x is a random variable with the probability function: f(x) = x/6 for x = 1, 2, or 3. The expected value of x is _____.
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- Pr. 3 Production. In a production process, let N mean "no trouble" and T"trouble." Let the transition probabilities from one day to the next be 0.8 for N ->>> N, hence 0.2 for N ->>> T, and 0.5 for T → N, hence 0.5 for T→ T. If today there is no trouble, what is the probability of N two days after today? Three days after today?Let X denotes the number of patients who die at a certain hospital in a day. The following table gives the probability function of X. 2. 4 P(X = x) 0.3 0.25 0.25 0.15 0.05 The expected number of deaths per day in the hospital is: 1. 3.3 2.4 O 17 O O O OFor any continuous probability distribution, P(x = a) = 0 for all values of a. %3D O A. True O B. False Ma esc 0% F3 000 000 F4 F2 F5 %23
- Pls help ASAP. Pls show all work. Pls do both of the asked questions pls i BEG.Suppose that the random variable x, 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 P(x) = 0 1 2 3 > Next Question 4 5 6+ 0.2951 0.2587 0.1924 0.1604 a) What is the probability that a randomly selected person has received five tickets in a three-year period? P(x = 5) 0.0492 0.0442 0.0000 b) What is the probability that a randomly selected person has received one tickets in a three-year period? P(x = 1) = c) What is the probability that that a randomly selected person has received more than zero tickets in a three- year period? P(x > 0) d) What is the probability that that a randomly selected person has received one or less tickets in a three-year period? P(x ≤ 1) =a. Which of the following CANNOT be a probability distribution? Explain.i. p(x) = x / 6 for x = 1,2,3ii. p x = x for x = 1,2,3iii. p(x) = x / 5 for x = 1,0,1 b. An investor has $1000 available for a 1-year investment. The investor isconsidering the following three options:Option APossible return 30% 20% 0% -20%Probability 25% 40% 20% 15%Option BPossible return 50% 30% 0% -40%Probability 15% 50% 20% 15%Option CGuaranteed return 10%Probability 100%i. Based on the expected returns, which of these options should theinvestor choose?ii. Compute the standard deviations for Option A and Option B. Whichone of options A, B, and C has the least risk (i.e. the smallest standarddeviation), which one has the highest risk? What can you say aboutthe relationship between the expected returns and the risks of financialassets in the normal situation?
- A census collected data on everyone that lived in a certain small town. The random variable X is the number of girls born to a randomly selected couple in that town who has four children. Its probability distribution is shown below. Complete parts a through c. X 4 O 0 P(X=x) 0.0857 2 0.3208 3 0.2415 0.2447 0.1073 i ne mean number of children in a family with four girls iS b. Obtain the standard deviation of the random variable. 0= 1.1209 (Round to four decimal places as needed.) c. Construct a probability histogram for the random variable; locate the mean; and show one-, two-, and three-standard-deviation intervals. Choose the correct histogram below. B. O C. D. Number of Girls Number of Girls Number of Girls Number of Girls 0.5- 0.5- 0.4- 0.3- 0.4- 0.5- 0.4- 0.3- 0.2- 0.1- 0.3- 0.2- 0.2- n 0.1- 0.1- 0 0012 0 1 2 3 4 01234 01234 01234 The mean is 2.0400. (Type an integer or decimal rounded to four decimal places as needed.) The one-standard-deviation interval is.. the…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.Here is the probability model for the blood type of a randomly chosen person in the United States. Blood type O A B AB Probability 0.53 0.22 0.06 0.19 What is the probability that a randomly chosen American does not have type O blood? ______________% Round to the nearest 0.01%
- ElTwApproximately 281,000,000 people over age five live in the United States. Of these people, 55,000,000 speak a language other than English at home. Of those who speak another language at home, 62.3% speak Spanish. Let: E = speaks English at home; E′ = speaks another language at home; S = speaks Spanish; Finish each probability statement by matching the correct answer. Probability Statements Answers a. P(E′) = i. 0.8043 b. P(E) = ii. 0.623 c. P(S and E′) = iii. 0.1957 d. P(S|E′) = iv. 0.1219Ted is not particularly creative. He uses the pickup line "If I could rearrange the alphabet, I'd put U and I together." The random variable x is the number of women Ted approaches before encountering one who reacts positively. 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) D. 0.001 0.007 2 0.028 3 0.064 Does the table show a probability distribution? Select all that apply A. Yes, the table shows a probability distribution. OB. No, the random variablex is categorical instead of numerical. O C. No, the sum of all the probabilities is not equal to 1. OD. No, the random variable x's number values are not associated with probabilities. O E. No, not every probability is between 0 and 1 inclusive.
