwise with constant speed 2v. In 2 minutes, they pass each other for the first time. How much later will they pass each other for the second time? Click here to see answer by mananth(13127)

 Question 782180: Of 104 invidiuals; What is the probability that an individual will be between 16–21 years of age? Click here to see answer by psbhowmick(804)

 Question 782186: if there are ten students. what is the probability of one of them getting chosen at random for a contest Click here to see answer by stanbon(60771)

 Question 782066: An instructor has graded 33 exam papers submitted by students in a class of 34 students, and the average so far is 65. (The maximum possible score is 100.) A) To raise the class average by 1 point, the score on the last paper has to be what? B) To raise the class average by 2 points, the score on the last paper has to be what? Click here to see answer by stanbon(60771)

 Question 782178: My problem is finding the proper way to find probabilities; Of 104 individuals,what is the probability that an individual will be a female in the human resources department? Click here to see answer by oscargut(1838)

 Question 782231: Give the mean of the following probability distribution? 1 0.20 2 0.10 3 0.35 4 0.05 5 0.30 Click here to see answer by jim_thompson5910(29613)

 Question 782591: You look at real estate ads for houses in Naples, Florida. There are many houses ranging from 200,000 and 500,000 in price. The few houses on the water,however, have prices up to \$15 million.The distribution of house prices will be skewed left,right, or symmetric. Click here to see answer by stanbon(60771)

 Question 782440: Cellphone This Year Yes No Total Own a comput Yes 37 8 45 No 38 17 55 Total 75 25 100 a. Find the probability a randomly selected family has a cell phone. b. Find the probability a randomly selected family has a cell phone, given that they own a computer. c. Are the events of owning a computer and having a cell phone independent or dependent events? Click here to see answer by stanbon(60771)

 Question 782783: A class consists of 63 women and 86 men. If a student is randomly selected, what is the probability that the student is a woman? Click here to see answer by oscargut(1838)

 Question 782772: out of 20 students in a statistics class, 3 students are failing in the course. if 4 students from the class are picked up at random, what is the probability that one of the failing students will be among them. Click here to see answer by psbhowmick(804)

 Question 782759: 2. Find the standard deviation and coefficient of skewness for the following distribution Variable 0-5 5-10 10-15 15-20 20-25 25-30 30-35 35-40 Frequency 2 5 7 13 21 16 8 3 3. A salesman has a 60% chance of making a sale to any one customer. The behaviour of successive customers is independent. If two customers A and B enter, what is the probability that the salesman will make a sale to A or B. 4. To verify whether a course in Research Methodology improved performance, a similar test was given to 12 participants before and after the course. The original marks and after the course marks are given below: Original Marks 44 40 61 52 32 44 70 41 67 72 53 72 Marks after the course 53 38 69 57 46 39 73 48 73 74 60 78 Was the course useful? Consider these 12 participants as a sample from a population. Click here to see answer by edjones(7794)

 Question 782900: 92% of college students have laptop computers while 68% have ipod-type stereo devices. If 2% of college students own neither of these types of electronic devices, what is the probability that a student selected at random will own both of the two devices? Click here to see answer by edjones(7794)

 Question 783288: A group of 11 students selected at random secured the grade points: 1.5, 2.2, 0.9, 1.3, 2.0, 1.6, 1.8, 1.5, 2.0, 1.2 and 1.7 (out of 3). Use the sign test to test the hypothesis that intelligence is a random function (with a median of 1.8) at 5% level of significance Click here to see answer by psbhowmick(804)

 Question 783276: Hi Please help me the following problems 1. Every time a particular circuit is turned on there is a chance that one or more of its components will fail. The probability that none of the components fail is 0.35. The probability that exactly one of the components fail is 0.39, and the probability that all the components fail is 10−10. a. Find the probability that at most one of the components fails. b. Find the probability that at least one of the components fails. c. Find the probability that at least one of the components functions properly. 2. Two people are selected at random from a group of 8 women and 12 men. Consider the following events. A = {1st person is a woman} B = {2nd person is a woman} C = {1st person is a woman and the second is a man} D = {1st person is a man and the second is a woman} E = {Exactly one of the two people selected is a woman} a. Find P(A), P(B), and P(B/A). b. Are A and B independent? Are they mutually exclusive? c. Find P(C) and P(D). d. How is E related to C and D? e. Find P(E). 3. Widgets coming off an assembly line have a 10% defective rate. Five widgets are selected at random and tested. a. What is the probability that all five of them are defective? b. What is the probability that the first two are defective and the other three are not? c. What is the probability that the second and fifth ones are defective and the other three are not? d. How many different outcomes result in exactly two of the five being defective? e. What is the probability that exactly two of the five are defective? 4. In a certain video game, a submarine can fire five torpedoes at a time. If the probabilities of the first, second, third, fourth and the last torpedo hitting the enemy ship are 0.7, 0.6, 0.5, 0.4 and 0.3. What is the probability that five torpedoes aimed at an enemy ship will sink the ship? 5.When a fish is hooked and then released there is a 5% chance that it will die. Suppose a group of anglers goes fishing and releases a total of 20 fish. a. What is the probability that the 1st, 2nd, and 3rd fish released all die and the rest survive? b. What is the probability that the 5th, 16th, and 17th fish released all die and the rest survive? c. How many outcomes result in exactly three of the fish dying and the rest surviving? d. What is the probability that exactly three of the fish die? Click here to see answer by psbhowmick(804)

 Question 783344: A tiling company takes 150 hours with a standard deviation of 21 hours to roof a building complex. What is probability that the same company will take at least 145 hours to do the same job? Click here to see answer by stanbon(60771)

 Question 783386: One engineering group consists of 6 men and 4 women, How many different teams can be formed consisting of 2 men and 2 women Click here to see answer by oscargut(1838)

 Question 783342: Calls arrive at a petrol station at the rate of 7 cars per minute. What is the probability that the petrol station receives at most 3 cars minute Click here to see answer by oscargut(1838)

 Question 783420: In a certain firm, the probability that an employee picked at random will be over 30 years of age is 0.58. What is the probability that an employee picked at random will be 30 years old or younger? Click here to see answer by edjones(7794)

 Question 783492: There are 15 slips of paper in a jar. Each slip has different name on it. How many ways can you draw 5 names from the jar? Click here to see answer by jim_thompson5910(29613)

 Question 783793: What do you think it means when A is not 1 when we attempt to complete the square? For example, 5x squared + 25x + 10 = 45 what A represents or B tell me how to make A = 1 Click here to see answer by josgarithmetic(3315)

 Question 783356: For a certain stock exchange the average time until a crash is 5 years. An investor would like to know for what period of time he could invest on the exchange be 75% confident that it would not crash? Click here to see answer by mrcgio001(1)

 Question 641701: 4 From past experiences a stockbroker believes that under present economic conditions a customer will invest in tax-free bonds with a probability of 0.6, will invest in mutual funds with a probability of 0.3, and will invest in both tax-free bonds and mutual funds with a probability of 0.15. At this time, find the probability that a customer will invest. (a) In either tax-free bonds or mutual funds; (b) In neither tax-free bonds nor mutual funds. Click here to see answer by Lilmarley808(1)

 Question 783950: 1. A group of 11 students selected at random secured the grade points: 1.5, 2.2, 0.9, 1.3, 2.0, 1.6, 1.8, 1.5, 2.0, 1.2 and 1.7 (out of 3). Use the sign test to test the hypothesis that intelligence is a random function (with a median of 1.8) at 5% level of significance. Click here to see answer by psbhowmick(804)

 Question 784146: Assume a member is selected at random from the population represented by the graph. Find the probability that the member selected at random is from the shaded area of the graph. Assume the variable x is normally distributed. 200 < x < 400. U=504 o=112. The probability that the member selected at random is from the shaded area of the graph is _______. Click here to see answer by oscargut(1838)

 Question 784230: There are 10 boxes in a grab bag. The boxes are identical except that 7 of them contain \$20 bills. A contest winner gets to pick 2 boxes from the grab bag. What is the probability of getting 2 \$20 bills? Click here to see answer by stanbon(60771)

 Question 784471: In a class of 10 children, what is the probability that 2 friends will be chosen to go on a trip. Only 2 will be chosen. Click here to see answer by edjones(7794)

 Question 784417: If my grocery bill is \$111. And I wanted to pay with \$1 bills and \$5 bills how many different combinations could I use to pay? Click here to see answer by edjones(7794)

 Question 784648: Let A = {1, 2, 3, 4, 5, 6, 7}. How many three element subsets of A contain the element 1 Click here to see answer by stanbon(60771)

 Question 784857: How would you evaluate 95!/92! without using a calculator? Click here to see answer by stanbon(60771)

 Question 784866: If you roll a pair of regular dice, in how many ways can at least one of the dice be a 5? Please explain the method. Click here to see answer by stanbon(60771)

 Question 785315: The board of directors of Saner Automatic Door Company consists of 12 members, 3 of whom are women. A new policy and procedures manual is to be written for the company. A committee of 3 is randomly selected from the board to do the writing. a)What is the probability that all members of the committee are men? b)What is the probability that at least 1 member of the committee is a woman? Click here to see answer by edjones(7794)

 Question 785336: Hi, just having problems with this, its the last part of a very long question, so I just summarised, I can get to half the answer that the book tells me, any help would be greatly appreciated! Cheers A jury of 12 people must have a majority to make a verdict in civil cases. In how many ways can a combination of Jurors give a verdict in a civil case? Click here to see answer by stanbon(60771)
 Question 785336: Hi, just having problems with this, its the last part of a very long question, so I just summarised, I can get to half the answer that the book tells me, any help would be greatly appreciated! Cheers A jury of 12 people must have a majority to make a verdict in civil cases. In how many ways can a combination of Jurors give a verdict in a civil case? Click here to see answer by edjones(7794)

 Question 785275: A survey determines that mint chocolate chip is the favorite ice cream flavor of 6% of consumers. An ice cream shop determines that of 190 customers, 15 customers stated their preference for mint chocolate chip. Find the P-value that would be used to determine if the percentage of customers who prefer mint chocolate chip ice has increased at a 5% level of significance. Click here to see answer by stanbon(60771)

 Question 785212: 1. A group of 11 students selected at random secured the grade points: 1.5, 2.2, 0.9, 1.3, 2.0, 1.6, 1.8, 1.5, 2.0, 1.2 and 1.7 (out of 3). Use the sign test to test the hypothesis that intelligence is a random function (with a median of 1.8) at 5% level of significance. Click here to see answer by psbhowmick(804)

 Question 785450: The height of an adult male is known to be normally distributed with a mean of 175 cm and a standard deviation of 6 cm. What must the height of a doorway be, such that 99 percent of adult males can pass through it without having to bend? Click here to see answer by stanbon(60771)

 Question 785438: ANOVA cannot tell us which of the following? a) One means is greater than or less than another one. b) Which particular means is different from the others. c) The magnitude of the differences between different means. d) There is no limitation in ANOVA Click here to see answer by stanbon(60771)

 Question 785428: The fill amount of soft drink bottles is normally distributed with a mean of 2.0 litres and a standard deviation of 0.05 litres. If you select a random sample of 25 bottles, what is the probability that the sample mean will be… a. Between 1.99 and 2.0 litres? b. Below 1.98 litres? c. Above 2.01 litres? d. The probability is 99% that the sample mean will contain at least how much soft drink? Click here to see answer by stanbon(60771)