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

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Question 1199666: A survey of athletes at a high school is conducted, and the following facts are discovered: 34% of the athletes are football players, 58% are basketball players, and 14% of the athletes play both football and basketball. An athlete is chosen at random from the high school: what is the probability that the athlete is either a football player or a basketball player?
Probability =
% (Please enter your answer as a percent)

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Question 1199668: Suppose that you have 10 green cards and 5 yellow cards. The cards are well shuffled. You randomly draw two cards with replacement. Round your answers to four decimal places.
G1 = the first card drawn is green
G2 = the second card drawn is green
a. P(G1 and G2) =
b. P(At least 1 green) =
c. P(G2|G1) =

d. Are G1 and G2 independent?
They are independent events
They are dependent events

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Question 1199667: Jon buys a bag of cookies that contains 7 chocolate chip cookies, 6 peanut butter cookies, 8 sugar cookies and 5 oatmeal cookies. What is the probability that Jon randomly selects a chocolate chip cookie from the bag, eats it, then randomly selects a sugar cookie?
Probability =
(Round to 4 decimal places)

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Question 1199695: Suppose that the annual rainfall in inches in the Andes is uniformly distributed between 0 inches and 90 inches. What is the probability that there will be less than 60 inches of rain in the Andes this year?
Round your answer to three decimal places.

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Question 1199684: Problem B:
The incubation time for chicks is normally distributed with a mean of 21 days, and a standard deviation of approximately 1.2 days (based on the information from the World Bank Encyclopedia). If 1000 eggs are being incubated, how many chicks do we expect will hatch
c.) In 18.3 days or fewer?
d.) In at least 22.8 days?

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Question 1199711: In a large population, 8% of the males have had a kidney stone. Suppose a medical researcher randomly selects two males.
Let X represent the event “the first male has had a kidney stone.”
Let Y represent the event “the second male has had a kidney stone.”
Which of the following is true about the two events?

X and Y are disjoint.
X and Y are independent.
Both (A) and (B) are true.
None of the above are true.

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Question 1199705: Suppose that the weight of navel oranges is normally distributed with mean 8 ounces ,and standart deviation 1.5 ounces.ıf you randomly select a navel orange ,what is the probabilty that it weighs.
a} more than 11.5 ounces ?
b} between 6.2 and 7 ouncles?
c} ıf the randomly selected navel orange weighs more than X value has a probalitiy 89.07% find the value of X

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Question 1199739: An experiment consists of first rolling a die and then tossing a coin:
a. How many elements are there in the sample space?
b. Let A be the event that either a 2 or 3 is rolled first, followed by landing a head on the coin toss.
P(A) =
Present your answer as a decimal rounded to four decimal places.
c. Let B be the event that a number less than 3 is rolled, followed by landing a head on the coin toss. Are the events A and B mutually exclusive?
Yes, they are Mutually Exclusive
No, they are not Mutually Exclusive

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Question 1199738: E and F are mutually exclusive events. P(E) = 0.15; P(F) = 0.71. Find P(E | F)

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Question 1199735: Counting numbers are to be formed using only the digits 6,3, and 8. Determine the number of different possibilities for​ two-digit numbers.
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Question 1199736: A and B are independent events. Use the following probabilities to answer the question. Round to 4 decimal places.
P(A) = 0.24, P(A and B) = 0.12, find P(B)
P(B) =

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Question 1199737: Pollsters are concerned about declining levels of cooperation among persons contacted in surveys. A pollster contacts 93 people in the 18-21 age bracket and finds that 79 of them respond and 14 refuse to respond. When 254 people in the 22-29 age bracket are contacted, 225 respond and 29 refuse to respond. Assume that 1 of the 347 people is randomly selected. Find the probability of getting someone in the 22-29 age bracket or someone who refused to respond.
Report the answer rounded to 4 decimal place accuracy.
P(22-29 or refused) =

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Question 1199741: The highway mileage (mpg) for a sample of 9 different models of a car company can be found below.
43 31 37 44 50 40 39 25 50

Click to Copy-and-Paste Data
Data: 43,31,37,44,50,40,39,25,50


Find the mode:


Find the midrange:


Find the range:


Estimate the standard deviation using the range rule of thumb:


Now use technology, find the standard deviation:
(Please round your answer to 2 decimal places)

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Question 1199756: The student council is hosting a drawing to raise money for scholarships. They are selling tickets for $7 each and will sell 800 tickets. There is one $1,000 grand prize, four $500 second prizes, and fourteen $30 third prizes. You just bought a ticket. Find the expected value for your profit. Round to the nearest cent.
$

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Question 1199786: María buys a bag of cookies that contains 8 chocolate chip cookies, 5 peanut butter cookies, 8 sugar cookies and 7 oatmeal cookies. What is the probability that María randomly selects a chocolate chip cookie from the bag, eats it, then randomly selects an oatmeal cookie?
Probability =
(Round your answer to 4 decimal places.)

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Question 1199784: Suppose that you have 7 green cards and 5 yellow cards. The cards are well shuffled. You randomly draw two cards without replacement.
G1 = the first card drawn is green
G2 = the second card drawn is green
a. P(G1 and G2) =
b. P(At least 1 green) =
c. P(G2|G1) =

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Question 1199785: A jar contains 32 red marbles numbered 1 to 32 and 50 blue marbles numbered 1 to 50. A marble is drawn at random from the jar. Find the probability of the given event. Please enter reduced fractions.
(a) The marble is red. P(red)=

(b) The marble is odd-numbered. P(odd)=

(c) The marble is red or odd-numbered. P(red or odd) =

(d) The marble is blue or even-numbered. P(blue or even) =

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Question 1199787: You roll two six-sided fair dice.
a. Let A be the event that either a 4 or 5 is rolled first followed by an even number.
P(A) =
Round your answer to four decimal places.
b. Let B be the event that the sum of the two dice is at most 5.
P(B) =
Round your answer to four decimal places.

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Question 1199772: Let X be a binomial random variable with n = 75 and p = 0.6
a) What is μ?
b) What is σ2?
c) What is the probability of P(x≥52), without continuity correction and with continuity correction.

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Question 1199817: The student council is hosting a drawing to raise money for scholarships. They are selling tickets for $6 each and will sell 900 tickets. There is one $3,000 grand prize, two $300 second prizes, and fifteen $10 third prizes. You just bought a ticket. Find the expected value for your profit. Round to the nearest cent.


$_______

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Question 1199823: A bus comes by every 11 minutes. The times from when a person arives at the busstop until the bus arrives follows a Uniform distribution from 0 to 11 minutes. A person arrives at the bus stop at a randomly selected time. Round to 4 decimal places where possible.
The mean of this distribution is __________
The standard deviation is __________
The probability that the person will wait more than 4 minutes is ________
Suppose that the person has already been waiting for 3 minutes. Find the probability that the person's total waiting time will be between 5.2 and 6.3 minutes _________
33% of all customers wait at least how long for the train?
minutes.__________

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Question 1199822: The age of children in kindergarten on the first day of school is uniformly distributed between 4.97 and 5.71 years old. A first time kindergarten child is selected at random. Round answers to 4 decimal places if possible.

The mean of this distribution is ________
The standard deviation is __________
What is the probability that the child will be older than 5.5 years old? _______
The probability that the child will be between 5.27 and 5.57 years old is________
If such a child is at the 42nd percentile, how old is that child? _________
years old.

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Question 1199875: The student council is hosting a drawing to raise money for scholarships. They are selling tickets for $6 each and will sell 900 tickets. There is one $3,000 grand prize, three $200 second prizes, and thirteen $40 third prizes. You just bought a ticket. Find the expected value for your profit. Round to the nearest cent.
$_________

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Question 1199875: The student council is hosting a drawing to raise money for scholarships. They are selling tickets for $6 each and will sell 900 tickets. There is one $3,000 grand prize, three $200 second prizes, and thirteen $40 third prizes. You just bought a ticket. Find the expected value for your profit. Round to the nearest cent.
$_________

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Question 1199869: Two fair 6-sided dice are tossed, and the up face on each die is recorded. Find the probability of observing each of the following events:
A 5 appears on exactly one of the dice
The sum of the numbers is 10 or more
The difference of the numbers is 2 or less

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Question 1199902: What is the probability that if 11 letters are typed, no letters are repeated?
The probability that no letters are repeated is

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Question 1199907: 66% of all violent felons in the prison system are repeat offenders. If 45 violent felons are randomly selected, find the probability that
( I just need help on letter C, the rest I got them correct)
a. Exactly 29 of them are repeat offenders.
0.1205286384
Correct

b. At most 29 of them are repeat offenders.
0.4682375156
Correct

c. At least 30 of them are repeat offenders. ?
d. Between 27 and 31 (including 27 and 31) of them are repeat offenders.
0.553313931
Correct

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Question 1199911: if a number is chosen at random from the integers 5 to 25 inclusive. Find the probability that the number is multiple of 5 or 3, even or prime number, less or greater than 18
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Question 1199932: A sample preparation for a chemical measurement is completed correctly by 25% of the lab technicians, completed with a minor error by 72% and completed with a major error by 3%. What is the probability that it is completed with either a minior or a major error?
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Question 1199932: A sample preparation for a chemical measurement is completed correctly by 25% of the lab technicians, completed with a minor error by 72% and completed with a major error by 3%. What is the probability that it is completed with either a minior or a major error?
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Question 1199933: Suppose one die is rolled. Consider the following events:
A : the die comes up even
B : the die comes up odd
C : the die comes up 4 or more
D : the die comes up at most 2
E : the die comes up 3

a) Are events C and E mutually exclusive?
b) Are events B and C mutually exclusive?
c) Are events C, D and E mutually exclusive?
d) Are there any four mutually exclusive events among A, B, C, D and E?
e) Are events A and B mutually exclusive?

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Question 1199946: Assume that when adults with smartphones are randomly selected, 41% use them in meetings or classes. If 7 adult smartphone users are randomly selected, find the probability that exactly 2 of them use their smartphones in meetings or classes.
The probability is

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Question 1199955: According to a study done by UCB students, the height for Martian adult males is normally distributed with an average of 66 inches and a standard deviation of 2.4 inches. Suppose one Martian adult male is randomly chosen. Let X = height of the individual. Round all answers to 4 decimal places where possible.
a. What is the distribution of X? X ~ N(_______,_________)

b. Find the probability that the person is between 62.7 and 64.3 inches._______

c. The middle 50% of Martian heights lie between what two numbers?
Low:_______ inches
High:__________ inches

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Question 1199818: 8% of all Americans live in poverty. If 37 Americans are randomly selected, find the probability that
a. Exactly 3 of them live in poverty________
b. At most 5 of them live in poverty_________
c. At least 4 of them live in poverty_________
d. Between 2 and 6 (including 2 and 6) of them live in poverty_______

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Question 1199821: 84% of owned dogs in the United States are spayed or neutered. Round your answers to four decimal places. If 36 owned dogs are randomly selected, find the probability that
a. Exactly 31 of them are spayed or neutered______
b. At most 29 of them are spayed or neutered_______
c. At least 30 of them are spayed or neutered_________
d. Between 29 and 35 (including 29 and 35) of them are spayed or neutered________

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Question 1199820: 62% of all Americans are home owners. If 35 Americans are randomly selected, find the probability that
a. Exactly 22 of them are are home owners________
b. At most 24 of them are are home owners__________
c. At least 22 of them are home owners_________
d. Between 17 and 21 (including 17 and 21) of them are home owners________

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Question 1199819: 49% of all violent felons in the prison system are repeat offenders. If 35 violent felons are randomly selected, find the probability that

a. Exactly 17 of them are repeat offenders_______
b. At most 17 of them are repeat offenders________
c. At least 16 of them are repeat offenders_________
d. Between 15 and 21 (including 15 and 21) of them are repeat offenders_______

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Question 1199819: 49% of all violent felons in the prison system are repeat offenders. If 35 violent felons are randomly selected, find the probability that

a. Exactly 17 of them are repeat offenders_______
b. At most 17 of them are repeat offenders________
c. At least 16 of them are repeat offenders_________
d. Between 15 and 21 (including 15 and 21) of them are repeat offenders_______

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Question 1199959: A coin is Twice as likely to turn up Head as Tails in a sequences of independent
tosses of the coin. What is the probability that the 3rd Head occurs on the 6th
tosses.

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Question 1199971: The mean hourly pay rate for financial manager is $32.62 and the standard deviation $2.32, assume the pay rate are normally distributed.
a.) What is the probability that a financial manager earns between $30 and $35 per hour.
b.) How high must be hourly rate be to put a financial manager in the top 10% with respect to pay.
c.) For a randomly selected financial manager, what is the probability that the manager earns less than $28 per hour.

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Question 1199970: 1. The time needed to complete a final examination in a particular college course is normally distributed with a mean of 80 minutes and standard deviation of 10minutes.
a.) What is the probability of completing the examination in 1hour or less.
b.) What is the probability that a student will complete the exam in more than 60minutes but less than 75 minutes.
c.) Assume that the class has 60students and the examination period is 90minutes, how many student do you expect to be unable to complete the exam in the allotted time.

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Question 1199989: A box contains N white and M black balls. Balls are randomly selected one at
a time, until a black one is obtained. If we assume that each selected ball is
replaced before the next one is drawn, What is the probability that
a) Exactly n draws are needed.
b) At least K draws are needed.

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Question 1199988: In a sequence of independent rolls of a fair die, find the probability that
i) The first 3 is observed on the fifth trial
ii) At least 4 trials are required to obtain a 1

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Question 1199987: In a Statistics Test, there are 10 multiple choice questions each with 3 possible
answers. Find the probability that a student get 8 correct questions by guessing

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Question 1199990: 9. A special task force suspects that some manufacturing companies are in violation of the national pollution regulations with regard to dumping a certain type of toxic material. There are 37 firms that are under suspicion, but all cannot be inspected. Suppose that 12 of the firms are in violation.
a. What is the probability that inspection of 14 firms finds 2 violations?
b. What is the probabilit that inspection of 12 firms finds 3 violations?
c. What is the probability that inspection of 17 firms finds 6 violations?

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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, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 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, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 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