A group of 1000 movie-goers were asked to watch 3 movies , Movie 1, Movie 2and Movie 3, then were asked to pick their preferred movie. Some of the datacollected is displayed in the table below.(i)PreferredMovie 1Movie 2Movie 3Totalmovie:Female224126Male30062470Total3321000(a)Copy onto your answer paper and complete the above table.(b)Consider the experiment in which one person is randomly selected from thisgroup. Let event A be the event "the person chosen preferred Movie 2" andevent B be the event “the person chosen is Male".(a) Calculate the probability P(AnB).(B) Determine whether or not events A and B are independent, giving aclear numerical reason for your answer.

Here use given table , and basic probability rule

Answered: (a) Copy onto your answer paper and…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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(d) Identify any unusual events. Explain. O A. The event in part (b) is unusual because its probability is less than 0.05. B. The event in part (a) is unusual because its probability is less than 0.05. O c. The event in part (c) is unusual because its probability is less than 0.05. OD. There are no unusual events, because all of the probabilities are greater than 0.05.
For the experiment of drawing a single card from a standard 52-card deck, find (a) the probability of the following event, and (b) the odds in favor of the following event. a) The probability that the card is either a club or a queen is _______ (Simplify your answer.)
The theater director offered every member of the drama one vote for which play they preferred to perform. The director found that 35% voted for The Oddems Family, that 57% voted for Thirteenth Night, and that 8% did not vote. In this group, are the events "Oddems Family" and "Thirteenth Night" mutually exclusive? Choose 1 answer: A Yes No Find the probability that a randomly selected person from this group voted for Oddems Family OR Thirteenth Night. P (Oddems Family OR Thirteenth Night) :
A standard deck of cards contains 52 cards. One card is selected from the deck. (a) Compute the probability of randomly selecting a four or five. (b) Compute the probability of randomly selecting a four or five or six. (c) Compute the probability of randomly selecting a nine or spade.
Given a normal distribution with u = 50 and a = 8, and given you select a sample of n= 100, complete parts (a) through (d). a. What is the probability that X is less than 49? P(X 50.6) =D (Type an integer or decimal rounded to four decimal places as needed.) d. There is a 40% chance that X is above what value? x-D (Type an integer or decimal rounded to two decimal places as needed.) Enter your answer in each of the answer boxes.
Does the compound event consist of two mutually exclusive events? Two dice are rolled. The sum of the dice is a 3 or a 9. Compute the probability of the compound event occurring.

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