Write the values of 'a' for which the following distribution of probabilities becomes a probability distribution: X = X₁: -2 -1 Ettt! P(X = X₁) 1-a 1+ 2a 1-2a 1+a 4 4 4 1 4
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Q: P(x) x*P(x) 0.10 2 0.10 3 0.15 4 5 0.25 0.10 0.10
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- A B C D E F G H 7 3 Create a discrete probability table with all possiblex values and all possible probabilities. For the x values, list 0 to 100. 8 4 From the table, create a Column Chart that visualizes all possiblex values and all possible probabilities. 9 10 11 12 13 | 1 2 From past data we know that the mean number of arrivals to buy tickets at the Family Fun Center in Tukwila on Saturday afternoon is 20 per 1/2 hour. Assume: The probability of a person arriving is the same for all equal-size intervals 3 4 Assume: The number of people arriving in any interval is independent of the number of people arriving in any other interval 1 Calculate the probability that 25 people will arrive in 1/2 hour 5 6 2 Calculate the probability that between 25 and 30 people (inclusive) will arrive in 1/2 hour J Note: put all formula inputs in cells, label them, and refer to them in formulas with cell references. K MFind the probability of the indicated event if P(E) = 0.25 and P(F) = 0.35. Find P(E or F) if P(E and F)= 0.20. P(E or F) =| (Simplify your answer.)Suppose that the random variable , shown below, represents the number times. P(x) represents the probability of a randomly selected person having received that number of speeding tickets during that period. Use the probability distribution table shown below to answer the following questions. 43 x 0 P(x) 0.2951 0.2587 1 2 0.1924 0.1604 P(x > 0) 0.7049 = 3 4 a) What is the probability that a randomly selected person has received five tickets in a three-year period? P(x = 5) = 0.0442 b) What is the probability that a randomly selected person has received one tickets in a three-year period? P(x = 1) 0.2587 P(x≤1)=1 5 6+ c) What is the probability that that a randomly selected person has received more than zero tickets in a three- year period? 0.0492 0.0442 0.0000 > Next Question d) What is the probability that that a randomly selected person has received one or less tickets in a three-year period? Enter an integer or decimal number [more..]
- Suppose that the random variable xx, shown below, represents the number of speeding tickets a person received in a three-year period. P(x)P(x) represents the probability of a randomly selected person having received that number of speeding tickets during that period. Use the probability distribution table shown below to answer the following questions. xx P(x)P(x) 0 0.3377 1 0.3347 2 0.1744 3 0.0605 4 0.0464 5 0.0463 6+ 0.0000 a) What is the probability that a randomly selected person has received four tickets in a three-year period?P(x=4)=P(x=4)=b) What is the probability that a randomly selected person has received four or more tickets in a three-year period?P(x≥4)=P(x≥4)=c) What is the probability that a randomly selected person has received more than four tickets in a three-year period?P(x>4)=P(x>4)=d) Would it be unusual to randomly select a person who has received four tickets in a three-year period? Yes No e) Which probability should we use to…The random variable X has the probability distribution given in the following table. 1 2 3 4 5 P(X = x) 0.03 0.27 where a, b and e are constants. It is given that E(X) = 3.5 and Var(X) = 1.17. Find the values of a, b and c.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?
- 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. X P(x) - 0.095 1 0.348 2 0.391 3 0.166 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's number values are not associated with probabilities. D. No, not every probability is between 0 and 1 inclusive. E. No, the random variable x is categorical instead of numerical. 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 one decimal place as needed.) B. The table does not show a…Using this frequency distribution table, find the following probabilities.Three fair dice are rolled. Let the random variable X be the number of die that are showing a roll of 1. Complete the probability distribution table. X P(X=X 0 1 2 3 Find the mean of this probability distribution E(X)=
- Need help with this question. Thank you :)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. x 0 1 2 3 4 p(x) 0.52 0.18 0.05 0.03 0.22 (a) Calculate the mean value of x. (b) What is the probability that x exceeds its mProb-1 Probability that cars have been assembled in a particular plant as follows: P(plant1) =20%, P(plant2)=24%, P(plant3)=25%, P(plant4)=31%. Total number of cars manufactured by all plants: 1.2 million/year. Number of cars of no warranty claims manufactured by plant1: 223200/year. Compute the warranty claim rate of the cars assembled in plant1? C: warranty Claim rate NC: No warranty claim rate= 1- C P1 20% Total Cars Manufactured C = P2 NC 24% P3 P4 .% 25% 31% C NC C C Z NC .NC