Homework answers / question archive / Question 1 All questions on this page relate to the following mortality rates, which are for a particularly unhealthy population

Question 1 All questions on this page relate to the following mortality rates, which are for a particularly unhealthy population

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Question 1

All questions on this page relate to the following mortality rates, which are for a particularly unhealthy population. The numbers in this table have been randomly generated, so you may find they include some trends that look somewhat unrealistic.

X	Qx	Px
50	0.024	0.976
51	0.032	0.968
52	0.042	0.958
53	0.053	0.947
54	0.062	0.938

 

Calculate the probability that a person aged 50 exact dies between age 51 exact and 53 exact. Give your answer to 5 decimal places.

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Question 2.

Calculate the probability that a person aged 51 exact will die sometime after age 54 exact. Give your answer to 5 decimal places.

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Question 3

 All questions on this page relate to the following life table. The numbers in this table randomly generated, so you may find they include some trends that look somewhat unrealistic.

 

X	lx	Dx
70	10000	1260
71	8740	1481
72	7259	1760
73	5499	1853
74	3646	2161

 

Calculate p72. Give your answer to 5 decimal places.

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Question 4

Calculate 2/q70.2 under the assumption of a uniform distribution of deaths across each year of age. This system cannot produce the above symbol perfectly. For clarity, it is the symbol pronounced "2 deferred q 70.2. Give your answer rounded correct to five decimal places.

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Question 5

 Nioctioyet saved Marked out of ' Flag question Question 6 Not yet saved 1.00 V Flag

The Macquarie marsupial mouse is a recently discovered species found only within the Macquarie University-North Ryde campus.

Suppose the lifetime of a newborn Macquarie marsupial mouse can be modelled using the continuous random variable To. You are given:

pr(Ta>t)=1.3e0.08_O.3,o<_t<_?

All questions on this page use the above function.

Calculate the value of ?. For this question, give your answer rounded to 5 decimal places. However, use the exact expression for co when evaluating answers as the subsequent parts so your rounding errors don't accumulate.

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Question 6

Determine the probability that a newborn mouse survives at least 3 years. Give your answer to S decimal places_

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Question 7

Calculate the probability that a mouse aged 2 survives to age 5. Round your answer to 5 decimal places.

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Question 8.

Calculate 2/q1. This system cannot produce the above symbol perfectly. For clarity, it is the symbol pronounced "2 deferred q I". Give your answer rounded correct to five decimal places.

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Question 9.

Calculate µ5. Give your answer rounded correct to five decimal places.

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Question 10

Calculate the complete expectation of life for a newborn mouse. Note that this is E(To). Give your answer rounded correct to two decimal places. Do NOT include units in your answer.

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