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Life Insurance A 35-year-old woman purchases a

$100,000 term life insurance policy for an annual payment

of $360. Based on a period life table for the U.S.

government, the probability that she will survive the

year is 0.999057. Find the expected value of the policy

for the insurance company.


describe the F-tests used for testing equality of the variation of the two different populations. if ten ring bobbins are selected from the day shift and night shift productions have shown standard deviations of the count as 1.2 and 2.2 units respectively. can we say that variation in count is more for the night shift production than that of day shift production?


the expected performance of a group of machines is that they should operate for 80% of the available time, the remaining 20% being scheduled for maintenance and setting-up. it is believed that one machine of the group is not achieving this target. the machine was observed at 500 random instants of time and was found to be working on 370 occasions. do these results suggest that the machine was running significantly below the target efficiency?


Two balls are drawn in succession without replacement from the urn containing 5 yellow balls and 6 green balls. Let Z be the random variable representing the number of green balls. Construct a probability distribution of Z in tabular, graphical, and equation form.


out of 300 families with 5 children each, what percentage would be expected to have

i. at least a boy

ii. all boys

iii. at most 2 girls


We select at a subject who had mammogram.find the probability that she is divorced or separated?


7. Two fair cubical dice are thrown: one is red and one is blue. The random variable M represents the score on the red die minus the score on the blue die. (a) Find the distribution of M. (b) Write down E(M). (c) Find Var(M).


7. Two fair cubical dice are thrown: one is red and one is blue. The random variable M represents the score on the red die minus the score on the blue die. (a) Find the distribution of M. (b) Write down E(M). (c) Find Var(M).


In a certain district the covid patients recover by vaccine is 0.4. If 10 people are infected by this
disease. What is the probability ,
i. At least 6 survive.
ii. From 2 to 7 survive.
iii. Exactly 3 survive.
iv. Exactly 2 are not surviving.
v. Also find the expected value.

For a populationof 17 year old boys and 17year old girls, the means and standard deviations, respectively, of their subscapular skinfold thickness values are as fllows : boys, 9.7 and 6.0: girls, 15.6 and 9.5. smple random samples of 40 boys and 35 girls are selected from the populations. What is the probability that the difference between sample means will be greater than 10?


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