There is a 0.9968 probability that a randomly selected 50-year-old female lives through the year (based on data from the U.S. Department of Health and Human Services).
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A Fidelity life insurance company charges $226 for insuring that the female will live through the year. If she does not survive the year, the policy pays out $50,000 as a death benefit.
From the perspective of the 50-year-old female, what are the values corresponding to the two events of surviving the year and not surviving?
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Ans: -226 ; 50,000-226 = 49774
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If a 50-year-old female purchases the policy, what is her expected value?
WORK TRIED:
In the event she lives, the value is -$226. In the event she dies, the value is $49,774.
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E(x) = 0.9968*(-226) + 0.0032(49774) = -$66
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Cheers,
ROR
Answer:
(x - 1)² = 0
Step-by-step explanation:
Given
x² - 2x + 1 = 0 ( subtract 1 from both sides )
x² - 2x = - 1
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 1)x + 1 = - 1 + 1
(x - 1)² = 0
Answer: (a)
P - Value = 0.0981 is high, this indicates stronger evidence that we should fail to reject the null hypothesis: H0: pD = pR (There is no significant difference between the proportion of Democrats who plan to vote for the Democratic candidate in the upcoming election and the proportion of Republicans who plan to vote for the Republican candidate in the upcoming election). P - Value = 0.0981 is the probability of obtaining results at least as extreme as the observed results of the Hypothesis Test, assuming that the null hypothesis is correct.
(b)
Since P - Value = 0.0981 is greater than \alpha = 0.05, the difference is not significant. Fail to reject null hypothesis.
(c)
Since in the Hypothesis Test, we have failed to reject null hypothesis, we could have made: Type II Error: Failure to reject a false null hypothesis. One potential consequence of this error is as follows:
Suppose in reality there is significant difference between the proportion of Democrats who plan to vote for the Democratic candidate in the upcoming election and the proportion of Republicans who plan to vote for the Republican candidate in the upcoming election. But the political pollster wrongly concludes that there is no significant difference between the proportion of Democrats who plan to vote for the Democratic candidate in the upcoming election and the proportion of Republicans who plan to vote for the Republican candidate in the upcoming election. Type II Error is committed in this situation. The consequence of this Type II Error is that the political pollstar will that the political parties are loyal and will not do any follow up work whereas in reality it is not so.
Step-by-step explanation:
got this from chegg!!!
Answer:
55%
Step-by-step explanation:
11/20 = 0.55
0.55 = 55%
The unit rate is how many calories are in 1 cup of cereal.
Set up a proportion:
Cross multiply and solve:
There are 100 calories per cup of cereal.
To get the calories in 4 cups of cereal, simply multiply the unit rate of 100cals/cup by 4.
There are 400 calories in 4 cups of cereal.
