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Question 1197854: An economics professor randomly selected 10 millionaires in the United States. The average age of these millionaires was 54.8 years with a standard deviation of 7.9 years. What is the 95% confidence interval for the mean age of all United States millionaires?

Click here to see answer by ewatrrr(24785)

Question 1197871: 750 eggs are randomly sampled from a population where 14% of all eggs are fertilized. Use the normal approximation to the binomial to find the following probabilities rounded to 3 decimal places.

a. Find the probability that exactly 106 of the eggs are fertilized. Correct
b. Find the probability that at least 106 of the eggs are fertilized. Incorrect
c. Find the probability that fewer than 106 of the eggs are fertilized. Incorrect
d. Find the probability that between 104 and 106, inclusive, of the eggs are fertilized.
Click here to see answer by ewatrrr(24785)

Question 1197870: 71% of all voters favor Proposition A and a random sample of 200 voters is taken. Use the normal approximation to the bonomial to find the following probabilities rounded to 3 decimal places.

a. Find the probability that more than 140 of the voters favor Proposition A. Incorrect
b. Find the probability that at most 150 of the voters favor Proposition A. Incorrect
c. Find the probability that between 141 and 149, inclusive, of the voters favor Proposition A.
Click here to see answer by ewatrrr(24785)

Question 1197869: There is a 8% chance of a certain type of light bulb being defective and there are 500 of these bulbs randomly sampled. Use the normal approximation to the binomial to find the following probabilities rounded to 3 decimal places.

a. Find the probability that fewer than 50 of the bulbs are defective.
b. Find the probability that more than 50 of the bulbs are defective.
c. Find the probability that between 40 and 50, inclusive, of the bulbs are defective.
Click here to see answer by ewatrrr(24785)

Question 1197876: Determine the probability distribution for a number chosen randomly between the integer values 10 and 15, inclusive, then display the probabilities in a bar graph
Click here to see answer by math_tutor2020(3816)

Question 1197875: Classify each of the following random variables as discrete or continuous.
a) Number of times you catch a ball in a basketball game
b) Length of time you play in a basketball game
c) Length of a car in centimeters
d) Number of red cars on the highway

Click here to see answer by math_tutor2020(3816)

Question 1197884: 4. scores on an achievement test are known to be normally distributed with a mean of 420 and a standard deviation of 80. a. what is the probability of a score between 400 and 480? b. what is the minimum test score needed in order to be in the top 5 % of all people taking the test?
Click here to see answer by ewatrrr(24785)

Question 1197892: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 9.3 years, and standard deviation of 1.7 years.
If you randomly purchase one item, what is the probability it will last longer than 11 years?
Round answer to four decimal places
Click here to see answer by ewatrrr(24785)

Question 1197893: In the country of United States of Height, the height measurements of ten-year-old children are approximately normally distributed with a mean of 55.7 inches, and standard deviation of 8.9 inches.
What is the probability that the height of a randomly chosen child is between 65.45 and 73.55 inches? Do not round until you get your your final answer, and then round to 3 decimal places.
Answer=
(Round your answer to 3 decimal places.)

Click here to see answer by ewatrrr(24785)

Question 1197894: The heights of adult men in America are normally distributed, with a mean of 69.1 inches and a standard deviation of 2.65 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.8 inches and a standard deviation of 2.59 inches.
a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)?
z =

b) If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)?
z =

c) Who is relatively taller?
-The 5 foot 11 inch American woman
-The 6 foot 3 inch American man
Click here to see answer by ewatrrr(24785)

Question 1197903: Currently Samsung ships 24.8 percent of the organic light-emitting diode (OLED) displays in the world. Let S be the event that a randomly selected OLED display was made by Samsung. solve for p(s) p(s') odds in favor of event s odds against event s'
Click here to see answer by Theo(13342)

Question 1197919: James designed a game that uses a spinner with twelve equal sectors numbered 1 to 12. If the spinner stops on an odd number, a player gains that number of points. However, if the spinner stops on an even number, the player losses that number of points.

a) Show the probability distribution of points in this game (table only)

b) What is the expected number of points per spin?

c) Is the game fair? Explain

Click here to see answer by math_tutor2020(3816)

Question 1197916: Scores on a standardized exam are known to follow a normal distribution with standard deviation = 16. A researcher randomly selects 110 students and computes their average score. He reports that the mean score is 74.7, with a margin of error of 1.471.
How confident are you that the mean score for all students taking the exam is in the interval (73.229, 76.171)?
Click here to see answer by math_tutor2020(3816)

Question 1197914: A researcher wants to estimate the mean blood cholesterol level of young men ages 15-25 with a 81.26% confidence interval. The blood cholesterol level of young men follows a Normal distribution with standard deviation = 30 mg/dl. How large a sample would the researcher need to take to estimate the mean blood cholesterol to within 9 mg/dl?

Click here to see answer by ewatrrr(24785)

Question 1197913: A researcher wants to estimate the mean blood cholesterol level of young men ages 15-25 with a 96.66% confidence interval. The blood cholesterol level of young men follows a Normal distribution with standard deviation = 50 mg/dl. How large a sample would the researcher need to take to estimate the mean blood cholesterol to within 5 mg/dl?
Click here to see answer by ewatrrr(24785)

Question 1197941: In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities.
It is estimated that 3.5% of the general population will live past their 90th birthday. In a graduating class of 781 high school seniors, find the following probabilities. (Round your answers to four decimal places.)
(a) 15 or more will live beyond their 90th birthday

(b) 30 or more will live beyond their 90th birthday

(c) between 25 and 35 will live beyond their 90th birthday

(d) more than 40 will live beyond their 90th birthday

Click here to see answer by ewatrrr(24785)

Question 1197939: In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities.
More than a decade ago, high levels of lead in the blood put 89% of children at risk. A concerted effort was made to remove lead from the environment. Now, suppose only 16% of children in the United States are at risk of high blood-lead levels.
(a) In a random sample of 202 children taken more than a decade ago, what is the probability that 50 or more had high blood-lead levels? (Round your answer to three decimal places.)
(b) In a random sample of 202 children taken now, what is the probability that 50 or more have high blood-lead levels? (Round your answer to three decimal places.)
Click here to see answer by ewatrrr(24785)

Question 1197942: The distribution of study times for first year students follows a Normal distribution with standard deviation = 55 minutes. Suppose a sample of 341 students found that the mean study time for these students was
= 189 minutes per week. Use this to find a 95% confidence interval to estimate the mean study time for all students.
We are 95% confident that the mean study time for first year students is between
______ minutes and _______ minutes.
Click here to see answer by ewatrrr(24785)

Question 1197943: The distribution of study times for first year students follows a Normal distribution with standard deviation = 55 minutes. Suppose a sample of 341 students found that the mean study time for these students was
= 189 minutes per week. Use this to find a 95% confidence interval to estimate the mean study time for all students.
We are 95% confident that the mean study time for first year students is between
______ minutes and _______ minutes.
Click here to see answer by ewatrrr(24785)

Question 1197940: In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities.
Do you try to pad an insurance claim to cover your deductible? About 38% of all U.S. adults will try to pad their insurance claims! Suppose that you are the director of an insurance adjustment office. Your office has just received 136 insurance claims to be processed in the next few days. Find the following probabilities. (Round your answers to four decimal places.)
(a) half or more of the claims have been padded

(b) fewer than 45 of the claims have been padded

(c) from 40 to 64 of the claims have been padded

(d) more than 80 of the claims have not been padded

Click here to see answer by ewatrrr(24785)

Question 1197951: The possible ways to complete a multiple-choice test consisting of 21 questions, with each question having four possible answers (a, b, c, or d).

Click here to see answer by math_tutor2020(3816)

Question 1197734: The financial aid officer at a South African university wishes to estimate the mean cost of textbooks per semester for students. For the estimate to be useful it should be within R{13} of the true population mean. How large a sample should be used in order to be 95% confident of achieving this level of accuracy if we know the population standard deviation is R{92}?
Click here to see answer by Theo(13342)

Question 1197957: Two boxes of men’s Old Navy shirts were received from the factory. Box 1 contained 25 mesh polo shirts and 15 Super-T shirts. Box 2 contained 30 mesh polo shirts and 10 180.CEO Paid More CEO Paid Less Than $1 Million Than$1 Million Total Shareholders made money 2 11 13 Shareholders lost money 4 3 7 Total 6 14 20. Super-T shirts. One of the boxes was selected at random, and a shirt was chosen at random from that box to be inspected. The shirt was a mesh polo shirt. Given this information, what is the probability that the mesh polo shirt came from box 1?

Click here to see answer by greenestamps(13198)

Question 1197944: An investment will be worth $1000, $2000, or $5000 at the end of the year. The probabiltiies of the values are 0.25, 0.60, and 0.15 respectively. Determine the mean and variance of the worth of the investment. (You may use Excel to solve this problem).
Click here to see answer by Theo(13342)

Question 1197965: A recent study of 300 patients found that of 100 alcoholic patients, 87 had evaluated cholesterol level, and of 200 nonacoholic patients, 43 had evaluated cholesterol levels, if a patient is selected at a random, find the probability that the patient is the following, a, an alcoholic with evaluated cholesterol level? b, a nonalcoholic? C,a nonalcoholic with non evaluated cholesterol level
Click here to see answer by ewatrrr(24785)

Question 1197971: a lottery offers one $1000 prize, one $500 prize, and five $100 prizes. one thousand tickets are sold at $3 each. find the expectation if a person buys one ticket.
Click here to see answer by Theo(13342)

Question 1197985: Let n be a positive integer and
0, t<0, FX(t)=⌊t⌋, 0≤t n
1, t≥n,
where ⌊t⌋ is the greatest integer less than or equal to t. Find the probability mass function (PMF) of X.
Click here to see answer by ikleyn(52776)

Question 1197984: The cumulative distribution function of a random variable X is given by
0, t<−2,


1/8, −2≤t<−1, 
FX(t)= 1/2, −1≤t<1, 

2/3, 1≤t<3,
  1 , t ≥ 3 . (a) Determine probability mass function (PMF) of X.
(b) Compute P(X(X + 1) > 0).
Click here to see answer by ikleyn(52776)

Question 1197983: The function
  0 , x < − 1 , 

1
, −1≤x<1, 4
F(x)= 21, 1≤x<2,
7

, 2≤x<4, 8
 1 , x ≥ 4 .
is the distribution function of the random variable X. Compute
(a) P(X ≤2)−P(X >2), (b) P(X = 3),
(c) P(X2 − 1 = 0).
Click here to see answer by ikleyn(52776)

Question 1198008: A pair of dice is rolled 12 times. The probability that doubles are rolled exactly 3 times is:
Click here to see answer by Alan3354(69443)

Question 1198005: Ten-member jury for a criminal case will be selected from a pool of 12 men and 12 women. What is the
probability that the jury will have 5 men and 5 women?
Click here to see answer by ikleyn(52776)

Question 1198006: There are 20 Smarties in a dish. Eight are brown, three red, five green and four yellow. Two candies are picked
from the dish at random.
a) What is the probability that both are red?
b) What is the expected number of red candies?
Click here to see answer by ikleyn(52776)

Question 1198007: What is the expected number of men on a six-member jury randomly chosen from 10 women and 14 men?
Click here to see answer by MathLover1(20849)

Question 1198004: What is the expected number of women on a six-member jury randomly chosen from 12 women and 10 men?
Click here to see answer by MathLover1(20849)

Question 1198017: Question 1
-The 112 students sat for an examination.Question 1 was answered by 50 students,Question 2 by 66 students,Question 3 by 38 students.32 students attempeted Q2 and Q1,22 students attempted Q2&Q3,20 students attempted Q3&Q1,8 students attempted all the questions.How many students didn't attempt any questi
Question 2
Supposed 2 coins are tosed,events A and B are defined as follows; A is the event of getting a head in the first coin.B is the event that the coin falls alike.Fknd the probability of the event A happening given that B has happened and the probability of event B happening given that A has already happened.
Question 3
Past records shown that the probability of a school football twam winning a match is 0.7.How many possible games might the school win in 30 matches
Click here to see answer by ikleyn(52776)

Question 1198014: n a study published in the American Journal of Psychiatry, researchers wanted to measure the effect of alcohol on the hippocampal region, the portion of the brain responsible for long-term memory storage, in adolescents. The researchers randomly selected 12 adolescents with alcohol use disorders to determine whether the hippocampal volumes in the alcoholic adolescents were less than the normal volume of 9.02 cubic centimeters (cm3). An analysis of the sample data revealed that the hippocampal volume is approximately normal with mean 8.10 cm3 and standard deviation 0.7 cm3.
Fill in the blanks below regarding the conclusion of the appropriate hypothesis test:
At a 1% level of significance, the data PROVIDES OR DOES NOT PROVIDE sufficient evidence that hippocampal volumes in alcoholic adolescents ARE OR ARE NOT below the normal level.
Click here to see answer by Theo(13342)

Question 1198018: Toss a coin 4 times, what is the probability of flipping a head?

Click here to see answer by ikleyn(52776)

Question 1197993: The body temperatures of adults are normally distributed with a mean of 98.6 ° F and a standard deviation of 0.60° F. If 25 adults are randomly selected, find the probability that their mean body temperature is less than 99° F
Click here to see answer by ewatrrr(24785)

Question 1198013: The U.S. Golf Association (USGA) requires that its golf balls have a diameter that is 1.68 inches. To determine if Maxfli XS golf balls conform to USGA standards, and random sample of nine Maxfli XS golf balls was selected. Their diameters were as follows:
1.683, 1.684, 1.685, 1.685, 1.678, 1.686, 1.674, 1.673, 1.681
Assume that the population of diameters of Maxfli XS golf balls is approximately normal.
Determine the P-value for the appropriate hypothesis test. Round your answer to four decimal places.
Click here to see answer by ewatrrr(24785)

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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, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 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