Fifteen items or less: The number of customers in line at a supermarket express checkout counter is a random variable wit following probability distribution. X 2 4 5 PO P(x) 0.05 0.25 0.30 0.20 0.10 0.10 Part: 0 / 4 0 Send data to Excel Part 1 of 4 1 (a) Find P (3). P(3) = X 3
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- Remaining Time: T hour, 54 minutas, 16 seconds. Question Completion Status: The following is the probability distribution for calls arrived at a switchboard of one of the leading companies: No. Calls (X) P(X) 0.19 0.38 14 0.3 18 What is the Calls Variance ? (Write your answer to the nearest 2 decimals)P(x) D 0 0.1666 In the probability distribution to the right, the random variable X represents the number of hits a baseball player obtained in a game over the course of a season. Complete parts (a) through (f) below. 1 1 0.3347 2 2 0.2857 3 0.0383 5 0.0252 0.1495 4 O A. OB C. OD. 0.4- 0.4- 0.4- 0.3 0.2- 0.4- 0.3+ 0.3- 0.3- 0.2- 0.1- 0.2- 0.1- 0.2- 0.1- 0.1- -> oi2345 ói23 45 Number of Hits 0123 4 5 Number of Hits ó i 2 34 5 Number of Hits Number of Hits Describe the shape of the distribution. The distribution has one mode and is skewed right. (c) Compute and interpret the mean of the random variable X. Hy= 1.6338 hits (Type an integer or a decimal. Do not round.) Which of the following interpretations of the mean is correct? O A. The observed number of hits per game will be less than the mean number of hits per game for most games. O B. Over the course of many games, one would expect the mean number of hits per game to be the mean of the random variable. OC. The observed number of…The probability distribution of the random variable X represents the number of hits a baseball player obtained in a game for the 2012 baseball season. 1 2 3 4 P(x) 0.1666 0.3437 0.2774 0.1486 0.0384 0.0253
- A sociologist randomly selects single adults for different groups of three, and the random variable x is the number in the group who say that the most fun way to flirt is in person. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. P(x) 0.091 0.335 0.417 1 2 0.157 Does the table show a probability distribution? Select all that apply. O A. Yes, the table shows a probability distribution. | B. No, not every probability is between 0 and 1 inclusive. | C. No, the sum of all the probabilities is not equal to 1. | D. No, the random variable x is categorical instead of numerical. | E. No, the random variable x's number values are not associated with probabilities. Find the mean of the random variable x. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. µ= adult(s)…Fifteen items or less: The number of customers in line at a supermarket express checkout counter is a random variable with the following probability distribution. X 0 1 2 3 4 5 P(x) 0.05 0.25 0.30 0.25 0.10 0.05 Send data to ExcelAn automotive center keeps track of customer complaints received each week. The probability distributions of complaints are shown below. The random variable, xi, represents the number of complaints, and p(xi) is the probability of receiving xi complaints for two of the stores. The cost impact of each complaint is believed to be y=$10x3 where x is the number of complaints. Store A xi 0 1 2 3 4 5 6 p(xi) 0.10 0.15 0.20 0.25 0.15 0.10 0.05 Store B xi 0 1 2 3 4 5 6 p(xi) 0.10 0.15 0.25 0.22 0.13 0.08 0.07 Compute the simulated averages and standard deviations of the number of complaints per week for each store and the total for both stores over the 52 weeks. Compare to the theoretical mean and standard deviations.
- The joint probability distribution of the number X of cars and the number Y of buses per signal cycle at a proposed left-turn lane is displayed in the accompanying joint probability table below. y P(xy) 1 2. 0. .025 .015 .010 .050 .030 020 2. .125 .075 050 3. 150 090 060 4. 100 .060 040 050 .030 .020 Suppose the left-turn lane is to have a capacity of six cars, and that one bus is equivalent to three cars. What is the probability of an overflow duringa cycle? Select one: O 48 O 28 O38 0.18A deck of four (4) cards has exactly one (1) color printed on each face – blue, yellow, red, or green. You have two (2) identical decks of this type. In this game, you randomly select a card from each of the two decks. Your score is the number of blue cards drawn – refer to this quantity as X. The probability distribution is below: X P(X) 0 0.5625 1 0.375 2 0.0625 What is the average number of blue cards drawn? What is the probability that at most one blue card is drawn?P(x) D 0.1666 In the probability distribution to the right, the random variable X represents the number of hits a baseball player obtained in a game over the course of a season. Complete parts (a) through (f) below 0.3347 0.2857 1 2 3 0.1495 4 0.0383 5 0.0252 .... 0.2- 02- 0.2- 0.2- 0.1- 0.1- 0.1+ 0.1- 0123 45 Number of Hits ó123 4 Number of Hits 0123 4 5 Number of Hits 0123 4 5 Number of Hits Describe the shape of the distribution. The distribution has one mode and is skewed right. (c) Compute and interpret the mean of the random variable X. Hx= 1.6338 hits (Type an integer or a decimal. Do not round.) Which of the following interpretations of the mean is correct? Question Viewer O A. The observed number of hits per game will be less than the mean number of hits per game for most games. B. Over the course of many games, one would expect the mean number of hits per game to be the mean of the random variable. OC. The observed number of hits per game will be equal to the mean number of…
- A sociologist randomly selects single adults for different groups of three, and the random variable x is the number in the group who say that the most fun way to flirt is in person. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. P(x) 0.088 1 0.331 2 0.409 3 0.172 Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. B. No, the sum of all the probabilities is not equal to 1. C. No, the random variable x is categorical instead of numerical. D. No, the random variable x's number values are not associated with probabilities. E. No, not every probability is between 0 and 1 inclusive. Find the mean of the random variable x. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. adult(s) (Round to…A deck of four (4) cards has exactly one (1) color printed on each face – blue, yellow, red, or green. You have two (2) identical decks of this type. In this game, you randomly select a card from each of the two decks. Your score is the number of blue cards drawn – refer to this quantity as X. The probability distribution is below: X P(X) 0 0.5625 1 0.375 2 0.0625 1. If we replaced the yellow card in the first deck with another blue card, what would be the probability of drawing two blue cards? 2. If we replaced the yellow card in the first deck with another blue card, what distribution would the variable X follow?X 1 2 3. A physics professor wants to know what percent of physics majors will spend the next several years doing post-graduate research. He has the following probability distribution. 3 4 5 6 P(x) 0.35 0.20 0.15 0.10 0.05 x*P(x a. Define the random variable x. b. Define P(x), or the probability of x. c. Find the probability that a physics major will do post-graduate research for four years. P(x = 4) =_ d. Find the probability that a physics major will do post-graduate research for at most three years. P(x ≤ 3) =_ e. On average, how many years would you expect a physics major to spend doing post-graduate research?