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

Tutors Answer Your Questions about Probability-and-statistics (FREE)

Question 1112240: suppose that 75% of students taking calculus have previously had a trigonometry course. Of those that did, 75% pass their calculus class. Of those that did not, 40% pass calculus. What is the overall failure rate for calculus?
Click here to see answer by Boreal(15235)

Question 1112279: A study on the delivery time of mail between two locations has found that the data follows a normal distribution. The study has also found that on average, mail takes up to five days to arrive with a standard deviation of 0:75 days. Using this information, what is the probability that the mail will take between four and six days to arrive?
Click here to see answer by Boreal(15235)

Question 1112304: In how many ways can a radio station play 10 different songs if no songs are repeated?

Click here to see answer by ikleyn(52754)

Question 1112309: Hi how do you do questions like this: how many ways can the letters in the word TRADE be arranged if the first and last letters have to be a constant.
Thanks
Click here to see answer by ikleyn(52754)

Question 1112328: Find two numbers such that, if 18 is added to the first number, it becomes twice the second number. And if 16 is added to the second number, it becomes three times the first number
Click here to see answer by ankor@dixie-net.com(22740)

Question 1112349: At the new light bulb plant, 5 out of 100 light bulbs produced are defective. If the daily production is 4200 light bulbs, how many are defective? Set up the proportion for the word problem. Use x as the unknown variable.
Click here to see answer by ikleyn(52754)

Question 1112348: Find the value of z that would be used to test the difference between the proportions, given the following. (Use G - H. Give your answer correct to two decimal places.)
Sample n x
G 378 329
H 414 329

Click here to see answer by ikleyn(52754)

Question 1112310: How do you do questions involving permuations where two things are arranged in alternative positions.
e.g.) How many ways can you arrange the letters in the word TRADE if the vowels and consonants have to be in alternative positions?
Click here to see answer by KMST(5328)

Question 1112235: Consider the following. (Give your answers correct to four decimal places.)
(a) Find P(0.00 < z < 2.14).
(b) Find P(-1.88 < z < 2.09).
(c) Find P(z > 0.30).
(d) Find P(z < 1.60).
Click here to see answer by Boreal(15235)

Question 1112379: A spinner is divided into five congruent sections, numbered 1 through 5. If the arrow on the spinner is spun, what is the probability that the arrow on the spinner will NOT land on a section labeled with an odd number on the first try?
A. 3/5
B. 2/3
C.1/2
D. 2/5
Click here to see answer by jim_thompson5910(35256)

Question 1112405: An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.
Compute the probability of each of the following events:
EventA : The sum is greater than .
EventB : The sum is an even number.
Write your answers as exact fractions.
Click here to see answer by stanbon(75887)

Question 1112365: For each statement, select the correct null hypothesis, H0, and alternative hypothesis, Ha, in symbolic form. Note that the hypotheses are based off of what the person THINKS or WONDERS may be true, in other words, what they are wanting to TEST.
(1.) According to the Merck Veterinary Manual, the average resting heart rate for a certain type of sheep dog is 115 beats per minute (bpm). A Montana farmer notices his aging sheep dog has been acting more lethargic than usual and wonders if her heart rate is slowing. He measures her heart rate on 15 occasions and finds a sample mean heart rate of 118.2 bpm.
A. H0:μ≥118.2, Ha:μ<118.2
B. H0:μ≥115, Ha:μ<115
C. H0:μ=115, Ha:μ≠115
D. H0:x�=118.2, Ha:x�≠118.2
E. H0:μ<115, Ha:μ>115
F. H0:x�≥115, Ha:x�>115
(2.) A certain type of hummingbird is known to have an average weight of 4.55 grams. A researcher wonders if hummingbirds (of this same type) living in the Grand Canyon differ in weight from the population as a whole. The researcher finds a sample of 30 such hummingbirds from the Grand Canyon and calculates their average weight to be 3.75 grams.
A. H0:x�≤3.75, Ha:x�>3.75
B. H0:μ=4.55, Ha:μ≠4.55
C. H0:x�≥4.55, Ha:x�<4.55
D. H0:μ=3.75, Ha:μ≠3.75
E. H0:μ<4.55, Ha:μ=4.55
F. H0:μ≥4.55, Ha:μ<4.55
(3.) The mean height of all adult American males is 69 inches (5 ft 9 in). A researcher wonders if young American males between the ages of 18 and 21 tend to be taller than 69 inches. A random sample of 100 young American males ages 18 to 21 yielded a sample mean of 71 inches.
A. H0:x�≤69, Ha:x�>69
B. H0:μ≤69 , Ha:μ>69
C. H0:μ≥71, Ha:μ<71
D. H0:μ>69, Ha:μ<69
E. H0:x�≥71, Ha:x�<71
F. H0:μ=69, Ha:μ≠69
Click here to see answer by stanbon(75887)

Question 1112363: Let E and F be two events of an experiment with sample space S. Suppose P(e)=.6 P(F)=.4 and P( E & F)=.2 compute:
a) P(E U F)
b) P(E')
c) P(F')
d) P (E' & F)
Click here to see answer by stanbon(75887)

Question 1112362: Calvin thinks a certain potato chip maker is putting fewer chips in their regular bags of chips. He selected a random sample of 17 bags of potato chips from a normal population and calculated a P value of 0.049 for the sample.
(a) At a 5% level of significance, is there evidence that Calvin is correct? (Yes or No):
(b) At a 10% level of significance, is there evidence that Calvin is correct? (Yes or No):
Also, please explain the relationship between the level of significance and a P value. Thank you!
Click here to see answer by stanbon(75887)

Question 1112445: Determine whether the following is a probability model.
Outcome Probability
Red 0.16
Blue 0.28
Green 0.30
White 0.26
yes or no
Click here to see answer by rothauserc(4718)

Question 1112447: Which is a probability distribution?

X 1 2 3 4 5
P(X) 1/20 2/20 3/20 4/20 5/20

X 2 4 6 8 15
P(X) 1/19 3/19 4/19 4/19 7/19

X 1 2 3 4 5
P(X) 1/10 1/10 1/10 1/10 1/10

None of the above
Click here to see answer by stanbon(75887)

Question 1112360: in a sweepstake sponsored by Gemini Paper Products, 100,000 entries have been received. if 1 grand prize, 5 first prizes, 25-second prizes, and 500 third prizes are to be awarded, what is the probability that a person who has submitted one entry will win:
a) the grand prize?
b) a prize?
Click here to see answer by Fombitz(32388)

Question 1112361: For each situation, state the null and alternative hypotheses.
(a) The manufacturer claims the diameter of a spindle in a small motor is supposed to be 4.7 millimeters (mm) with a standard deviation of 0.1 mm. If the spindle is either too small or too large, the motor will not work properly. The manufacturer measures the diameter in a sample of 15 spindles to determine whether the mean diameter has moved away from the required measurement. Suppose the sample has an average diameter of 4.79 mm.
H0 :

Ha :
(b) Harry thinks that prices in Caldwell are lower than the rest of the country. He reads that the nationwide average price of a certain brand of laundry detergent is $17.05 with standard deviation $0.52. He takes a sample from 3 local Caldwell stores and finds the average price for this same brand of detergent is $19.38.
H0 :

Ha :

Click here to see answer by stanbon(75887)

Question 1112303: You just received a shiftpment of 11 mp3 players. One mp3 player is defective. You will accept the shipment if two randomly selected mp3 players work. Whay is the probability that you will accept the shipment?
Click here to see answer by Boreal(15235)

Question 1112458: The number of people that eat in a local restaurant is given in the following distribution.
X 24 36 48 60 72 84 96 108
P(X) 0.05 0.27 0.09 0.20 0.17 0.03 0.14 0.05
Find the standard deviation.
Click here to see answer by ikleyn(52754)

Question 1112516: What value would be needed to complete the following probability distribution?
0 1/3 = 8/24
1 1/8 = 3/24
2 1/8 = 3/24
3
4 1/6 = 4/24
Missing 6/24 = 1/4
I'm a little confused
Could you show me how they got the missing number and the 8/24, 3/24, 3/24, 4/24..?

Click here to see answer by stanbon(75887)

Question 1112454: Let $p_1$ be the proportion of successes in the first population and let $p_2$ be the proportion of successes in the second population. Suppose that you are testing the hypotheses:
$H_0:p_1-p_2=0 \\ H_a:p_1-p_2 \neq 0$
Futhermore suppose that $z^*=1.73$, find and input the p-value for this test
Click here to see answer by stanbon(75887)

Question 1112565: Hi please guide me here: A Cape Town courier service promises that 20%of Johannesburg-bound parcel deliveries will reach
their destinations within 12 hours. What is the probability that of the seven parcels sent at random
times by a particular client in Cape Town, only one is delivered late?
Click here to see answer by rothauserc(4718)

Question 1112545: Find the z-score that is greater than the mean and for which 70% of the distribution's area lies to the left
Click here to see answer by rothauserc(4718)

Question 1112636: A 32 year old woman purchases a 100,000 term life insurance policy for an annual payment of $310. Based on a period life table for the U.S. Government, the probability that she will survive the year is 0.999052. Find the expected value of the policy for the insurance company. Round to two decimal places for currency problems.
Click here to see answer by stanbon(75887)

Question 1112631: In a Gallup poll of 557 randomly selected adults, 284 said that they were
underpaid. Construct a 95% confidence interval estimate for the proportion
of adults who say they are underpaid.
Click here to see answer by stanbon(75887)

Question 1112686: which pair of events are complementary events?
- rolling a 4 or greater with a 6 sided die; rolling 5 or less with a 6 sided
die
- rolling a 1 with a 6 sided die; rolling a 2 or greater with 6 sided die
- rolling a number less than 3 with a 6 sided die; rolling a number greater than 3 with 6 sided die
rolling a 5 with a 6 sided die; rolling a 2 or greater with a 6 sided die
Click here to see answer by stanbon(75887)

Question 1112685: Another Question , Help Please
A survey of 20 randomly sampled judges employed by the state of Florida found that they earned an average wage (including benefits) of $57.00 per hour. The sample standard deviation was $5.60 per hour. (Use t Distribution Table.)

Q1) What is the best estimate of the population mean?
Q2) Develop a 90% confidence interval for the population mean wage (including benefits) for these employees. (Round your answers to 2 decimal places.)
Confidence interval for the population mean wage is between ...?... and ...?...
Q3)How large a sample is needed to assess the population mean with an allowable error of $1.00 at 90% confidence? (Round up your answer to the next whole number.) Sample size ?

Click here to see answer by stanbon(75887)

Question 1112696: Hello , Cant Solve This , Someone help me ?
The mean amount purchased by a typical customer at Churchill's Grocery Store is $23.50 with a standard deviation of $6.00. Assume the distribution of amounts purchased follows the normal distribution. For a sample of 52 customers, answer the following questions.

Q1)What is the likelihood the sample mean is at least $25.50? (Round your z value to 2 decimal places and final answer to 4 decimal places.)
Probability ?
Q2)What is the likelihood the sample mean is greater than $22.50 but less than $25.50? (Round your z value to 2 decimal places and final answer to 4 decimal places.)
Probability ?

Q3) Within what limits will 95 percent of the sample means occur? (Round your answers to 2 decimal places.)
Sample mean ....... and ......
Click here to see answer by Boreal(15235)

Question 1112705: The letters of the word TEARS are rearranged randomly. What is the probability that the letters now spell STARE?
Click here to see answer by Edwin McCravy(20054)

Question 1112694: A manufacturing company manufacturing computer chips finds that 8% of all chips
manufactured are defective. Management is concerned that high employee turnover is
partially responsible for the high defect rate. In an effort to decrease the percentage of
defective chips, management decides to provide additional training to those employees
hired within the last year. After training was implemented, a sample of 450 chips
revealed only 27 defects. In order to determine whether the additional training was
effective in lowering the defect rate:
(a) State the null and the alternative hypotheses for this test. (3 marks)
(b) Calculate the value of the test statistic for this test. (2 marks)
(c) Using α = 0.01, identify the critical region for this test. (2 marks)
(d) State the conclusion of this test. Give a reason for your answer. (3 marks)
Click here to see answer by Boreal(15235)

Question 1112683: Help Please !
A sample of 30 observations is selected from a normal population. The sample mean is 10, and the population standard deviation is 2. Conduct the following test of hypothesis using the 0.10 significance level.
H0: μ ≤ 9
H1: μ > 9
Q1)Is this a one- or two-tailed test?

One-tailed test ?
Two-tailed test ?

Q2)What is the decision rule?

Reject H0 when z > 1.282 ?
Reject H0 when z ≤ 1.282 ?
Q3)What is the value of the test statistic? (Round your answer to 2 decimal places.)
Q4) What is your decision regarding H0?

Reject H0
Fail to reject H0
Q5) What is the p-value? (Round your answer to 4 decimal places.)

Q6) Interpret the p-value? (Round your final answer to 2 decimal places.)
There is a .......%chance of finding a z value this large by ''Sampling Eror'' When H0 is true

Click here to see answer by Boreal(15235)

Question 1112704: A student is taking a quiz with 12 multiple-choice questions. Each question has four choices for answers, and a passing grade requires 8 correct responses. Which of the following simulations, repeated 100 times, could be used to predict the likelihood that the student will pass the test by guessing on all the questions?
A) Toss 4 fair two-sided coins 3 times and record the the results
B) Make a spinner with 4 equal sections numbered 1 through 4. Spin the needle 12 times and record the number of times the result is 4
C) Roll a 12-sided die 4 times and record the results
D) Mark 48 ping-pong balls so that 12 each are marked with A,B,C, or D. Remove 12 balls at random and record the number of times the result is A
Click here to see answer by ikleyn(52754)

Question 1112740:
Which of the following pairs of probability values could complete the following probability distribution?
x
-3
-2
-1
0
1
2
P(x)
0.13
0.26
p1
p2
0.16
0.19
How come my answer was wrong if -0.1 and 0.36 plus all the other numbers all together added up to 1?
Selected Answer:
p1 = �0.1, p2 = 0.36
Click here to see answer by solver91311(24713)

Question 1112748: if A single 20-sided die is tossed once find the probality of rolling a 1
Click here to see answer by solver91311(24713)

Question 1112742:
The accompanying table is constructed from data obtained in a study of the number of DVD rented from DVD-rental store.
X 0 1 2 3 4
P(X) 0.04 0.26 0.45 0.20 0.05
What is the probability that a randomly selected individual will rent at most 3 DVD's ?

Click here to see answer by solver91311(24713)

Question 1112737: Find the mean and variance for the following probability distribution
X -1 -2 3 4
P(X) 0.05 0.43 0.32 0.20
Click here to see answer by rothauserc(4718)

Question 1112728: Help me to Solve this A Confidence Interval for a Population Proportion Problem ! Need help for question B
The Fox TV network is considering replacing one of its prime-time crime investigation shows with a new family-oriented comedy show. Before a final decision is made, network executives commission a sample of 350 viewers. After viewing the shows, 250 indicated they would watch the new show and suggested it replace the crime investigation show.

A) Estimate the value of the population proportion. (Round your answers to 3 decimal places.) (i already found the answer i think its 0.714)
B)Develop a 90% confidence interval for the population proportion. (Use z Distribution Table.) (Round your answers to 3 decimal places.)
Confidence interval ........ and ........,
Click here to see answer by rothauserc(4718)

Question 1112796: The average height of flowering cherry trees in a nursery is 10.5 feet. If the heights are normally distributed with a standard deviation of 1.5, find the probability that a tree is less than 12.5 feet tall
Click here to see answer by stanbon(75887)

Question 1112789: Residents of Hawkins, Indiana, believe something has stunted the growth of adult males. Let � = average height of an adult male born in Hawkins, Indiana. The city wants to test Ho: � = 69 inches against Ha: � ≠ 69 inches. A random sample of 16 males born in Hawkins yields xbar = 66.5 and s = 4. For α = 0.05, what do you conclude? Assume the relevant population follows a normal random variable.
Click here to see answer by rothauserc(4718)

Question 1112788: Residents of Hawkins, Indiana, believe something has stunted the growth of adult males. Let � = average height of an adult male born in Hawkins, Indiana. The city wants to test Ho: � = 69 inches against Ha: � ≠ 69 inches. A random sample of 16 males born in Hawkins yields xbar = 66.5 and s = 4. For α = 0.05, what do you conclude? Assume the relevant population follows a normal random variable.
Click here to see answer by stanbon(75887)

Question 1112835: A bag contains 7purple and 6 red jelly beans. What is the probability that 2 red jelly beans will be pulled?
Click here to see answer by Alan3354(69443)

Question 1112835: A bag contains 7purple and 6 red jelly beans. What is the probability that 2 red jelly beans will be pulled?
Click here to see answer by solver91311(24713)

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7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 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