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lutik1710 [3]
3 years ago
5

According to a certain news poll, 71% agreed that it should be the government's responsibility to provide a decent standard of l

iving for the elderly, and 41% agreed that it would be a good idea to invest part of their Social Security taxes on their own. If agreement with one of these propositions is independent of agreement with the other, what is the probability that a person agreed with both propositions? (Round your answer to two decimal places.) HINT [See Quick Examples 4 and 5.]
Mathematics
1 answer:
finlep [7]3 years ago
3 0

Answer:

0.3157

Step-by-step explanation:

Given that according to a certain news poll, 71% agreed that it should be the government's responsibility to provide a decent standard of living for the elderly,

Let A be the event that it should be the government's responsibility to provide a decent standard of living for the elderly, and B the event that it would be a good idea to invest part of their Social Security taxes on their own

P(B) = 41%=0.41

A and B are independent

Hence P(both)=0.77(0.41) = 0.3157\\

the probability that a person agreed with both propositions

= Probability for both A and B

= P(A) P(B) since A and B are independent

= 0.3157

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Answer:

2.10

Step-by-step explanation:

The point estimate for the population standard deviation of the height of the cabinets equals to the provided standard deviation of the cabinets. Rounding off the given standard deviation which is 2.1 to 2 decimal places as the question requires then the point estimate for the population standard deviation of the height of the cabinets is approximately 2.10 ( 2 decimal places)

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3 years ago
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Step-by-step explanation:

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2 years ago
In a statistics​ class, the standard deviation of the heights of all students was 3.8 inches. The standard deviation of the heig
goblinko [34]

Answer:

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Step-by-step explanation:

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Standard deviation represents the distance between each observation and the mean of the population (all observations). The formula for this parameter is:

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In this case you have that each height registered is an observation and the number of observations represents the N value. As you can see if the mean for males is different from that of females their standard deviation will be different too. Usually males have heigths greater than that of females (1.77 vs 1.64, in USA for example), and heights inside each group will be more similar than between groups. Then, when you mix all observation there will be an increase in standard deviation, because you are mixing very different heigths

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