An experiment consists of flipping three coins.Let X be a random variable whose values x are the number of heads. a.List the probability mass function b.List the cumulative distribution function. c.Graph the CumulativeDistributionFunction.
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An experiment consists of flipping three coins.Let X be a random variable whose values x are the number of heads.
a.List the probability mass
b.List the cumulative distribution function.
c.Graph the CumulativeDistributionFunction.
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- The number of apps a developer sells daily has the probability distribution represented in the table. Number of Apps, x 0 P(x) 20 40 60 80 100 0.05 0.25 0.18 0.12 0.3 0.1 If each app sells for $5.99, what is the expected daily total dollar amount taken in by the developer from the sale of apps? ○ $5.99 $53.40 $59.90 ○ $314.22 ○ $319.87Construct a probability distribution and its corresponding histogram. The probabilities that a randomly selected home garage space for 0, 1 , 2, or 3 cars are 0.22, 0.33, 0.37 and 0.08, respectively.Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you win $17. If you roll a 3, 4 or 5, you win $4. Otherwise, you pay $8.a. Complete the PDF Table. List the X values, where X is the profit, from smallest to largest. Round to 4 decimal places where appropriate. Probability Distribution Table X P(X) d. Based on the expected value, should you play this game? No, this is a gambling game and it is always a bad idea to gamble. No, since the expected value is negative, you would be very likely to come home with less money if you played many games. Yes, since the expected value is 0, you would be very likely to come very close to breaking even if you played many games, so you might as well have fun at no cost. Yes, since the expected value is positive, you would be very likely to come home with more money if you played many games. Yes, because you can win $17.00 which is greater than the $8.00 that you can lose.
- Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you win $11. If you roll a 3, 4 or 5, you win $4. Otherwise, you pay $2. a. Complete the PDF Table. List the X values, where X is the profit, from smallest to largest. Round to 4 decimal places where appropriate. Probability Distribution Table X P(X) B. Based on the expected value, should you play this game? Yes, since the expected value is 0, you would be very likely to come very close to breaking even if you played many games, so you might as well have fun at no cost. No, since the expected value is negative, you would be very likely to come home with less money if you played many games. Yes, because you can win $11.00 which is greater than the $2.00 that you can lose. Yes, since the expected value is positive, you would be very likely to come home with more money if you played many games. No, this is a gambling game and it is always a bad idea to gamble.On average, you receive 2.6 pieces of junk mail a day. Assume that the number of pieces of junk mail you receive each day follows the Poisson distribution. What is the probability that you receive exactly three pieces of junk mail today? A 0.2196 B 0.2167 C 0.1276 D 0.2176Each unit of a product produced and sold earns a profit of $ 50 and un- $ 30. The probability distribution is given below : sold units result into a loss of Units Demanded : 1 2 3 0.3 Probability () Compute how many units should be sold to earn maximum profit, and (i) Calculate EPPI and EVPI. : 0.2 0.2 0.25
- A technician services mailing machines at companies in the Phoenix area. Depending on the type of malfunction, the service call can take 0.7, 1.4, 2.1, or 2.8 hours. The different types of malfunctions occur at the same frequency. If required, round your answers to two decimal places. a. Develop a probability distribution for the duration of a service call. Duration of Call f(a) 0.7 1.4 2.1 2.8 b. Which of the following probablity distribution graphs accurately represents the data set? 2. fx) 0.304 0.304 0.20 0.20 0.10- 0.10 0 0.7 14 2.1 2.8 O 0.7 14 2.1 2.8 3. fx) 0.304 0.20 0.10 0.7 1.4 2.1 2.8 |- Select your answer - c. Consider the required conditions for a discrete probability function, shown below. f(x) 20 (5.1) Ef(e) = 1 (5.2) Does this probability distribution satisfy equation (5.1)? - Select your answer - Does this probability distribution satisfy equation (5.2)? - Select your answer- d. What is the probability a service call will take 2.1 hours? e. A service call has just…A pair of fair dice is rolled. Let X the random variable representing the sum of numbers that appear.You roll five fair six-sided dice. Let X denote the sum of the numbers shown. Compute the expectation and the variance of X.
- Let X denote that number of years I will use my current computer, and Y the number of years that I will use my tablet. The joint distribution of X and Y is as shown below: What is the probability that I will use the tablet for exactly one year? a b Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. с 0.082 e 0.160 0.210 d 0.344 Y 0.400 1 2 3 X 1 2 3 0.05 0.16 0.19 0.10 0.13 0.12 0.07 0.10 0.08Complaints about an Internet brokerage firm occur at a rate of 4 per day. The number of complaints appears to be Poisson distributed. A. Find the probability that the firm receives 5 or more complaints in a day. Probability = B. Find the probability that the firm receives 10 or more complaints in a 3-day period. Probability =Let X = {Email, In Person, Instant Message, Text Message}; P(Email) = 0.06 P(In Person) = 0.55 P(Instant Message) = 0.24 P(Text Message) = 0.15 Is this model a probability distribution? A. Yes. B. No. C. Maybe.
