Fill in the blanks: The random variable Y has the probability distribution given the following table. y : 2 3 4 5 6 7 P (Y = y): 0.15 0.1 a 0.25 0.11 0.2 Determine the standard deviation of Y.
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- Complete parts (a) and (b) below. The number of dogs per household in a small town Dogs 1 3 4 Probability 0.671 0.207 0.081 0.021 0.013 0.007 Find the mean of the probability distribution. |(Round to one decimal place as needed.) Find the variance of the probability distribution. o2 = (Round to one decimal place as needed.) Find the standard deviation of the probability distribution. (Round to one decimal place as needed.) (b) Interpret the results in the context of the real-life situation. AS O A. A household on average has 0.5 dog with a standard deviation of 0.9 dog. B. A household on average has 0.5 dog with a standard deviation of 14 dogs. O C. A household on average has 0.9 dog with a standard deviation of 0.5 dog. D. A household on average has 0.8 dog with a standard deviation of 0.9 dog. CL IN (1,0) More NextThe histogram shows the reviewer ratings on a scale from 1 (lowest) to 5 (highest) of a recently published book. Reviewer Ratings 0.5- 0.4- 0.3- 0.2- 0.14 0.022 0.01 0.444 (a) Find the mean, variance, and standard deviation of the probability distribution. (b) Interpret the results. 0.249 0.214 0.071 Rating (a) The mean is (Type an integer or a decimal. Do not round.) The variance is. (Round to two decimal places as needed.) The standard deviation is (Round to two decimal places as needed.) (b) Interpret the results. Select all that apply. O A. The typical rating deviates from the mean by about 4. O B. The average rating for the book is approximately 4. O C. The typical rating deviates from the mean by about 1. O D. The average rating for the book is approximately 1. ProbabilitySave Use the probability distribution to complete parts (a) and (b) below. The number of defects per 1000 machine parts inspected Defects 1 4 Probability 0.262 0.301 0.243 0.138 0.042 0.014 (a) Find the mean, variance, and standard deviation of the probability distribution. The mean is . (Round to one decimal place as needed.) Incorrect
- Hint(s) | Check My Work According to the Current Results website, the state of California has a mean annual rainfall of 25 inches, whereas the state of New York has a mean annual rainfall of 36 inches. Assume that the standard deviation for both states is 3 inches. A sample of 30 years of rainfall for California and a sample of 45 years of rainfall for New York has been taken. Use z-table. a. Show the probability distribution of the sample mean annual rainfall for California. This is a normal probability distribution with E(7) =| 25 and oz = 0.5477 (to 4 decimals). b. What is the probability that the sample mean is within 1 inch of the population mean for California? (to 4 decimals) c. What is the probability that the sample mean is within 1 inch of the population mean for New York? (to 4 decimals) d. In which case, part (b) or part (c), is the probability of obtaining a sample mean within 1 inch of the population mean greater? Why? The probability of being within 1 inch is greater-…The probability distribution below is for the random variable X = the number of credits taken during the fall semester by a randomly selected student at a large university. Calculate the mean of X. Round to the hundredths place. Credits 14 15 16 17 Probabiblity 0.05 0.65 0.20 0.10X = 0, 1, 2, 3 P(x) = 0.05, 0,2, 0.1, p.65 Find the mean of this probability distribution. Round answer one decimal place.
- Complete the table below to find the mean, variance and standard deviation. Round all values to 3 decimal places. P(z) P(z) (11- 2). (z - 4)? (2- 4 P(z) 0.3 1 0.1 0.15 0.45 Variance Mean ElP(z)] || = 1 Find the standard deviation of this probability distribution. Standard Deviation o =Remaining Time: T hour, 54 minutas, 16 seconds. Question Completion Status: The following is the probability distribution for calls arrived at a switchboard of one of the leading companies: No. Calls (X) P(X) 0.19 0.38 14 0.3 18 What is the Calls Variance ? (Write your answer to the nearest 2 decimals)Example: Finding the Mean, Variance, and Standard Deviation The table describes the probability distribution for the number children in homeschool families in North Bay. Find the mean, variance, and standard deviation for this probability distribution. x: number of children 0 1 2 3 4 5 6 Total P(x) 0 1/11 ≈ 0.09 4/11≈ 0.36 2/11 ≈ 0.18 2/11≈ 0.18 1/11≈ 0.09 1/11 ≈ 0.09 1
- Decide whether you can use the normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you cannot, explain why and use the binomial distribution to find the indicated probabilities. A survey of adults found that 6% say their favorite sport is auto racing. You randomly select 600 adults and ask them to name their favorite sport. Complete parts (a) through (d). ..... Determine whether a normal distribution can be used to approximate the binomial distribution. Choose the correct answer below. O A. No, because nq <5. B. No, because np <5. OC. Yes, because both np 25 and nq 2 5. Click to select your answer and then click Check Answer. Clear All Final Check Get More Help - HIST SorProbability Scores 0.05 3 0.05 6 0.05 7 0.45 11 0.4 14 Find the variance of the above random variable random variable.Teachers' Salaries The average annual salary for all U.S. teachers is $47,750. Assume that the distribution is normal and the standard deviation is $5680. Find the probabilities A randomly selected teacher earns more than $55,500 a year. P>X55,500 =
