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A die is loaded in such a way that the probabilities of getting 1, 2, 3, 4, 5, and 6 are 1/2, 1/6, 1/12, 1/12, 1/12, and 1/12 respectively

In a medical study, patients are classified in 8 ways according to whether they have

blood type AB+, AB−, A+, A−, B+, B− , O+, or O−, and also according to whether their

blood pressure is low, normal, or high. Find the number of ways in which a patient can

be classified.



Given the frequency distribution of the ages of 100 employees



of a certain company:



1. What is the 40th percentile?



2. What is the 8th decile?



3. What is the lower quartile?



4. What is the upper quartile?



Interpret the result.





Age of employees Number of Employees



30-34 13



35-39 17



40-44 18



45-49 20



50-54 13



55-59 12



60-64 5



65-69 2






Find the value of σ x̅. Use the choices on no. 4 problem. Use this data: Consider the score examples illustrated, in which random samples of size 16 are obtained from N (25,9)


Two of the five (5) foreign automobiles from an overseas shipment have slight paint blemishes. If an

agency receives three (3) of these automobiles at random, list the elements of the sample space 𝑆 using

the letters B and N for “blemished” and “non-blemished”, respectively. For each sample point, assign a

value 𝑥 of the random variable 𝑋 representing the number of automobiles purchased by the agency with

paint blemishes. Hint: There are eight (8) elements in the sample space.


What is the value of σ2 x̅? Use this data: Consider the score examples illustrated, in which random samples of size 16 are obtained from N (25,9)


Consider the score examples illustrated, in which random samples of size 16 are obtained from N (25,9). What is the value of μ x̅


An overseas shipment of 5 foreign automobiles contains 2 that have slight paint

blemishes. If an agency receives 3 of these automobiles at random, find the

probability distribution of the random variable X representing the number of

automobiles with paint blemishes purchased by the agency. Find the mean

number of automobiles with paint blemishes. Also, calculate the variation.


There are 4 boys and 2 girls in room A and 5 boys and 3 girls in room B .A girl from one of the two rooms laughed loudly.what is the probability that the girl who laughed was from room B?


A new pregnancy test was given to 100 pregnant women and 100 non pregnant women.The test indicated pregnancy of 92 of 100 pregnant and to 12 of the 100 non pregnant women.If a randomly selected woman takes this test and the test indicates that she is pregnant.What is the probability that she is not pregnant?