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Two balls are drawn in succession without replacement from an urn containing 4 red balls and 5 blue balls.Let R be the random variable representing the number of red balls.Find the values of the random variable R.
How many samples of size n=3 can be drawn from this population?
I roll a fair die repeatedly until a number larger than 4 is observed. Let N be the total number of times until a number larger than 4 is observed.
Find
Pr(N=k) for k=1,2,3
The amount of coffee dispensed in a dispensing machine is normally distributed with a mean of 190 ml and a standard deviation of 10 ml. What is the z-value that will give an area of 0.975 on the right side of the normal curve?
A life insurance company will sell a 1 million three-year term life insurance policy exclusive in a particular risk group for a premium of ₱2,000.00. Let X denote the net gain to the company from the sale of one policy. If a person in this risk group has a 99.95% chance of surviving within three years, find the expected value to the company of a single policy?
A survey showed that % of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. If adults are randomly selected, find the probability that of them need correction for their eyesight.
A technician has to choose three chips at random from 4 chips 2 of which are defective. Let's Z represent the number of non- defective chips chosen. What are the possible values of Z given that the first chip chosen is defective?
Solve the following LPP using two phase method
Max Z= 2x1+3x2+10x3
subject to x1+2x3=0
x2+x3=1
x1,x2,x3≥0
The function f(x)= [x]- x is not integrable in [ 0,3] , where [ x] denote greatest integer function.
True or false with full explanation
A shipment of five computers contains two that are slightly defective. if a retailer receives three of these computers at random, list the element of the sample paces using the letter D and N for detective and non-detective computers purchased by the retailer which are slightly defective
#340153 on Dec 2023