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

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

Question 1050387: consider the random variable X to be number of heads obtained on 3 flips of a fair coin.
Write out the probability mass function and the probability distribution function for X.

Click here to see answer by Fombitz(32388)

Question 1050443: The line width for semiconductor manufacturing is assumed to be normal
distributed with a mean of 0.5 micrometer and a standard deviation of 0.05
micrometer.
a. What is the probability that a line width is greater than 0.64 micrometer?
b. What is the probability that a line width is between 0.47 and 0.65 micrometer?
Click here to see answer by rothauserc(4718)

Question 1050446: The mean incubation time of fertilized eggs is 19 days. Suppose the incubation times are approximately normally distributed with a standard deviation of 1 day.
(a) Determine the 16th percentile for incubation times.
(b) Determine the incubation times that make up the middle 97% of fertilized eggs.
How can I solve this (preferably) using a TI calculator?
Click here to see answer by ewatrrr(24785)

Question 1050444: Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 57 hours and a standard deviation of 3.5 hours. With this information, answer the following questions.
(a) What proportion of light bulbs will last more than 62 hours?
(b) What proportion of light bulbs will last 53 hours or less?
(c) What proportion of light bulbs will last between 57 and 62 hours?
(d) What is the probability that a randomly selected light bulb lasts less than 45 hours?
How do I solve this using a TI calculator?
Click here to see answer by ewatrrr(24785)

Question 1050445: The lengths of a particular animal's pregnancies are approximately normally distributed, with mean = 278 days and standard deviation = 16 days.

(a) What proportion of pregnancies lasts more than 290 days?
(b) What proportion of pregnancies lasts between 274 and 286 days?
(c) What is the probability that a randomly selected pregnancy lasts no more than 258 days?
(d) A "very preterm" baby is one whose gestation period is less than 238 days. Are very preterm babies unusual?
How can I solve this (preferably) using a TI calculator?
Click here to see answer by ewatrrr(24785)

Question 1050441: The amount of time that Carlos plays video games in any given week is normally
distributed. If Carlos plays video games an average of 15 hours per week, with a
standard deviation of 3 hours, what is the probability of Carlos playing video games
between 15 and 18 hours a week
Click here to see answer by ewatrrr(24785)

Question 1050284: I really need help on this problem please!
You choose an alpha level of .01 and then analyze your data.
a. What is the probability that you will make a Type I error given that the null
hypothesis is true?
b. What is the probability that you will make a Type I error given that the null
hypothesis is false?
any help is appreciated!

Click here to see answer by ewatrrr(24785)

Question 1050440: At the New Age Information Corporation, the ages of all new employees hired
during the last 5 years are normally distributed. Within this curve, 95% of the ages,
centered about the mean, are between 24.6 and 37.4 years. Find the mean age and the
standard deviation of the data
Click here to see answer by ewatrrr(24785)

Question 1050285: If anyone could help clarify this for me I would really appreciate it!
True/false: It is easier to reject the null hypothesis if the researcher uses a smaller alpha (α) level.
Thank you!

Click here to see answer by hussamuddin(51)

Question 1050288: I'm having a bit of trouble on this and it's giving me gray hairs!
Previously, an organization reported that teenagers spent 4.5 hours per week, on average, on the phone. The organization thinks that, currently, the mean is higher. Fifteen randomly chosen teenagers were asked how many hours per week they spend on the phone. The sample mean was 4.75 hours with a sample standard deviation of 2.0. Conduct a hypothesis test, the Type I error is:
a. to conclude that the current mean hours per week is higher than 4.5, when in fact, it is higher
b. to conclude that the current mean hours per week is higher than 4.5, when in fact, it is the same
c. to conclude that the mean hours per week currently is 4.5, when in fact, it is higher
d. to conclude that the mean hours per week currently is no higher than 4.5, when in fact, it is not higher
Help is greatly appreciated!
Click here to see answer by ewatrrr(24785)

Question 1050435: Assume the random variable X is normally distributed with mean = 50 and standard deviation = 7. Compute the probability using a TI calculator. P(56 ≤ X ≤ 69)

Click here to see answer by ewatrrr(24785)

Question 1050442: The compressive strength of cement can be modeled by a normal distribution with
a mean of 6000 kilograms per square centimeter and a standard deviation of 100
kilograms per centimeter.
a. What is the probability that a sample�s strength is less than 6252 kg/cm2 ?
b. What is the probability that a sample�s strength is between 5800 and 5890 kg/cm2 ?
Click here to see answer by ewatrrr(24785)

Question 1050438: mr arce has to choose a committee of 4 from among his club of 6 men and 9 women. In how many ways can this committee be chosen such that there are at least 3 women on the committee
Click here to see answer by ewatrrr(24785)

Question 1050517: Assume the random variable x is normally distributed with mean u
equals 81 and standard deviation o equals 4 Find the indicated probability.
P(68 less than x less than 79)P(68less than x less than79)equals nothing
(Round to four decimal places as needed.)
Click here to see answer by ewatrrr(24785)

Question 1050344: 1. A total of 12 subjects are randomly assigned, in equal numbers, to the
committee condition ( X 1 ) and to the solitary condition ( X 2 ). A compliance
score is obtained for each subject. Use t to test the null hypothesis at the
.05 level of significance.
2. To determine whether training in a series of workshops on creative thinking
increases IQ scores, a total of 70 students are randomly divided into
treatment and control groups of 35 each. After two months of training,
the sample mean IQ ( � X1) for the treatment group equals 110, and the
sample mean IQ ( � X2) for the control group equals 108. The estimated
standard error equals 1.80.
(a) Using t , test the null hypothesis at the .01 level of significance.
(b) If appropriate (because the null hypothesis has been rejected), estimate
the standardized effect size, construct a 99 percent confidence interval
for the true population mean difference, and interpret these estimates.
3.Assume that on average, healthy young adults dream 90 minutes each
night, as inferred from a number of measures, including rapid eye movement
(REM) sleep. An investigator wishes to determine whether drinking
coffee just before going to sleep affects the amount of dream time. After
drinking a standard amount of coffee, dream time is monitored for each of
28 healthy young adults in a random sample. Results show a sample
mean, X, of 88 minutes and a sample standard deviation, s , of 9 minutes.
(a) Use t to test the null hypothesis at the .05 level of significance.
(b) If appropriate (because the null hypothesis has been rejected), construct
a 95 percent confidence interval and interpret this interval.
4. In the gas mileage test described in this chapter, would you prefer a
smaller or a larger sample size if you were
(a) the car manufacturer? Why?
(b) a vigorous prosecutor for the federal regulatory agency? Why?
4. Even though the population standard deviation is unknown, an investigator
uses z rather than the more appropriate t to test a hypothesis at
the .05 level of significance.
(a) Is the true level of significance larger or smaller than .05?
(b) Is the true critical value larger or smaller than that for the critical z ?
Click here to see answer by ikleyn(52777)

Question 1050535: Predict the population of New Jersey in 2045
t = 5 corresponding to 2005
Image of numberchart: http://s11.postimg.org/b1lesq4rn/image.png
A.) 94,452
B.) 17,193
C.) 10,475
D.) 437,079
Click here to see answer by Boreal(15235)

Question 1050431: Assume the random variable X is normally distributed with mean = 50 and standard deviation = 7. Compute the probability USING TI. P(X>40)
Click here to see answer by ewatrrr(24785)

Question 1050605: A new car that runs on electricity and gasoline is advertised as getting 65 mpg with a standard deviation of 6.9. If you test drive a car, what is the probability that it will get between 50 and 65 mpg?
Click here to see answer by stanbon(75887)

Question 1050594: If a die is rolled 12 times, what is the probability that it will land on 4, six out of the 12 trials?
a) What is the answer for x and n?
b) What is the mean, variance, and standard deviation for this binomial experiment?
Click here to see answer by stanbon(75887)

Question 1050610: A box contains three marbles, one marble is red, one is black, and one is yellow. One marble is drawn from the box. Are the events mutually exclusive and why? The drawing of the marble would affect the probability and mutually exclusive events are those that cannot occur at the same time. But my confusion is how the events are being referred?
Click here to see answer by Fombitz(32388)

Question 1050666: At a gathering consisting of 10 men and 20 women, two door prizes are awarded. Find the probability that both prizes are won by men. The winning ticket is not replaced
Click here to see answer by rothauserc(4718)

Question 1050663: A couple has three children. Find each probability:
a) All boys.
b) All girls or all boys.
c) Exactly two boys or two girls.
d) At least one child of each gender.
Click here to see answer by Fombitz(32388)

Question 1050660: The probability that John will drive to school is 0.37, the probability that he will ride with friends is 0.23, and the probability that his parents will take him is 0.4. He is not allowed to have passengers in the car when he is driving. What is the probability that John will have company on the way to school?
Click here to see answer by ewatrrr(24785)

Question 1050658: A bag contains 9 red marbles, 8 white marbles, and 6 blue marbles. Randomly choose two marbles, one at a time, and without replacement. Find the following:
a) The probability that the first marble is red and the second is white.
b) The probability that both are the same color.
c) The probability that the second marble is blue.
Click here to see answer by ewatrrr(24785)

Question 1050693: Consumers spent an average of $14.99 on a meal at a restaurant in 2013. (Data extracted from bit.ly/1hObH22.) Assume that the amount spent on a restaurant meal is normally distributed and that the standard deviation is $2.

Click here to see answer by ewatrrr(24785)

Question 1050709: What is the probability that a customer chosen random
C. Has been loyal at least 10 years
Click here to see answer by Alan3354(69443)

Question 1050716:
Hello Tutors, Is my answer correct?
A GROUP OF PEOPLE WERE ASKED IF THEY HAD RUN A RED LIGHT IN THE LAST YEAR. 206 RESPONDED "YES" , AND 184 RESPONDED "NO" FIND THE PROBABILITY THAT IF A PERSON IS CHOSEN AT RANDOM, THEY HAVE RUN A RED LIGHT IN THE LAST YEAR. MY ANSWER IS : 522.05
Click here to see answer by jim_thompson5910(35256)

Question 1050708: Find the indicated probability. Express your answer as a simplified fraction unless otherwise noted.
The table below shows the soft drinks preferences of people in three age groups.
Non Smoker Smoker Total
Men 391 61 65 517
Women 312 72 80 464
Total 703 133 145 981
If one of the 981 subjects is randomly selected, find the probability that the person chosen is a nonsmoker given that it is a woman. Round to the nearest thousandth.
A. 0.444
B. 0.672
C. 0.318
D. 0.373

Click here to see answer by jim_thompson5910(35256)

Question 1050053: From past experience, Anna knows that the probability that her friend will take her to dinner in Lawiswis is 0.7, the probability that they will watch movies is 0.5, and the probability that he will take her to dinner or they will watch movies is 0.9. What is the probability that (1) they will do both? (2) they will do neither?
Click here to see answer by robertb(5830)

Question 1050723: In an office there are five women and four men. If one person is selected, find the probability that the person is a woman.
5/9 women
4/9 men
would this simply be a 5/9 chance of the person being select is a woman?

Click here to see answer by Sir226(11)

Question 1049033: An aerospace company has submitted bids on two separate federal government defense contracts, A and B. The company estimates that it has a 60% chance of winning contract A and a 30% chance of winning contract B. If P(B|A)=0.4.

a.What is the probability that the company will win at least one contract?
b.What is the probability that the company will win exactly one contract?
c.What is the probability that the company will win no contract?

Click here to see answer by robertb(5830)

Question 1050722: As shown above, a classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color is split into two suits of 13 cards each (clubs and spades are black and hearts and diamonds are red). Each suit is split into 13 individual cards (Ace, 2-10, Jack, Queen, and King).
If you select a card at random, what is the probability of getting:
(C). A number smaller than 8 (counting the ace as a 1)?
Click here to see answer by josmiceli(19441)

Question 1050727: Having trouble with this homework!
Compute the probability of randomly drawing five cards from a deck and getting 3 Aces and 2 Kings. (Give your answer as a fraction.)
Click here to see answer by Theo(13342)

Question 1050720: 46%
of men consider themselves professional baseball fans. You randomly select 10 men and ask each if he considers himself a professional baseball fan. Find the probability that the number who consider themselves baseball fans is (a) exactly eight, (b) at least eight, and (c) less than eight. If convenient, use technology to find the probabilities.
Click here to see answer by rothauserc(4718)

Question 1050767: 25% of individuals in a certain city earns more than $45,000 per year.
The percentage of individuals earning more than $45,000 and having a college degree is 10. Suppose that a person is randomly chosen and turns out to be earning more than $45,000 . What is the probability that he or she is a college graduate.
Click here to see answer by stanbon(75887)

Question 1050713: CAN A TUTOR TELL ME IF MY ANSWER IS RIGHT?
A SURVEY WAS GIVEN ASKING WHETHER THEY WATCH MOVIES AT HOME FROM NETFLIX, REDBOX, OR A VIDEO STORE. USE THE RESULTS TO DETERMINE HOW MANY PEOPLE. USE REDBOX
25 ONLY USE NETFLIX
55 ONLY USE NETFLIX
55 USE ONLY NETFLIX OR REDBOX
7 USE ALL THREE
46 ONLY USE REDBOX
7 USE ONLY A VIDEO STORE OR REDBOX
23 USE ONLY A VIDEO STORE OR NETFLIX
22 USE NONE OF THESE
MY ANSWER IS : 130
Click here to see answer by ikleyn(52777)

Question 1050778:
Hello Tutors, Is my answer correct?
A GROUP OF PEOPLE WERE ASKED IF THEY HAD RUN A RED LIGHT IN THE LAST YEAR. 206 RESPONDED "YES" , AND 184 RESPONDED "NO" FIND THE PROBABILITY THAT IF A PERSON IS CHOSEN AT RANDOM, THEY HAVE RUN A RED LIGHT IN THE LAST YEAR. MY ANSWER IS : 522.05
Click here to see answer by Sir226(11)

Question 1050808: Giving a test to a group of students, the grades and gender are summarized below
A B C Total
Male 15 10 18 43
Female 8 20 19 47
Total 23 30 37 90

If one student is chosen at random,
Find the probability that the student was male:
Find the probability that the student was male AND got a "B":
Find the probability that the student was male OR got an "B":
If one student is chosen at random, find the probability that the student was male GIVEN they got a 'A':
Click here to see answer by jim_thompson5910(35256)

Question 1050790: consider the following probability distribution
x -4 0 1 3
p(x) .1 .2 .4 .3
a. list the values that x may assume.
b. what value of x is most probable?
c. what is the probability that x is greater than 0?
d. what is the probability that x = -2
Click here to see answer by robertb(5830)

Question 1050784: Do you favor the college building a swimming pool?
Class | Yes | No | No Opinion
Freshman | 15 | 8 | 6
Sophomores | 25 | 3 | 2
Total Students = 59
Total Freshman = 29
Total Sophomores = 30
Total Yes = 40
Total No = 11
Total No Opinion = 8
a. The student who has no opinion = 8/59
b. The student who is a freshman = 29/59 or is against the issue = 11/59
= 29/59 + 11/59 = 40/59
c. The student is a sophomore = 30/59 or favors the issue = 40/59.
= 30/59 + 40/59 = 70/59
I got (a) correct but (b) and (c) are incorrect. I greatly appreciate anyone who can help me understand what I am doing wrong.
Click here to see answer by ewatrrr(24785)

Question 1050798: If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card you select is a club or 5? (Your answer must be in the form of a reduced fraction.)

Click here to see answer by ewatrrr(24785)

Question 1050806: Compute the probability of randomly drawing five cards from a deck and getting 3 Aces and 2 Kings. (Give your answer as a fraction.)
Click here to see answer by ewatrrr(24785)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 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