Let X be a random variable with the following probability distribution: - 4 3 5 f(x) 0.6 0.3 0.1 Find the standard deviation of X. The standard deviation is - (Round to two decimal places as needed.)

Data for a large company shows the average length of time an employeestays with the company is 8.5 years with a standard deviation of 2.9 years. If thedata is normally distributed, find the probability a randomly selected worker hasworked for the company more than 13 years. a. 0.0606b. 0.0985c. 0.9015d. 0.9394

What is the probability distribution of X when X∼B(1,125)? Group of answer choices P(X=0)=0.75P(X=1)=0.25   P(X=0)=0.25P(X=1)=0.75   P(X=0)=0.04P(X=1)=0.96   P(X=0)=0.96 P(X=1)=0.04

P(x) 0. 0.05 0.15 0.3 0.5 Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal places 0.89 Submit Question ue O123m

Let x be a random variable that represents the average daily temperature (in degrees Fahrenheit) in January for a town in Hawaii. The x variable has a mean μ of approximately 68°F and standard deviation σ of approximately 4°F. A 20-year study (620 January days) gave the entries in the rightmost column of the following table. I II III IIII Region under Normal Curve x°F Expected % from Normal Curve Observed Number of Days in 20 Years μ – 3σ ≤ x < μ – 2σ 56 ≤ x < 60 2.35% 19 μ – 2σ ≤ x < μ – σ 60 ≤ x < 64 13.5% 78 μ – σ ≤ x < μ 64 ≤ x < 68 34% 202 μ ≤ x < μ + σ 68 ≤ x < 72 34% 220 μ + σ ≤ x < μ + 2σ 72 ≤ x < 76 13.5% 87 μ + 2σ ≤ x < μ + 3σ 76 ≤ x < 80 2.35% 14   (ii) Use a 1% level of significance to test the claim that the average daily January temperature follows a normal distribution with μ = 68 and σ = 4. (a) What is the level of significance?   (b) Find the value of the chi-square statistic for the sample. (Round the expected…

Let x be a continuous random variable that is normally distributed with a mean of 23 and a standard deviation of 7. Find to 4 decimal places the probability that x assumes a value a. between 27 and 36. Probability = i b. between 20 and 33. Probability = i

Let X be the number of errors that appears when I randomly selected page of the a book. The following table is the probability distribution of X. Find a mean and standard deviation of X Round your answer to three decimal places if required 

uppose that the weight of an newborn fawn is Uniformly distributed between 2.1 and 4 kg. Suppose that a newborn fawn is randomly selected. Round answers to 4 decimal places when possible. The mean of this distribution is _____ The standard deviation is _____ The probability that fawn will weigh exactly 3.4 kg is P(x = 3.4) =  The probability that a newborn fawn will be weigh between 2.6 and 2.8 is P(2.6 < x < 2.8) =  The probability that a newborn fawn will be weigh more than 2.58 is P(x > 2.58) =  P(x > 2.8 | x < 3.3) =  Find the 93rd percentile. _____

Assume the random variable X is normally distributed, with mean u= 57 and standard deviation o = 7, Find the 12th percentile. The 12th percentile is (Round to two decimal places as needed.)

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