Ounce Bar
Ounce Bar
Find the probability that a chocolate bar will be randomly selected these calories.?
The average number of calories in a bar 1.5 ounces of chocolate is 225. Suppose that the distribution of calories is approximately normal with standard deviation = 10. Find the probability a bar of chocolate that have been selected randomly a) Between 200 and 220 calories b) Less than 200 calories
For any normal random variable with mean μ and standard deviation σ, X ~ Normal (μ, σ) (note that in most textbooks and literature the notation is the variance, ie, X ~ Normal (μ, σ ²). Most software is the standard deviation with only the standard.) You can translate into standard normal units: Z = (X - μ) / σ Moving from the normal to the original distribuiton using: X = μ + Z * σ, where Z ~ Normal (μ = 0, σ = 1). Then may use the standard normal cdf tables to get probabilities. If you're looking at the mean of a sample, remember that for any sample with a size large enough sample of the mean are normally distributed. This is called the central limit theorem. If a sample size is drawn from a population with mean μ and standard deviation σ XBAR then the average of the sample is normally distributed with mean μ and standard deviation σ / √ (n) An applet to find the values http://www-stat.stanford.edu/ ~ naras / jsm / FindProbability.html http://stattrek.com/Tables/normal.aspx calculator to read the tables http://rlbroderson .tripod.com/statistics/norm_prob_dist_ed9.html In this issue we have X ~ Normal (μx = 225, σx ² = 100) X ~ Normal (μx = 225, σx = 10) Find P (200 <X <220) = P ((200 - 225) / 10 <(X - μ) / σ <(220 - 225) / 10) = P (-2.5 <Z <-0.5) = P (Z <-0.5) - P ( Z <-2.5) = 0.3085375 to 0.006209665 = 0.3023279 Find P (X <200) P ((X - μ) / σ <(200 - 225) / 10) = P (Z <-2.5) = 0.006209665
|
|
1 TROY OZ CANADA GOLD CLAD .999 MAPLE COIN GEM ART BAR~ $2.75 |
|
|
25x CANADA MAPLE LEAF - 1 TROY OUNCE .999 GOLD CLAD - PROOF ART BAR - CANADIAN $79.95 |
|
|
1 OZ .999 COPPER BULLION INGOT / BAR **2012** AMERICAN EAGLE DESIGN +FREE SILVER $1.99 |
|
|
1 OZ GERMAN NAZI .999 PURE 24K GOLD LAYERED 3RD REICH IRON WWI WWII BULLION BAR! $2.27 |
|
|
1 OZ GERMAN NAZI .999 PURE 24K GOLD LAYERED 3RD REICH IRON WWI WWII BULLION BAR! $9.99 |
|
|
10 -1 TROY OZ .999 SILVER CLAD LIBERTY EAGLE ART BARS $79.95 |
|
|
.999 FINE SOLID TITANIUM BULLION BAR - SSB MINT - 1/4 OZ - KANGAROO $1.23 |
|
|
★ 1 TROY OUNCE ★ .999 SILVER CLAD ★ AMERICAN INDIAN STATUE OF LIBERTY ART BAR ★ $5.95 |
|
|
★ AMERICAN BUFFALO ★ LIBERTY EAGLE ★ 1 TROY OUNCE ★ .999 FINE GOLD CLAD ★ART BAR $5.95 |
|
|
FIVE ★ 1 TROY OUNCE Oz .999 GOLD CLAD AMERICAN INDIAN STATUE OF LIBERTY ART BAR $22.95 |
|
|
FIVE ★ AMERICAN BUFFALO ★ LIBERTY EAGLE ★ 1 TROY OUNCE Oz .999 GOLD CLAD ART BAR $22.95 |
|
|
10 -1 TROY OZ .999 SILVER CLAD LIBERTY EAGLE ART BARS $59.95 |
|
|
1 TROY OZ .999 SILVER CLAD MAPLE LEAF BU GEM ART BAR $12.95 |
|
|
★★ 1 TROY OZ TIMBERWOLF YOSEMITE GOLD CLAD 24k ART BAR ★ WIN NOW ★ COLLECT ★★ $7.95 |
|
|
1 TROY OZ .999 SILVER CLAD MAPLE LEAF BU GEM ART BAR $3.95 |
|
|
1 Troy OZ. Silver Bullion Bar JOHNSON MATTHEY LOW SERIAL NUMBERS!!!! $36.55 |
|
|
1 TROY OZ GOLD CLAD .99 24k MAPLE COIN BULLION ART BAR~ $9.95 |
|
|
10 -1 TROY OZ .999 SILVER CLAD LIBERTY EAGLE ART BARS $59.95 |
|
|
1 Troy oz Ounce COPPER $1000 One Thousand Dollar Bill Bar .999 Fine Bullion $4.95 |
|
|
★ STATUE OF LIBERTY ★ 1 TROY Oz 24k .999 FINE GOLD CLAD AMERICAN INDIAN ART BAR $9.95 |
|
|
CANADA MAPLE LEAF BULLION ART BAR TROY OZ GOLD CLAD ~ $4.95 |
|
|
COUNT DRACULA VAMPIRE 24k .999 FINE GOLD CLAD TROY OUNCE BAR TRANSYLVANIA $9.95 |
|
|
50x BALD EAGLE GRAND CANYON 999 24k FINE GOLD AU CLAD TROY OZ MINT PROOF ART BAR $195.95 |
|
|
NR! 1 OZ GERMAN NAZI 999 PURE 24K GOLD CLAD 3RD REICH IRON WWI WWII BULLION BAR! $7.50 |
|
|
5 Lot ★ 1 OZ. 24k .999 GOLD CLAD BUFFALO BISON BULLION BAR LOT $24.95 |
|
|
RARE 1912 TITANIC SHIP GOLD BAR! 1 OZ .999 24K PURE LAYERED BULLION COIN BAR NR! $4.02 |
|
|
1 OZ GERMAN NAZI .999 PURE 24K GOLD LAYERED 3RD REICH IRON WWI WWII BULLION BAR! $2.27 |
|
|
10 ONE TROY OZ .999 FINE SILVER CLAD MARIJUANA GEM BARS $39.95 |
|
|
1 Troy oz. German Silver Bullion Buffalo Bar $3.25 |
|
|
1973 HALLOWEEN SILVER BAR, 1 troy ounce, The DOUBLE Mc MINT $45.00 |
|
|
Scottsdale USA Silver 1 oz 1oz Silver Bullion Bar Ingot 999 Fine Troy Ounce $44.25 |
|
|
.999 FINE SOLID ZINC BULLION BAR - SSB MINT - 1 OZ - KANGAROO $3.93 |
|
|
Scottsdale USA Silver 1kg 1 Kilo Silver Bullion Bar Ingot 999 Fine Troy Ounce $1,390.66 |
|
|
Scottsdale USA Silver 5 oz 5oz Silver Bullion Bar Ingot 999 Fine Troy Ounce $221.24 |
|
|
1 oz .999 Pure Silver Plate Liberty Eagle Art Bars $15.75 |
|
|
100 YR ANNIVERSARY! 1912 RMS TITANIC 1 OZ .999 24K PURE GOLD LAYERED BULLION BAR $4.25 |
|
|
50x ZOMBIE BAR - COLORIZED 1 TROY OUNCE Oz .999 24k GOLD CLAD KILL ALL ZOMBIES $239.95 |
|
|
2011 Walking Liberty .999 Fine Copper Bullion Bars 8 Oz $10.75 |
|
|
ORIGINAL ONE TROY OUNCE .999 PURE SILVER BUFFALO BAR, SEALED IN MINT PLASTIC, A+ $36.51 |
|
|
1 Troy OZ. Silver Bullion Bar JOHNSON MATTHEY LOW SERIAL NUMBERS!!!! $35.59 |
|
|
12x 1 OZ. 24k .999 GOLD CLAD BUFFALO BULLION BAR LOT ~ $59.95 |
|
|
1 OZ GERMAN NAZI .999 PURE 24K GOLD LAYERED 3RD REICH IRON WWI WWII BULLION BAR! $9.99 |
|
|
1 TROY OZ .999 SILVER CLAD MAPLE LEAF BU GEM ART BAR $4.95 |
|
|
50 ★ 1 TROY OUNCE .999 SILVER CLAD ★ AMERICAN INDIAN STATUE OF LIBERTY ART BARS $149.95 |
|
|
1 OZ .999 COPPER BULLION INGOT / BAR **2012** AMERICAN EAGLE DESIGN +FREE SILVER $1.99 |
|
|
BREACHING WHALE HAWAIIAN ISLANDS 1 TROY OUNCE .999 FINE GOLD CLAD PROOF ART BAR $7.95 |
|
|
100x CANADA MAPLE LEAF - 1 TROY OUNCE .999 GOLD CLAD - PROOF ART BAR - CANADIAN $249.95 |
|
|
50 ★ AMERICAN BUFFALO ★ LIBERTY EAGLE ★ 1 TROY OUNCE Oz .999 GOLD CLAD ★ ART BAR $149.95 |
|
|
100 ★ 1 TROY OUNCE Oz .999 GOLD CLAD ★ AMERICAN INDIAN STATUE OF LIBERTY ART BAR $294.95 |
|
|
BUFFALO ~~~MADISON 1/4 OZ ULTRA RARE SILVER ART BAR~ $47.75 |
|
|
█ ONE TROY OZ .999 SILVER CLAD CANADA MAPLE LEAF FLAG ART BAR ██ COLLECT & WIN █ $5.95 |
|
|
1 OZ GERMAN NAZI .999 PURE 24K GOLD LAYERED 3RD REICH IRON WWI WWII BULLION BAR! $2.27 |
|
|
1 TROY OZ OUNCE BUFFALO BAR 24k .999 GOLD CLAD ART BAR $6.95 |
|
|
MORGAN Art Tribute ★ 1/10 Ounce oz PURE .999 SILVER BULLION Round ★ bar invest ★ $14.95 |
|
|
1 TROY OZ .999 SILVER CLAD MAPLE LEAF BU GEM ART BAR $6.95 |
|
|
★ AMERICAN INDIAN ★ STATUE OF LIBERTY 1 TROY Oz 24k .999 FINE GOLD CLAD ART BAR $24.95 |
|
|
10 -1 TROY OZ .999 SILVER CLAD MAPLE LEAF BU ART BARS $42.95 |
|
|
RARE MORGAN Tribute ★ 1/10th oz Ounce Silver BULLION Round ★ PURE .999 Fine Bar $18.95 |
|
|
10 -1 TROY OZ .999 SILVER CLAD MAPLE LEAF BU ART BARS $42.95 |
|
|
1 TROY OZ .999 SILVER CLAD MARIJUANA COLORIZED ART BAR $9.95 |
|
|
5 - 1 oz COPPER ROUND AMERICAN EAGLE 2012 .999 PURE BULLION COIN INGOT BAR $15.50 |
|
|
RARE 1 oz SALUTE TO HISTORY'S COINAGE BRONZE ART BAR ~ MOTHER~LODE MINT $27.75 |
|
|
1 oz .999 Pure Silver Plate Liberty Eagle Art Bars $15.75 |
|
|
1- 1oz COPPER ROUND AMERICAN EAGLE 2012 .999 PURE BULLION COIN BAR INGOT $0.99 |
|
|
10 Pds 999 Fine Copper Bullion 20 Half Pound 1/2 Bars 160 oz + Free Coin Round $79.40 |
|
|
1 OZ GERMAN NAZI .999 PURE 24K GOLD LAYERED 3RD REICH IRON WWI WWII BULLION BAR! $2.01 |
|
|
1 OZ .999 COPPER BULLION INGOT / BAR **2012** MORGAN HEAD DESIGN +FREE SILVER $1.99 |
|
|
Buchan Bull Canadian 12oz fine silver bullion poured bar - first early mint run $727.00 |
|
|
10 -1 TROY OZ .99 SILVER CLAD AMERICAN BUFFALO ART BARS $59.95 |
|
|
10 troy ounce NTR .999 pure silver bar $320.00 |
|
|
TWO 1 Ounce oz 24K Pure GOLD Plate Maple LeaF Art Bars $24.99 |
|
|
TEN 1 Ounce oz .999 Pure Silver Plate Maple Art Bars $129.99 |
|
|
100 YR ANNIVERSARY! 1912 RMS TITANIC 1 OZ .999 24K PURE GOLD LAYERED BULLION BAR $4.25 |
|
|
LOT X 5 1 TROY OZ TIN .999 FINE BUFFALO BULLION BARS $26.99 |
|
|
LOT X 10 1 TROY OZ TIN .999 FINE BUFFALO BULLION BARS $51.99 |
|
|
2011 INDIAN HEAD COPPER BAR 8oz .999 FINE 1/2 POUND $3.75 |
|
|
1 TROY OZ TIN .999 FINE RARE BUFFALO BULLION BAR $6.93 |
|
|
★★ 10 - 1 TROY OZ U.S. $1 DOLLAR BILL DESIGN SILVER CLAD ART BARS .999 FINE ★ ★ $59.95 |
|
|
Silver Bar 1 Ounce Troy oz .999 Fine Silver Pan American $45.00 |
|
|
BALD EAGLE .999 24k FINE GOLD AU CLAD TROY OZ MENT GEM PROOF ART BAR $12.95 |
|
|
1DAY! 1 OZ GERMAN NAZI .999 PURE 24K GOLD CLAD 3RD REICH IRON WWI WWII COIN BAR! $2.01 |
|
|
TEN ★ 1 TROY OUNCE Oz .999 GOLD CLAD ★ AMERICAN INDIAN STATUE OF LIBERTY ART BAR $32.95 |
|
|
1 oz .999 Pure Silver Plate Liberty Eagle Art Bars $15.75 |
|
|
1oz Pamp lunar dragon .999 Silver Bar $77.87 |
|
|
1 TROY OZ .999 SILVER CLAD MARIJUANA COLORIZED ART BAR $9.95 |
|
|
TWO 1 Ounce oz .999 Pure Silver Plate "GIRLS GONE WILD" Art Bars $24.99 |
|
|
1 TROY OZ .999 GERMAN SILVER "BUFFALO" BULLION BAR W/ AIR TIGHT CASE $3.25 |
|
|
CLASSIC BUFFALO 1 OZ Silver Art Bar/Bars .999 Bullion! $33.59 |
|
|
1 TROY Oz .99 24k FINE GOLD CLAD LUCKY FRENCH ANGEL BAR $5.95 |
|
|
MORGAN SILVER BAR 5 oz .999 NEW ~ SEALED IN PLASTIC ! $174.00 |
|
|
10-1 Oz .999 Silver Bars Silvertowne Bullion 10 Ounces .999 Fine $323.35 |
|
|
★★ 1 TROY OZ BALD EAGLE GRAND CANYON GOLD CLAD 24k ART BAR ★ WIN NOW ★ COLLECT ★ $8.95 |
|
|
Scottsdale STACKER® 10 Troy oz Silver Bar .999+ Bullion $326.00 |
|
|
NEW! GOLD CLAD ART BAR BUFFALO HEAD 1 OZ TROY OUNCE $43.95 |
|
|
NEW! GOLD CLAD BUFFALO BAR 1 OZ .999 24K USA ART BAR $6.95 |
|
|
1/4 TROY OUNCE .999 FINE SILVER BAR NORTHWEST TERRITORIAL MINT $9.99 |
|
|
1 Troy oz. German Silver Bullion Buffalo Bar $3.25 |
|
|
RARE RMS S.S. 1912 3-D TITANIC SHIP GOLD BAR! 1 OZ .999 24K PURE LAYERED BULLION $4.25 |
|
|
1 TROY OZ .999 SILVER CLAD MAPLE LEAF BU GEM ART BAR $7.95 |
|
|
Lot of 1 .999 Fine 1/4 Ounce Pure Niobium BULLION! Bar $14.99 |
