A particular fruit's weights are normally distributed, with a mean of 798 grams and a standard deviation of 10 grams. If you pick one fruit at random, what is the probability that it will weigh between 807 grams and 808 grams (answer using 3 decimal places)
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A: From the provided information, Mean (µ) = 347 Standard deviation (σ) = 25 X~N (347, 25)
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A: GIVEN DATA, μ=350σ=25n=40p(335<x¯<375)=?
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- During a wisdom teeth removal procedure, 1, 2, 3, or 4 wisdom teeth are removed, depending on the patient's needs. Records indicate that nationwide, the mean number of wisdom teeth removed in a procedure is µ = 2.38, with a standard deviation of o = 0.93. Suppose that we will take a random sample of 8 wisdom teeth removal procedures and record the number of wisdom teeth removed in each procedure. Let x represent the sample mean of the 8 procedures. Consider the sampling distribution of the sample mean x. Complete the following. Do not round any intermediate computations. Write your answers with two decimal places, rounding if needed. (a) Find - (the mean of the sampling distribution of the sample mean). -0 ? (b) Find o, (the standard deviation of the sampling distribution of the sample mean). G- - ?The distances golf balls travel under laboratory testing conditions are normally distributed. The mean is 313 yards. The probability the golf ball travels further than 322 yards is 0.13. Find the probability a randomly selected golf ball travels between 304 yards and 322 yards. Express the answer as a decimal value rounded to the nearest hundredth.The life of lightbulbs is distributed normally. The standard deviation of the lifetime is 20 hours and the mean lifetime of a bulb is 600 hours. Find the probability of a bulb lasting for at most 640 hours. Round your answer to four decimal places
- Trucks in a delivery fleet travel a mean of 8080 miles per day with a standard deviation of 3030 miles per day. The mileage per day is distributed normally. Find the probability that a truck drives at least 5252 miles in a day. Round your answer to four decimal places.A particular fruit's weights are normally distributed with a mean of 598 grams and a standard deviation of 34 grams. Suppose you pick 4 fruits at random. 18% of the time their mean weight will be greater than how many grams? Round your answer to the nearest integer.A population has a mean of 84 and a standard deviation of 12. A sample of 36 observations be taken. The probability that the sample mean will be between 8054 and 88.9 is
- Assume that adults have IQ scores that are normally distributed with a mean of u = 100 and a standard deviation o = 15. Find the probability that a randomly selected adult has an IQ between 84 and 116. Click to view page 1 of the table. Click to view page 2 of the table. The probability that a randomly selected adult has an IQ between 84 and 116 is (Type an integer or decimal rounded to four decimal places as needed.)A dice is rolled three times a. Find the probability of getting exactly 2 fours b. Find the mean, variance, and standard deviationA professor knows that her statistics students' final exam scores have a mean of 79 and a standard deviation of 12.4. In his class, an "A" is any exam score of 90 or higher. This quarter she has 25 students in her class. What is the probability that 7 students or more will score an "A" on the final exam?
- Let X = number of miles a family travels for summer vacation. X follows a normal distribution with a mean of 311 miles and standard deviation of 232 miles. If a family traveled 600 miles, how many standard deviations are they away from the mean? Calculate the following probabilitiesAn HP laser printer is advertised to print text documents at a speed of 18 ppm (pages per minute). The manufacturer tells you that the printing speed is actually a Normal random variable with a mean of 17.57 ppm and a standard deviation of 3 ppm. Suppose that you draw a random sample of 11 printers. Part i) Suppose the number of printers drawn is quadrupled. How will the standard deviation of sample mean printing speed change? A. It will decrease by a factor of 2. B. It will decrease by a factor of 4. C. It will increase by a factor of 2. D. It will increase by a factor of 4. E. It will remain unchanged. Part ii) Suppose the number of printers drawn is quadrupled. How will the mean of the sample mean printing speed change? A. It will decrease by a factor of 4. B. It will increase by a factor of 4. C.It will increase by a factor of 2. D. It will decrease by a factor of 2. E. It will remain unchanged. Part iii) Consider the statement: 'The distribution of the mean printing speed of the…Q6- Assume the probability that a maple tree at age 5 grows less than 140 cm is equal to 0.2. If the height of maple trees at age 5 are estimated to be normally distributed with mean ? cm and variance 81 cm. find ?.