**Transcription for Educational Website**The following data represent the number of games played in each series of an annual tournament from 1923 to 2019. Complete parts (a) through (d) below.**Data:**- x (games played): 4, 5, 6, 7- Frequency: 18, 19, 19, 40**(a) Construct a discrete probability distribution for the random variable X.**| x (games played) | P(x) ||------------------|------|| 4 | || 5 | || 6 | || 7 | |*(Round to four decimal places as needed.)***(b) Graph the discrete probability distribution. Choose the correct graph below.**- **Graph Options:** - **A.** Four bars representing probabilities for x values at 4, 5, 6, 7. - **B.** Four bars representing probabilities for x values at 4, 5, 6, 7. - **C.** Four bars representing probabilities for x values at 4, 5, 6, 7. - **D.** Four bars representing probabilities for x values at 4, 5, 6, 7.*Each graph has P(x) on the y-axis ranging from 0 to 0.5 and x on the x-axis ranging from 4 to 7.***(c) Compute and interpret the mean of the random variable X.**\[\mu_X = \_\_\_\_ \text{ game(s)}\]*(Round to one decimal place as needed.)*Interpret the mean of the random variable X. Select the correct choice below and fill in the answer box within your choice.**Options:**- **A.** The series, if played many times, would be expected to last about \_\_\_\_ game(s), on average.- **B.** The series, if played one time, would be expected to last about \_\_\_\_ game(s).*(Round to one decimal place as needed.)***(d) Compute the standard deviation of the random variable X.**\[\sigma_X = \_\_\_\_ \text{ game(s)}\]

For the given frequency distribution table we have to find the probability as well as expected value…

Answered: The following data represent the number…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The following data represent the number of games played in each series of an annual tournament from 1930 to 2004. Complete parts (a) through (d) below. x (games played) Frequency 4 6. 7 17 13 16 28 (a) Construct a discrete probability distribution for the random variable x. x (games played) P(x) 4 6. 7 (Round to four decimal places as needed.) (b) Graph the discrete probability distribution. Choose the correct graph below. OA. В. Oc. OD. AP(x) 0.5- AP(x) 0.5- AP(x) 0.5- AP(x) 0.5- 6 7 4 5 6 7 4 5 6 7 4 5 6 7 (c) Compute and interpret the mean of the random variable x. Hx = games (Round to four decimal places as needed.) Interpret the mean of the random variable x. A. The series, if played one time, would be expected to last about 5.7 games. B. The series, if played many times, would be expected to last about 4.3 games, on average. O C. The series, if played many times, would be expected to last about 5.7 games, on average. (d) Compute the standard deviation of the random variable x. Ox…
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Suppose the probability distribution of x, the number of defective tires on a randomly selected car checked at a certain inspection station, is given in the following table. 이 p(x) 0.60 0.14 0.05 0.03 0.18 X 0 1 (a) Calculate the mean value of x. 2 3 4 (b) What is the probability that x exceeds its mean value?
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The following data represent the number of games played in each series of an annual tournament from 1933 to 2003. Complete parts (a) through (d) below. x (games played) Frequency 4 6 7 19 11 16 24 (Round to four decimal places as needed.) (b) Graph the discrete probability distribution. Choose the correct graph below. O A. OB. O B. Oc. D. AP(X) 0.5- AP(x) 0.5- AP(x) 0.5- Q AP(x) 0.5- APIX) 6. 4 5 6 7 5 6 7. 4 4 5 6 (c) Compute and interpret the mean of the random variable x. Hy = 5.6430 games (Round to four decimal places as needed.) Interpret the mean of the random variable x. O A. The series, if played many times, would be expected to last about 4.4 games, on average. B. The series, if played many times, would be expected to last about 5.6 games, on average. C. The series, if played one time, would be expected to last about 5.6 games. (d) Compute the standard deviation of the random variable x. o, = games (Round to one decimal place as needed.)
In the probability distribution to the right, the random variable X represents the number of marriages an individual aged 15 years or older has been involved in. Complete parts (a) through (f) below. Describe the shape of the distribution. The distribution is multimodal and is skewed right. (c) Compute and interpret the mean of the random variable X. Hx = 0.924 marriages (Type an integer or a decimal. Do not round.) Which of the following interpretations of the mean is correct? A. If many individuals aged 15 year or older were surveyed, one would expect the mean number of marriages to be the mean of the random variable. B. The observed number of marriages will be less than the mean number of marriages for most individuals. C. The observed number of marriages will be equal to the mean number of marriages for most individuals. D. If any number of individuals aged 15 year or older were surveyed, one would expect the mean number of marriages to be the mean of the random variable. (d)…
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A. Recent crime reports indicate that 0.5 motor vehicle thefts occur each minute in an industrial area. Assume that the distribution of thefts per minute can be approximated by the Poisson probability distribution. i. What is the average number of motor vehicle thefts occurring in five minutes? ii. Find the probability exactly three motor vehicle thefts occur in five minutes. Note: 1.Please clear answer no (i,ii) 2. No need excel formula.
3

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