Q. are analyzed: a) what is probability that at least 3 are hyperlipidemia? b) what is the probability that exactly 3 are hyperlipidemic? and c) how many would be expected to meet the criteria for hyperlipidemia?
A. a. ANSWER: PROBABILITY = 0.75 at least 3 are hyperlipidemia
Why???
BINOMIAL DISTRIBUTION, POPULATION PROPORTION
n = NUMBER OF TRIALS [ 12] (sample size)
k = NUMBER OF SUCCESSES [2] (from 0 up to and including k NUMBER OF SUCCESSES)
p = POPULATION PROPORTION [30%]
significant digits2
COMPUTATION OF BINOMIAL PROPORTION:
P(k => 3) = 1 - P(k ⤠2) = 1 - n!/[k!*(n - k)!] * p^k * (1 - p)^(n - k)
0.75 = 12!/[2!*(12 - 2)!] * 0.3^2 * (1 - 0.3)^(12 - 2)
ALTERNATIVE COMPUTATION USING EXCEL:
"Look-up" value of PROBABILITY = 0.75 = 1 - BINOMDIST ( 2 , 12 , 30/100 , TRUE )
"Using Excel function: BINOMDIST(number_s, trials, probability_s, cumulative)
Number_s is the number of successes in trials. [ 12 ]
Trials is the number of independent trials. [ 2 ]
Probability_s is the probability of success on each trial. [ 30]"
Cumulative is a logical value that determines the form of the function. If cumulative is TRUE, then BINOMDIST returns the cumulative distribution function, which is the probability that there are at most number_s successes; if FALSE, it returns the probability mass function, which is the probability that there are number_s successes.
b. ANSWER: PROBABILITY = 0.24 exactly 3 are hyperlipidemic
Why???
BINOMIAL DISTRIBUTION, POPULATION PROPORTION
n = NUMBER OF TRIALS [ 12] (sample size)
k = NUMBER OF SUCCESSES [3] (Exactly 3 NUMBER OF SUCCESSES)
p = POPULATION PROPORTION [30%]
significant digits2
COMPUTATION OF BINOMIAL PROPORTION:
P(k = 3) = n!/[k!*(n - k)!] * p^k * (1 - p)^(n - k)
0.24 = 12!/[3!*(12 - 3)!] * 0.3^3 * (1 - 0.3)^(12 - 3)
ALTERNATIVE COMPUTATION USING EXCEL:
"Look-up" value of PROBABILITY = 0.24 =BINOMDIST ( 3 , 12 , 30/100 , FALSE )
"Using Excel function: BINOMDIST(number_s, trials, probability_s, cumulative)
Number_s is the number of successes in trials. [ 12 ]
Trials is the number of independent trials. [ 3 ]
Probability_s is the probability of success on each trial. [ 30]"
Cumulative is a logical value that determines the form of the function. If cumulative is TRUE, then BINOMDIST returns the cumulative distribution function, which is the probability that there are at most number_s successes; if FALSE, it returns the probability mass function, which is the probability that there are number_s successes.
c. ANSWER: (approx) 4 children expected to be hyperlipidemic
Why???
SAMPLE SIZE * POPULATION PROPORTION = EXPECTED [12 * 0.3 = (approx) 4]
Why???
BINOMIAL DISTRIBUTION, POPULATION PROPORTION
n = NUMBER OF TRIALS [ 12] (sample size)
k = NUMBER OF SUCCESSES [2] (from 0 up to and including k NUMBER OF SUCCESSES)
p = POPULATION PROPORTION [30%]
significant digits2
COMPUTATION OF BINOMIAL PROPORTION:
P(k => 3) = 1 - P(k ⤠2) = 1 - n!/[k!*(n - k)!] * p^k * (1 - p)^(n - k)
0.75 = 12!/[2!*(12 - 2)!] * 0.3^2 * (1 - 0.3)^(12 - 2)
ALTERNATIVE COMPUTATION USING EXCEL:
"Look-up" value of PROBABILITY = 0.75 = 1 - BINOMDIST ( 2 , 12 , 30/100 , TRUE )
"Using Excel function: BINOMDIST(number_s, trials, probability_s, cumulative)
Number_s is the number of successes in trials. [ 12 ]
Trials is the number of independent trials. [ 2 ]
Probability_s is the probability of success on each trial. [ 30]"
Cumulative is a logical value that determines the form of the function. If cumulative is TRUE, then BINOMDIST returns the cumulative distribution function, which is the probability that there are at most number_s successes; if FALSE, it returns the probability mass function, which is the probability that there are number_s successes.
b. ANSWER: PROBABILITY = 0.24 exactly 3 are hyperlipidemic
Why???
BINOMIAL DISTRIBUTION, POPULATION PROPORTION
n = NUMBER OF TRIALS [ 12] (sample size)
k = NUMBER OF SUCCESSES [3] (Exactly 3 NUMBER OF SUCCESSES)
p = POPULATION PROPORTION [30%]
significant digits2
COMPUTATION OF BINOMIAL PROPORTION:
P(k = 3) = n!/[k!*(n - k)!] * p^k * (1 - p)^(n - k)
0.24 = 12!/[3!*(12 - 3)!] * 0.3^3 * (1 - 0.3)^(12 - 3)
ALTERNATIVE COMPUTATION USING EXCEL:
"Look-up" value of PROBABILITY = 0.24 =BINOMDIST ( 3 , 12 , 30/100 , FALSE )
"Using Excel function: BINOMDIST(number_s, trials, probability_s, cumulative)
Number_s is the number of successes in trials. [ 12 ]
Trials is the number of independent trials. [ 3 ]
Probability_s is the probability of success on each trial. [ 30]"
Cumulative is a logical value that determines the form of the function. If cumulative is TRUE, then BINOMDIST returns the cumulative distribution function, which is the probability that there are at most number_s successes; if FALSE, it returns the probability mass function, which is the probability that there are number_s successes.
c. ANSWER: (approx) 4 children expected to be hyperlipidemic
Why???
SAMPLE SIZE * POPULATION PROPORTION = EXPECTED [12 * 0.3 = (approx) 4]
Hyperlipidemia is 30% in children 2-6 years of age. If 12 children are analyzed, what is the probabilty that?
Q. At least 3 are hyperlipidemic?
A. Well, four kids out of twelve should have it. But your question isn't very specific. If you have three kids, and you wanna know what their odds of getting it are, it depends.
Family history is an important factor, but if you're going by statistics alone, one of your kids probably has it.
Family history is an important factor, but if you're going by statistics alone, one of your kids probably has it.
age 25 and diagnosed with hyperlipidemia?
Q. I ws diagnosed with hyperlipidemia since i was 22. I tried to watch what I eat, but with no luck. I turned 25, and couple weeks ago, I went for a physical, and I was told that my cholesterol was 249. That 's high!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! I know I need to excercise, but I'm really lazy. I have normal weight,and dance as excercise sometimes. Can someone please help me choose a good diet? I want to know what exactly can cut my cholesterol?
A. Low fat, high fiber diet. More vegies than fruit to help lose weight. The fiber helps carry fat out of the body so it is not absorbed.
With normal weight, you can eat more fruit, and whole grains. Minimal processed foods that list hydrogenated anything. That boosts LDL (bad stuff), and lowers HDL (good stuff). Cut way back on meats, especially beef, and cut back or eliminate fried foods.
With normal weight, you can eat more fruit, and whole grains. Minimal processed foods that list hydrogenated anything. That boosts LDL (bad stuff), and lowers HDL (good stuff). Cut way back on meats, especially beef, and cut back or eliminate fried foods.
Powered by Yahoo! Answers
