Activity 1: Lockdown company sells annuities based on the annual payout on the probability distribution of the length of life of the participants in the plan. Suppose the probability distribution of the lifetimes of the participants is approximately a normal distribution with a mean of 68 years and a standard deviation of 3.5 years. a. What proportion of the plan recipients would receive payments beyond age 75? b. What proportion of the plan recipients would receive payments between the age of 32 and 75?, c. What proportion of the plan recipients would receive payments below the age of 65? d. What proportion of the plan recipients would receive payments between the age of 62 and 64? e. What proportion of the plan recipients would receive payments between the age of 70

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Activity 1: Lockdown company sells annuities based on the annual payout on the
probability distribution of the length of life of the participants in the plan. Suppose the
probability distribution of the lifetimes of the participants is approximately a normal
distribution with a mean of 68 years and a standard deviation of 3.5 years.
a. What proportion of the plan recipients would receive payments beyond age 75?
b. What proportion of the plan recipients would receive payments between the age of 32
and 75?.
c. What proportion of the plan recipients would receive payments below the age of 65?
d. What proportion of the plan recipients would receive payments between the age of 62
and 64?
e. What proportion of the plan recipients would receive payments between the age of 70
and 74?
Transcribed Image Text:Activity 1: Lockdown company sells annuities based on the annual payout on the probability distribution of the length of life of the participants in the plan. Suppose the probability distribution of the lifetimes of the participants is approximately a normal distribution with a mean of 68 years and a standard deviation of 3.5 years. a. What proportion of the plan recipients would receive payments beyond age 75? b. What proportion of the plan recipients would receive payments between the age of 32 and 75?. c. What proportion of the plan recipients would receive payments below the age of 65? d. What proportion of the plan recipients would receive payments between the age of 62 and 64? e. What proportion of the plan recipients would receive payments between the age of 70 and 74?
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