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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- L10Q7.Find the unknown value from the following probability distribution.Determine whether the given values can serve as the values of a probability distribution of the random variable x that can take on only the values 1,2,3 and 4 P(1)=1/19,P(2)=10/19, P(3)=5/19, P(4)=5/19Suppose a random variable x is best described by a uniform probability distribution with range 2 to 5. Find the value of a that makes the following probability statements true.
- Based on historical data kept by a business school, the probability distribution for students who have been found in violation of academic integrity in the core accounting class each semester is given below. Let x = number of students found in violation of academic integrity in a semester in the core accounting class. x Prob(x) 0 0.6 1 0.08 2 0.07 3 0.04 4 0.106 5 0.104 (a) Is this a valid probability distribution? Justify briefly.…1Five males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inherit the X-linked genetic disorder. 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. Does the table show a probability distribution? Select all that apply. X 0 1 2 3 4 5 child(ren) (Round to one decimal place as needed.) P(x) 0.027 0.152 0.321 0.321 0.152 0.027 A. Yes, the table shows a probability distribution. B. No, the random variable x is categorical instead of numerical. C. No, not every probability is between 0 and 1 inclusive. D. No, the sum of all the probabilities is not equal to 1. 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…
- Suppose a random variable x is best described by a uniform probability distribution with range 2 to 5. Find the value of a that makes the following probability statements true. Help with the last questionThe random variable X has probability distribution given in the table below:X -1 0 1 2 3P(X=x) b 0.1 0.2 0.15 0.15a. Find the value of b.b. Find the Var (X)c. E (2X-4)d. Var (3-2X)The value of E(X) for the dizerete random variable Xhaving tihe following probability distribution: o02 04 03 jo1
- Please help1. Dave has a lawn mowing business. Based on daily sales figures for the past two summers, he has developed the following probability distribution for X= number of lawns mowed on a randomly selected day. 1. 0.4 2. 0.3 3. 0.1 Number of Lawns xi Probability pi 0.2 (a) Make a histogram of this probability distribution. (b) Describe P(X>0) in words and find its value. (c) Express the event "mows at most one lawn" in terms of X and find its probability. O 2018 BFW Publishers, Inc. Starnes/Tabor, The Practice of Statistics, 6/eFive males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inherit the X-linked genetic disorder. 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. child(ren) (Round to one decimal place as needed.) X 0 1 2 3 4 5 Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. B. No, the random variable x's number values are not associated with probabilities. C. No, the random variable x is categorical instead of numerical. D. No, not every probability is between 0 and 1 inclusive. E. No, the sum of all the probabilities is not equal to 1. 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. P(x)…
