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Phenylthiocarbamide, or PTC, is a molecule that tastes very bitter to those who can taste it. However, about 30% of people cannot taste it, due to a recessive allele in their DNA. Assume that the proportion with this genetic trait is exactly 30%. A researcher administers PTC to 20 randomly-selected subjects. Let X be the number of these subjects who are able to taste PTC
(a) What is the probability distribution of X?
(b) Calculate: (i) the mean and standard deviation of X.
(ii) P( X > 6)
(iii) P( 4 ≤ X ≤ 9)
What interest rate would he need to make his goal come true.
Solve the average cost function.
Describe how to apply the result (c) to minimizing the cost constructing a power transmission cable tat costs c1 dollars per mile under water and c2 dollars per mile over land.
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A wheel of radius 2 feet begins moving down a ramp of height 6 and length 24 feet , turning at 23 revolutions per minute clockwise as it does. At time t = 0 the point P on the wheel is at [0, 6]
A wooden artifact from an ancient tomb contains 40 percent of the carbon-14 that is present in living trees. How long ago was the artifact made? (The half-life of carbon-14 is 5730 years.)
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One professor grades homework by randomly choosing 5 out of 15 homework problems to grade.
In which year will the percentage of voters from group A be the same as the percentage of voters from group B? What percent will be from group A and what percent will be from group B that year?
Each tire on an automobile has a radius of 1.25 feet. How many revolutions per minute does a tire make when the automobile is traveling at a speed of 88 feet per second?
two cars leave a city and head in the same direction. after 7 hours, the faster car is 35 miles ahead of the slower car. the slower car has traveled 329 miles. what is the speed of the two cars?
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