Mathematics Homework Solutions

Use a tree diagram to determine probability. Determine the probability that a child chosen at random from the school is bussed to school.

Draw a tree diagram that illustrates the following. Three-fifths of kindergarten children are bussed to school, while two-fifths of the first to fifth graders are bussed. The school has grades K through 5, and 17.5% of the students are in kindergarten. Determine the probability that a child chosen at random from the school is ...continues

Probability : Random Selection

A man has been guessing colors of cards drawn from a standard deck of cards. During the first 50 draws he kept track of the number of cards of each color. What is the probability of guessing the color of the fifty-first card?

Determine Probability Distribution

In a certain carnival game a player pays $1 and then tosses a fair coin until either a "head" occurs or he has tossed the coin four times. He receives fifty cents for each toss. Determine the probability distribution for the experiment of playing the game and observing the player's earnings.

True-False Probability

An exam consists of six "true or false" questions. What is the probability that a person can get five or more correct by just guessing?

Probability

Forty percent of a particular model of car are silver. What is the probability that in the next 10 observations of this model you observe 5 silver cars?

Probability : Coin Flips

A coin is tossed until four heads occur. What is the probability that the fourth head occurs on the tenth toss?

Probability : Random Selection

In a carnival game the players selects two coins from a bag containing two silver dollars and six slugs. Write down the probability distribution for the winnings and determine how much the player would have to pay so that he would break even, on the average, over many repetitions of the game.

Variance and Standard Deviation

Two golfers recorded their scores for 20 nine-hole rounds of golf. Golfer A's scores were: 39, 39, 40, 40, 40, 40, 40, 40, 41, 41, 41, 41, 41, 41, 41, 42, 43, 43, 43, 44. Golfer B's Scores were: 40, 40, 40, 41, 41, 41, 41, 42, 42, 42, 42, 42, 43, 43, 43, 43, 43, 43, 44, 44. (a) Compute the sample mean and the variance of ea ...continues

Variance and standard deviation

Student A received the following course grades during her first year of college: 4, 4, 4, 4, 3, 3, 2, 2, 2, 2, 0. Student B received the following grades during her first year of college: 4, 4, 4, 4, 4, 4, 3, 1, 1, 1. (a) Write down the relative frequency distribution tables for each student, and compute the population mea ...continues

Probability : Target Shooting

An archer has probability 0.3 of hitting a certain target. What is the probability of hitting the target exactly two times in four attempts?

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