Given the following valid probability distribution of a discrete random variable X with unknow entries, but knowing that the mean value of X is μ = 2.3332. X 0 1 2 3 4 p(x) p₁ 0.2444 0.1778 0.0444 P5 Choose one from the following which is closest to the correct answer.
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the mean value = 2.3332
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- Consider the following probability distribution of the random variable x. 1 2 3 4 f(x) 0.13 0.24 0.34 0.16 0.13 Find the probability that x is at least 3. Select one: O a. 0.33 O b. 0.31 O C. 0.29 O d. 0.27Previously, De Anza's statistics students estimated that the amount of change daytime statistics students carry is exponentially distributed with a mean of $0.88. Suppose that we randomly pick 25 daytime statistics students. Find the probability that an individual had between $0.80 and $1.00. Graph the situation, and shade in the area to be determined.Consider the following probability distribution of the random variable x. f(x) 0.34 1 0.22 2 0.17 3 0.10 4 0.17 Find the probability that x is at least 3. Select one: O a. 0.73 O b. 0.27 O c. 0.56 O d. 0.17 O e. 0.44 O f. 0.83
- Suppose the probability density function for a uniform distribution ranging from 0 to 1. The mean of the random variable X for this distribution is O a. 0.50 O b. 0.75 Ос. 0.25 d. 1.00Determine if the random variables X and Y are statistically independent or not. NO NEED SOLUTIONSSuppose a random variable x is best described by a uniform probability distribution with range 0 to 5. Find the value of a that makes the following probability statements true.
- Consider the following probability distribution of the random variable x. f(x) 1 0.35 3 0.14 0.10 0.41 Then, Select one: a. l = 4 and o? = 7.06. O b. u = 4.14 and o? = 5. O c. µ = 4 and o? O d. = 4.14 and o = 7.06.Suppose the random variable Z follows a standard normal distribution. Then the probability is 0.20 that Z is less than the value O a. 0.84 O b. -0.84 O c. - 0.80 Od. 0.80Samuel F.B. Morse (1791 – 1872), the creator of Morse Code, claimed that 12% of all letters used in the English language were “e”s. Suppose random samples of 196 letters are selected from a book What is the probability that a random sample of 196 letters will contain at least 10% "e"s? Type your calculated z-score here. Express its value to the nearest hundredth (two decimal places). Type your probability here. Express its value to four decimal places. Do not round.
- Consider the following probability distribution 2. P(X) 0.39 0.16 0.15 0.3 E(X) = Select one: O a. none ОБ.1.75 Ос 1.36 O d. 1 3.There is small parking lot behind a floral shop that has two parking lot spaces.let x be the number of cars parked in the parking lot at midday. the probability distribution of x is given by P(X=x)=4 - x /9 x=0,1,2 contruct the probability distribution table?Let x be a random variable with the following probability distribution X 1 3 P(x) 0.3 k 0.1 0.2 Find the expected value and the standard deviation for x. Select one: O a. 1.2 and 1.077 O b. 5.2 and 1.5 O c. 1.5 and 1.077 O d. 1.2 and 1.567 2.