Data: Cl: 0 1 2 3 4 5 6 Dialog box: Session command: 2.0 201 Calc > Probability Distributions > MTB > CDF C1; Binomial SUBC> BINOMIAL 6 0.3. Choose Cumulative probability. Type 6 in Number of trials. Type 0.3 in Probability of success. Choose Input column and type Cl. Click OK. Output: LEA VIH nce Cumulative Distribution Function Binomial with n = 6 and p = 0.300000 abor od attueh P( X <= x) sldgoo) 0.00 0.1176 1.00 0.4202 2.00 0.7443 3.00 0.9295 the P 4.00 0.9891 5.00 0.9993 6.00 1.0000 FIGURE 4.3.4 MINITAB calculation of cumulative binomial probabilities for x = 0 through x = 6 when n = 6 and p = .3. Exercises In each of the following exercises, assume that N is sufficiently large relative to n that the binomial distribution may be used to find the desired probabilities. 4.3.1 Based on data collected by the National Center for Health Statistics and made available to the public in the Sample Adult database (A-5), an estimate of the percentage of adults who have at some point in their life been told they have hypertension is 23.53 percent. If we select a simple random sample of 20 U.S. adults and assume that the probability that each has been told that he or she has hypertension is .24, find the probability that the. number of people in the sample who have been told that they have hypertension will be: (a) Exactly three (b) Three or more (c) Fewer than three (d) Between three and seven, inclusive

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Data:
Cl: 0 1 2 3 4 5 6
Dialog box:
Session command:
2.0
201 Calc > Probability Distributions >
MTB > CDF C1;
Binomial
SUBC>
BINOMIAL 6 0.3.
Choose Cumulative probability. Type 6 in Number of
trials. Type 0.3 in Probability of success. Choose
Input column and type Cl. Click OK.
Output:
LEA
VIH
nce
Cumulative Distribution Function
Binomial with n = 6 and p = 0.300000
abor
od attueh
P( X <= x)
sldgoo)
0.00
0.1176
1.00
0.4202
2.00
0.7443
3.00
0.9295
the P
4.00
0.9891
5.00
0.9993
6.00
1.0000
FIGURE 4.3.4 MINITAB calculation of cumulative binomial probabilities for x = 0 through x = 6 when n = 6 and p = .3.
Exercises
In each of the following exercises, assume that N is sufficiently large relative to n that the binomial
distribution may be used to find the desired probabilities.
4.3.1 Based on data collected by the National Center for Health Statistics and made available
to the public in the Sample Adult database (A-5), an estimate of the percentage of adults
who have at some point in their life been told they have hypertension is 23.53 percent.
If we select a simple random sample of 20 U.S. adults and assume that the probability
that each has been told that he or she has hypertension is .24, find the probability that the.
number of people in the sample who have been told that they have hypertension will be:
(a) Exactly three
(b) Three or more
(c) Fewer than three
(d) Between three and seven, inclusive
Transcribed Image Text:Data: Cl: 0 1 2 3 4 5 6 Dialog box: Session command: 2.0 201 Calc > Probability Distributions > MTB > CDF C1; Binomial SUBC> BINOMIAL 6 0.3. Choose Cumulative probability. Type 6 in Number of trials. Type 0.3 in Probability of success. Choose Input column and type Cl. Click OK. Output: LEA VIH nce Cumulative Distribution Function Binomial with n = 6 and p = 0.300000 abor od attueh P( X <= x) sldgoo) 0.00 0.1176 1.00 0.4202 2.00 0.7443 3.00 0.9295 the P 4.00 0.9891 5.00 0.9993 6.00 1.0000 FIGURE 4.3.4 MINITAB calculation of cumulative binomial probabilities for x = 0 through x = 6 when n = 6 and p = .3. Exercises In each of the following exercises, assume that N is sufficiently large relative to n that the binomial distribution may be used to find the desired probabilities. 4.3.1 Based on data collected by the National Center for Health Statistics and made available to the public in the Sample Adult database (A-5), an estimate of the percentage of adults who have at some point in their life been told they have hypertension is 23.53 percent. If we select a simple random sample of 20 U.S. adults and assume that the probability that each has been told that he or she has hypertension is .24, find the probability that the. number of people in the sample who have been told that they have hypertension will be: (a) Exactly three (b) Three or more (c) Fewer than three (d) Between three and seven, inclusive
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