A lot of 75 washers contains 6 defectives whose variability in thickness is unacceptably large. A sample of 10 washers is selected at random without replacement a. Find the probability that at least one unacceptable washer is in the sample b. Calculate the mean of (x) c. Calculate the standard deviation of (x)
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A lot of 75 washers contains 6 defectives whose variability in thickness is unacceptably large. A sample of 10 washers is selected at random without replacement
a. Find the probability that at least one unacceptable washer is in the sample
b. Calculate the mean of (x)
c. Calculate the standard deviation of (x)
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- The average American man consumes 9.8 grams of sodium each day. Suppose that the sodium consumption of American men is normally distributed with a standard deviation of 1 grams. Suppose an American man is randomly chosen. Let X = the amount of sodium consumed. Round all numeric answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(,) b. Find the probability that this American man consumes between 9 and 9.9 grams of sodium per day. c. The middle 20% of American men consume between what two weights of sodium?Low: High:Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 21 days and a standard deviation of seven days. (a) In words, define the random variable X. Edit Insert Formats BIUX₂ + 2+ 3 = C P & (b) Find the z-score for a trial lasting 19 days. your answer to three decimal places.) Shade: Left of a value (c) If one of the trials is randomly chosen, find the probability that it lasted at least 19 days. +||||||||| (d) Shade the area corresponding to this probability in the graph below. (Hint: The x- axis is the z-score. Use your z-score from part (b), rounded to one decimal place). -1 X² A ▾ A▾ -1.5 用 Σ+ Σ Α 2 Click and drag the arrows to adjust the values. (Round ++++++++++++ 3 4 (e) eighty-eight percent of all trials of this type are completed within how many days?Hugo averages 41 words per minute on a typing test with a standard deviation of 7.5 words per minute. Suppose Hugo's words per minute on a typing test are normally distributed. Let X = the number of words per minute on a typing test. Then, X - N(41, 7.5). Suppose Hugo types 45 words per minute in a typing test on Wednesday. The z-score when x = 45 is x = 45 is This z-score tells you that standard deviations to the (right/left) of the mean, Correctly fill in the blanks in the statement above. Select the correct answer below: Suppose Hugo types 45 words per minute in a typing test on Wednesday. The z-score when x = 45 is -0.533. This z-score tells you that x = 45 is 0.533 standard deviations to the left of the mean, 41. Suppose Hugo types 45 words per minute in a typing test on Wednesday. The z-score when x = 45 is -0.381. This z-score tells you that x = 45 is 0.381 standard deviations to the left of the mean, 41. Suppose Hugo types 45 words per minute in a typing test on Wednesday. The…
- assume that X is normally distributed with a mean 150 and standard deviation of 40. find the probability that (A) x is less then 145 and (B) x is grater then 170The average amount of money spent for lunch per person in the college cafeteria is $6.06 and the standard deviation is $2.82. Suppose that 41 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible. What is the distribution of X? X ~ N( , ) What is the distribution of x¯? x¯ ~ N( , ) For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $6.32 and $6.63. For the group of 41 patrons, find the probability that the average lunch cost is between $6.32 and $6.63. For part d), is the assumption that the distribution is normal necessary? YesNoSuppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 265 feet and a standard deviation of 40 feet. Let X be the distance in feet for a fly ball.a. What is the distribution of X? X ~ N(,)b. Find the probability that a randomly hit fly ball travels less than 264 feet. Round to 4 decimal places.
- Assume a distribution with mean of 50 and a standard devivation of 12. For an x-value of 65, the z-score is . (two-decimal accuracy) For a z-score of -2.3, x = . (one-decimal accuracy)Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 275 feet and a standard deviation of 35 feet. Let X be the distance in feet for a fly ball. a. What is the distribution of X? X ~ N(,) b. Find the probability that a randomly hit fly ball travels less than 265 feet. Round to 4 decimal places.An elevator has a play card stating that the maximum capacity is 1980 pounds 12 passengers so 12 adult male passages can have a mean way of up to 1180÷12 = 165 pounds. If the elevator is loaded with 12 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 165 lb. Assume that weights of males are normally distributed with a mean of 172 pounds and a standard deviation of 27 pounds. Does this elevator appear to be safe?
- Let x be a random variable that represents red blood cell count (RBC) in millions of cells per cubic millimeter of whole blood. Then x has a distribution that is approximately normal, For the population of healthy female adults, suppose the mean of the x distribution is about 4.64, Suppose that a female patient has taken six laboratory blod tests over the past several months and that the RBC count data sent to the patient's doctor are as follows. 4.9 4.2 4.5 4.1 4.4 4.3 () Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.) C) Do the given data indicate that the pooulation mean RBC count for this patient is lower than 4.647 Use a- 0.05. (a) What is the level of significance? State the nul and alternate hypotheses. O Hn: 4- 4.64; H: 4.64 O Ho: H> 4.64; H:u- 4.64 O Hn: H- 4.64; H: H 4.64 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal,…The average THC content of marijuana sold on the street is 10.9%. Suppose the THC content is normally distributed with standard deviation of 2%. Let X be the THC content for a randomly selected bag of marijuana that is sold on the street. Round all answers to 4 decimal places where possible,a. What is the distribution of X? X ~ N(,)b. Find the probability that a randomly selected bag of marijuana sold on the street will have a THC content greater than 10.8. c. Find the 79th percentile for this distribution. %Let Y1....,Yn be a random sample from a normal distribution with mean 30 and standard deviation 3. What is the probability the largest observation is greater than 30?