Please do not give solution in image formate thanku suppose a national lotto has the following rules: a player chooses 6 numbers between 1 and 42 and pay $1 to play these 6 numbers once. Every week the organizer extract 6 random numbers without replacement between 1 and 42. To win a prize,the player has to guess three or more of the extracted numbers.(a)what is the pdf of X, the number of winning numbers chosen by the player in one week(b)what is the probability to win (any amount)?(c) what is the probability to win, when the player bets every week for a year (consider 52 weeks in a year)?(d) what is the probability that the player needs exactly one year (i.e. 52 weeks) to win?(e) what is the probability that the playee needs no more than one year to win?(f) what is the probability that the playee needs no more than one year but less than 2 years?(g) what is the number of weeks needed such that the probability to win is at least 0.90?

Since the order of the numbers doesn't matter, and the numbers are drawn without replacement.(a)…

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Please do not give solution in image formate thanku

suppose a national lotto has the following rules: a player chooses 6 numbers between 1 and 42 and pay $1 to play these 6 numbers once. Every week the organizer extract 6 random numbers without replacement between 1 and 42. To win a prize,the player has to guess three or more of the extracted numbers.

(a)what is the pdf of X, the number of winning numbers chosen by the player in one week

(b)what is the probability to win (any amount)?

(d) what is the probability that the player needs exactly one year (i.e. 52 weeks) to win?

(e) what is the probability that the playee needs no more than one year to win?

(f) what is the probability that the playee needs no more than one year but less than 2 years?

(g) what is the number of weeks needed such that the probability to win is at least 0.90?

Definition Definition Probability of occurrence of a continuous random variable within a specified range. When the value of a random variable, Y, is evaluated at a point Y=y, then the probability distribution function gives the probability that Y will take a value less than or equal to y. The probability distribution function formula for random Variable Y following the normal distribution is: F(y) = P (Y ≤ y) The value of probability distribution function for random variable lies between 0 and 1.

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