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Sоlve the prоblem.Suppоse thаt events E аnd F аre independent, P(E) = 0.3 and P(F ) = 0.8. What is the P(E and F )?
Prоvide аn аpprоpriаte respоnse.Assume that male and female births are equally likely and that the birth of any child does not affect the probability of the gender of any other children. Find the probability of exactly three girls in ten births.
Prоvide аn аpprоpriаte respоnse.A quiz consists of 660 true or false questions. If the student guesses on each question, what is the mean number of correct answers?
Prоvide аn аpprоpriаte respоnse.The table below represents a random sample of the number of deaths per 100 cases for a certain illness over time. If a person infected with this illness is randomly selected from all infected people, find the probability that the person dies 3-4 years after diagnosis. Express your answer as a simplified fraction and as a decimal rounded to three decimal places.
Prоvide аn аpprоpriаte respоnse.Use the spinner below to answer the question. Assume that it is equally probable that the pointer will land on any one of the five numbered spaces. If the pointer lands on a borderline, spin again. Find the probability that the arrow will land on 2 or 5.
Prоvide аn аpprоpriаte respоnse.A dice game involves throwing three dice and betting on one of the six numbers that are on the dice. The game costs $6 to play, and you win if the number you bet appears on any of the dice. The distribution for the outcomes of the game (including the profit) is shown below:Find your expected profit from playing this game.
Prоvide аn аpprоpriаte respоnse.A group consists of 6 men and 5 women. Four people are selected to attend a conference. In how many ways can 4 people be selected from this group of 11? In how many ways can 4 men be selected from the 6 men? Find the probability that the selected group will consist of all men.
Prоvide аn аpprоpriаte respоnse.A club elects a president, vice-president, and secretary-treasurer. How many sets of officers are possible if there are 14 members and any member can be elected to each position? No person can hold more than one office.
Prоvide аn аpprоpriаte respоnse.You are taking a multiple-choice test that has 11 questions. Each of the questions has 4 choices, with one correct choice per question. If you select one of these options per question and leave nothing blank, in how many ways can you answer the questions?