PROPERTIES OF RANDOM VARIABLES (MATH) 1. In your own words, what is a random variable? 2. A wallet containing four 100 peso bills, two 200 peso bills, three 500 peso bills, and one 1,000 peso bill. Construct a probability distribution for the data. 3. In applying probability in real life situation, why do we need to study the concept of Probability Distribution? 4. Give me a situation that gives the differences between discrete and continuous random variable.

Q: Consider a probability histogram for the number of times I win if I bet $5 on even numbers in…

A: Given a probability histogram for the number of times winning if a person bet $5 on even numbers in…

Q: Jack is invited to play a simple game.  He is supposed to toss two fair coins.  If both the coins…

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Q: Provide an appropriate response. Determine the probability distribution's missing value. The…

A: sum of all probability is equals to 1.

Q: 2. The flight time for an airplane traveling from Muscat to Dubai is uniformly distributed between…

A: (a)  Since uniform distribution is a continuous uniform distribution, and there exist infinite…

Q: Complete parts (a) and (b) below. The number of dogs per household in a small town Dogs Probability…

A: mean=E(X)=∑x.P(X)

Q: Blood types vary All human blood can be typed as one of O, A, B, or AB, but the distribution of the…

A: Given data: Blood type O A B AB Probability 0.49 0.27 0.20 ?

Q: Binomal Distribution Problem Set The next 10 questions refer to the following scenario: The…

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Q: Leslie, a park manager, wants to determine if there are enough swings to go around in one of the…

A: The formula for mean is given by:

Q: 6. On page 3 of chapter 4 there is a discrete probability histogram. On this graph, what are the…

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Q: State whether or not each of the following situations describes a probability distribution. You…

A: We have given three cases and we have to determine if it is probability distribution or not. Since…

Q: Technical School Sample (Questions 1-2) Suppose a local technical school has several departments…

A: Hi! Thank you for the question. As per the honor code, we are allowed to answer 1 question at a…

Q: A random variable X has the following probobility dismution. メ 3 4. PX)0-05 0-25 0-4 ? 0-06 Find…

A: The total probability is always 1. So the probability for x=3 is:  1-(0.05+0.25+0.4+0.06)=0.24

Q: TH 0 1 2 P(Z) 0.2 0.05 0.2 0.55 a. Find the expected value of the probability distribution. Round to…

A: The probability density function of X is given as:xP(X=x)00.210.0520.230.55

Q: A political pollster is conducting an analysis of sample results in order to make predictions on…

A: Followings are the Explanation of the question 1) The percentage of voice sin the sample to win the…

Q: the following probabilities: Sales in units 3 4 Probability 0.30 0.20 0.15 0.20 0.10 0.05 What is…

A: Answer:

Q: Construct and illustrate the probability distribution of the problem below.

A: here given,  An experiment consists of studying the number of boys in families with exactly 2…

Q: The probability is 0.45 that a traffic fatality involves an intoxicated or​ alcohol-impaired driver…

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Q: 7. A researcher surveyed the households in a small fown X represents the number of college graduates…

A: As per Bartleby guideline if more than one question is asked only first question to be answered…

Q: One household is to be selected at random from a town.

A: One household is to be selected at random from a town.   The probability that the household has a…

Q: Republit of the Philippines Department of Ebucation REGION X - NORTHERN MINDANAO SCHOOLS DIVISION OF…

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Q: Let x be a random variable that represents the batting average of a professional baseball player.…

A: Since you have posted a question with multiple subparts, we will solve the first three subparts for…

Q: 1. 66 students were surveyed about pet ownership. They were asked if they own a dog or cat. 24 said…

A: Venn diagram helps to visualize the finite groups. It explains the similarity and dissimilarity…

Q: Exhibit 5-3 The probability distribution for the number of goals the Lions soccer team makes per…

A: Probability: Probability is a chance factor that occurs at every outcome of a random experiment.…

Q: Blood Type Probability O+ A+ 0.382 0.341 B+ O- A- AB+ B- 0.087 0.068 0.059 0.031 0.022 AB- 0.010 The…

A: It is given that a town with a very large population has the distribution of blood types.

Q: Market research has shown that 60% of persons who are introduced to a certain product actually buy…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: In a recent year there were the following numbers (in hundreds) of licensed drivers in Saudi Arabia.…

A: Given problem Given that   In a recent years there were the following numbers ( in hundreds ) of…

Q: 4. In a random sample of male and female graduates of the New York School for the Arts between the…

A: A.The probability that a man is a ballet dancer is, .The probability that a man is a musical…

Q: . When the stock market closes higher than it opened at the beginning of the day, the stock market…

A: The question asks us to find the average number of days in a week that the stock market "closes up."…

Q: The table below is an example of probability distribution of a discreet random variable. * 1 3 5…

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Q: Given the following information summarizing a survey given to people at a local dog park weighing…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: Market research has shown that 60% of persons who are introduced to a certain product actually buy…

A: i. The variable of interest in this scenario is "sell of a product introduced in the market".

Q: The sampling distribution of a statistic is the probability distribution made up of all possible:…

A: We have given that the sample distribution of a statistic is the probability distribution.

Q: 2. Four coins are tossed. Let Z be the random variable representing the number of heads that occur.…

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Q: Example 8 In a particular university, the probability that any one student is male is 0.65. Four…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: if the percentage of sound units in the production of a type of signal lamp is 80% and the number of…

A: Poisson distribution gives rare occurrence of events .  Here , total random sample = n = 10  &…

Q: a. Which probability distribution would you use to calculate the probability of success or failure…

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Q: 3) During a flu vaccine shortage in the United States, it was believed that 45 percent of…

A: In United States, it was believed that 45% vaccine eligible people received flu vaccine. Sample size…

Q: Using the Table and the data found in part c please answer the question in part e.

A: Formula Used: If X is a discrete random variable, then its mean and standard deviation is given by:…

Q: 3. Data collected by Erik, a lobsterman in Maine, suggest that he traps an average of 4.8 lobsters…

A: To solve these probability questions, we can use the Poisson distribution, assuming the average…

Q: (a) What type of probability distribution does the variable X have? Write down the formula for the…

A: Here AS PER GUIDELINES I HAVE CALCULATED 3 SUBPARTS  here given , there are total 20 students have…