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According to a study done by De Anza students, the height for Asian adult males is normally distributed with an average of 66 inches and a standard deviation of 2.5 inches. Suppose one Asian adult male is randomly chosen. Let X = size 12{X={}} {} height of the individual.

  • X ~ _______ (_______,_______)
  • Find the probability that the person is between 65 and 69 inches. Include a sketch of the graph and write a probability statement.
  • Would you expect to meet many Asian adult males over 72 inches? Explain why or why not, and justify your answer numerically.
  • The middle 40% of heights fall between what two values? Sketch the graph and write the probability statement.
  • N ( 66 , 2.5 ) size 12{X "~" N \( "21",7 \) } {}
  • 0.5404
  • No
  • Between 64.7 and 67.3 inches

IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. Let X = size 12{X={}} {} IQ of an individual.

  • X ~ _______ (_______,_______)
  • Find the probability that the person has an IQ greater than 120. Include a sketch of the graph and write a probability statement.
  • Mensa is an organization whose members have the top 2% of all IQs. Find the minimum IQ needed to qualify for the Mensa organization. Sketch the graph and write the probability statement.
  • The middle 50% of IQs fall between what two values? Sketch the graph and write the probability statement.

The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a standard deviation of 10. Suppose that one individual is randomly chosen. Let X = size 12{X={}} {} percent of fat calories.

  • X ~ _______ (_______,_______)
  • Find the probability that the percent of fat calories a person consumes is more than 40. Graph the situation. Shade in the area to be determined.
  • Find the maximum number for the lower quarter of percent of fat calories. Sketch the graph and write the probability statement.
  • N ( 36 , 10 ) size 12{X "~" N \( 3,1 "." 5 "." \) } {}
  • 0.3446
  • 29.3

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet.

  • If X = size 12{X={}} {} distance in feet for a fly ball, then X ~ _______ (_______,_______)
  • If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 220 feet? Sketch the graph. Scale the horizontal axis X. Shade the region corresponding to the probability. Find the probability.
  • Find the 80th percentile of the distribution of fly balls. Sketch the graph and write the probability statement.

In China, 4-year-olds average 3 hours a day unsupervised. Most of the unsupervised children live in rural areas, considered safe. Suppose that the standard deviation is 1.5 hours and the amount of time spent alone is normally distributed. We randomly survey one Chinese 4-year-old living in a rural area. We are interested in the amount of time the child spends alone per day. (Source: San Jose Mercury News )

  • In words, define the random variable X size 12{X} {} . X = size 12{X={}} {}
  • X ~
  • Find the probability that the child spends less than 1 hour per day unsupervised. Sketch the graph and write the probability statement.
  • What percent of the children spend over 10 hours per day unsupervised?
  • 70% of the children spend at least how long per day unsupervised?
  • the time (in hours) a 4-year-old in China spends unsupervised per day
  • N ( 3,1 . 5 ) size 12{X "~" N \( 3,1 "." 5 "." \) } {}
  • 0.0912
  • 0
  • 2.21 hours

Questions & Answers

A golfer on a fairway is 70 m away from the green, which sits below the level of the fairway by 20 m. If the golfer hits the ball at an angle of 40° with an initial speed of 20 m/s, how close to the green does she come?
Aislinn Reply
cm
tijani
what is titration
John Reply
what is physics
Siyaka Reply
A mouse of mass 200 g falls 100 m down a vertical mine shaft and lands at the bottom with a speed of 8.0 m/s. During its fall, how much work is done on the mouse by air resistance
Jude Reply
Can you compute that for me. Ty
Jude
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what is viscosity?
David
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emma Reply
what is chemistry
Youesf Reply
what is inorganic
emma
Chemistry is a branch of science that deals with the study of matter,it composition,it structure and the changes it undergoes
Adjei
please, I'm a physics student and I need help in physics
Adjanou
chemistry could also be understood like the sexual attraction/repulsion of the male and female elements. the reaction varies depending on the energy differences of each given gender. + masculine -female.
Pedro
A ball is thrown straight up.it passes a 2.0m high window 7.50 m off the ground on it path up and takes 1.30 s to go past the window.what was the ball initial velocity
Krampah Reply
2. A sled plus passenger with total mass 50 kg is pulled 20 m across the snow (0.20) at constant velocity by a force directed 25° above the horizontal. Calculate (a) the work of the applied force, (b) the work of friction, and (c) the total work.
Sahid Reply
you have been hired as an espert witness in a court case involving an automobile accident. the accident involved car A of mass 1500kg which crashed into stationary car B of mass 1100kg. the driver of car A applied his brakes 15 m before he skidded and crashed into car B. after the collision, car A s
Samuel Reply
can someone explain to me, an ignorant high school student, why the trend of the graph doesn't follow the fact that the higher frequency a sound wave is, the more power it is, hence, making me think the phons output would follow this general trend?
Joseph Reply
Nevermind i just realied that the graph is the phons output for a person with normal hearing and not just the phons output of the sound waves power, I should read the entire thing next time
Joseph
Follow up question, does anyone know where I can find a graph that accuretly depicts the actual relative "power" output of sound over its frequency instead of just humans hearing
Joseph
"Generation of electrical energy from sound energy | IEEE Conference Publication | IEEE Xplore" ***ieeexplore.ieee.org/document/7150687?reload=true
Ryan
what's motion
Maurice Reply
what are the types of wave
Maurice
answer
Magreth
progressive wave
Magreth
hello friend how are you
Muhammad Reply
fine, how about you?
Mohammed
hi
Mujahid
A string is 3.00 m long with a mass of 5.00 g. The string is held taut with a tension of 500.00 N applied to the string. A pulse is sent down the string. How long does it take the pulse to travel the 3.00 m of the string?
yasuo Reply
Who can show me the full solution in this problem?
Reofrir Reply
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Source:  OpenStax, Collaborative statistics using spreadsheets. OpenStax CNX. Jan 05, 2016 Download for free at http://legacy.cnx.org/content/col11521/1.23
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