Charmaine, who turns eighty years old this year, has just learned about blood pressure problems in the elderly and is interested in how her blood pressure compares to those of her peers. She has uncovered an article in a scientific journal that reports that the mean systolic blood pressure measurement for wom- over seventy-five is 130.4 mmHg, with a standard deviation of 6.9 mmHg. Assume that the article reported correct information. Complete the following statements about the distribution of systolic blood pressure measurements for women over seventy-five. (a) According to Chebyshev's theorem, at least (Choose one) ▼ measurements lie between 116.6 mmHg and 144.2 mmHg. of the (b) According to Chebyshev's theorem, at least (Choose one) of the measurements lie between 109.7 mmHg and 151.1 mmHg. X

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Charmaine, who turns eighty years old this year, has just learned about blood pressure problems in the elderly and is interested in how her blood pressure
compares to those of her peers. She has uncovered an article in a scientific journal that reports that the mean systolic blood pressure measurement for wome
over seventy-five is 130.4 mmHg, with a standard deviation of 6.9 mmHg.
Assume that the article reported correct information. Complete the following statements about the distribution of systolic blood pressure measurements for
women over seventy-five.
(a) According to Chebyshev's theorem, at least (Choose one) of the
measurements lie between 116.6 mmHg and 144.2 mmHg.
(b) According to Chebyshev's theorem, at least (Choose one)
measurements lie between 109.7 mmHg and 151.1 mmHg.
of the
Transcribed Image Text:Charmaine, who turns eighty years old this year, has just learned about blood pressure problems in the elderly and is interested in how her blood pressure compares to those of her peers. She has uncovered an article in a scientific journal that reports that the mean systolic blood pressure measurement for wome over seventy-five is 130.4 mmHg, with a standard deviation of 6.9 mmHg. Assume that the article reported correct information. Complete the following statements about the distribution of systolic blood pressure measurements for women over seventy-five. (a) According to Chebyshev's theorem, at least (Choose one) of the measurements lie between 116.6 mmHg and 144.2 mmHg. (b) According to Chebyshev's theorem, at least (Choose one) measurements lie between 109.7 mmHg and 151.1 mmHg. of the
An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of "heads" (h) and "tails" (t) which we write hth, ttt, etc.
For each outcome, let N be the random variable counting the number of heads in each outcome. For example, if the outcome is thh, then N (thh)=2. Suppose
that the random variable X is defined in terms of N as follows: X=2N²-6N-4. The values of X are given in the table below.
Outcome ttt hhh hth hht tht htt thh tth
Value of X-4 -4 -8-8-8-8-8-8
Calculate the probabilities P(X=x) of the probability distribution of X. First, fill in the first row with the values of X. Then fill in the appropriate probabilities in
the second row.
Value X of X
P(X=x)
0
0 0
010
X
Ś
Transcribed Image Text:An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of "heads" (h) and "tails" (t) which we write hth, ttt, etc. For each outcome, let N be the random variable counting the number of heads in each outcome. For example, if the outcome is thh, then N (thh)=2. Suppose that the random variable X is defined in terms of N as follows: X=2N²-6N-4. The values of X are given in the table below. Outcome ttt hhh hth hht tht htt thh tth Value of X-4 -4 -8-8-8-8-8-8 Calculate the probabilities P(X=x) of the probability distribution of X. First, fill in the first row with the values of X. Then fill in the appropriate probabilities in the second row. Value X of X P(X=x) 0 0 0 010 X Ś
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