A student club consists of 35 seniors, 20 juniors and 8 sophomores. Ten of these

Question

A student club consists of 35 seniors, 20 juniors and 8 sophomores. Ten of these members are randomly selected. Define twe discrete random variables of your choice, and give precise formulas of their probability mass functions. 4. The number of gamma rays emitted per second by some radioactive substance is a random variable having a Poisson distribution withpara meter -5.8. If a recording 5- t becomes inoperative when more than 12 gamma rays are emitted per second, a. give a complete formula for the PMF of the number of gamma rays emitted per second by this radioactive substance. b. what is the probability that this instrument becomes inoperative during any given second? 6. The moment generating Junction of some discrete random variable x is given by M(r) =--etr x=1,2,3,4,5 a. Find M'). b. Find E(X). c. Give the complete formula of f(x). 7. True or False The function(x)1,2,.. 10 represents a PMF a. b. Discrete random variables partition the sample space associated to a given experiment into disjoint events. If f(x)- some discrete random variable. The probability of three aces in a row when selecting cards at randorm from a deck of 52 cards, is 2197-(sampling is without replacement) For any discrete random variable, M(0)=1. c.- _ 1, then / can serve as a probability mass function for d. e. -

Explanation / Answer

7) a) TRUE

f(X)= X/55 ; X=1,2,...10

yes because it is giving discrete values at x=1,2..,10

b) TRUE

c) TRUE : SUMMATION OF PMF GIVES 1.

D) FALSE

E) TRUE

PLEASE POST Q4,5 AND 6 SEPARATELY. THANK YOU

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