Hypergeometric formula to find the probability

Assignment Help Basic Statistics

Reference no: EM13102199

The game called Lotto sponsored by the Louisiana Lottery Commission pays its largest prize when a contestant matches all 6 of the 44 possible numbers. Assume there are 44 ping-pong balls each with a single number between 1 and 44. Any number appears only once, and the winning balls are selected without replacement.

(a) The commission reports that the probability of matching all the numbers are 1 in 7,059,052. What is this in terms of probability? (Round your answer to 8 decimal places.)

(b) Use the hypergeometric formula to find this probability. The lottery commission also pays if a contestant matches 4 or 5 of the 6 winning numbers. Hint: Divide the 44 numbers into two groups, winning numbers and nonwinning numbers. (Round your answer to 8 decimal places.)

(c) Find the probability, again using the hypergeometric formula, for matching 4 of the 6 winning numbers. (Round your answer to 8 decimal places.)

(d) Find the probability of matching 5 of the 6 winning numbers. (Round your answer to 8 decimal places.)

Reference no: EM13102199

Questions Cloud

Basics of poisson approximation to the binomial : What is the probability that of today's 1,000 callers at least 5 received a busy signal? Use the poisson approximation to the binomial. (Round your answer to 4 decimal places.)

Compute the amount of heat : At a soft drink dispenser, a restaurant patron put 0.2 kg of crushed water ice, at a temperature of ?5 C, into an insulating cup. [In fact, the ice was slightly colder before it left the machine, but its warming to ?5 C cooled the inside surface o..

Association has made an unconstitutional restriction : The Neighbourhood Association informs him that, according to their regulations, he may not have a truck in the sight of passersby. The Association has made an unconstitutional restriction of the property rights of residents of the CID.

What is the associated uncertainty : Time standards are now based on atomic clocks. A promising second standard is based on pulsars, which are rotating neutron stars (highly compact stars consisting only of neutrons).

Hypergeometric formula to find the probability : Use the hypergeometric formula to find this probability. The lottery commission also pays if a contestant matches 4 or 5 of the 6 winning numbers. Hint: Divide the 44 numbers into two groups, winning numbers and nonwinning numbers.

Basic attribution error-milgram-s research on obedience : Use knowledge of fundamental attribution error and Milgram's research on obedience to explain weaknesses of David's explanation.

Explain five factors that prevent developing nations : Explain five factors that prevent developing nations from becoming industrialized nations? Provide an example for at least two of your five factors by listing the name of a nation and explaining its situation?

Find the instantaneous velocity of the particle : A particle moves along the x-axis. Its position varies with time according to the expression x(t) = -4t + 2t2, where x is in meters and t is in seconds. a) Determine the displacement of the particle in the two time intervals t = 0 to t = 1 s and t..

What would be its net charge : Suppose a 1.83-g nugget of pure gold has zero net charge. What would be its net charge after it has 1.92 % of its electrons removed?

User Account

All Pages