If bolt thread length is normally distributed, what is the probability that the thread length of a randomly selected bolt is a. Within 1.5 standard deviations of its mean value? b. Farther than 2.5 standard deviations from its mean value? c. Between 1 and 2 standard deviations from its mean value?
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- A. Solve the following. Show your complete solution. 1. Say that you will have to wait for a bus. Assume that the amount of waiting time is normally distributed between 0 and 15 minutes. Suppose that the mean time of a person is 8 minutes and the standard deviation is 1.8. What is the probability that you will wait for less than 12.5 minutes? 2. The length of time between charges of the battery of laptops is normally distributed with a mean of 45 hours and a standard deviation of 12 hours. Fiel owns one of these laptops and wants to know the probability that the length of time will be between 50 and 70 hours. 3. The length of life of an ordinary flashlight produced by a company has a normal distribution with a mean of 36 months and a standard deviation of 5 months. Find the probability that the flashlight produced by the company will last (a) more than 18 months, (b) between 17 and 32 months.A population has a mean of 200 and a standard deviation of 90. Suppose a simple random sample of size 125 is selected and is used to estimate μ. Use z-table. a. What is the probability that the sample mean will be within 18 of the population mean (to 4 decimals)? b. What is the probability that the sample mean will be within 16 of the population mean (to 4 decimals)?Assume that adults have IQ scores that are normally distributed with a mean of 104.9 and a standard deviation of 16. Find the probability that a randomly selected adult has an IQ greater than 132.8. (Hint: Draw a graph.) The probability that a randomly selected adult from this group has an IQ greater than 132.8 is (Round to four decimal places as needed.)
- Assume the sample variances to be continuous measurements. Find the probability that a random sample of 31 observations, from a normal population with variance of 6, will have a sample variance between 3.33 and 9,99 Select one: Oa. 0.975 Ob. 0.011 Oc 0.985 Od. 0.965Exercise 24 Let A and B be 2 events : P(A) : 1 and P(B') 1 Can A and B be mutually exclusive? Why?The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 38 and a standard deviation of 9. Suppose that one individual is randomly chosen. Let X-percent of fat calories. a. What is the distribution of X? X - N( 38 9 or or b. Find the probability that a randomly selected fat calorie percent is more than 45. Round to 4 decimal places. c. Find the minimum number for the upper quartile of fat calories. Round to 2 decimal places.
- Assume that adults have IQ scores that are normally distributed with a mean of 104.7 and a standard deviation of 24.1. Find the probability that a randomly selected adult has an IQ greater than 137.1. (Hint: Draw a graph.) The probability that a randomly selected adult from this group has an IQ greater than 137.1 is (Round to four decimal places as needed.)Assume that adults have IQ scores that are normally distributed with a mean of95.4 and a standard deviation of 16.6. Find the probability that a randomly selected adult has an IQ greater than 118.1 The probability that a randomly selected adult from this group has an IQ greater than 118.1 is what?5. The mean birth weight for babies born one month early is 2630 grams. Assume that the population has a standard deviation of 220 grams. Sketch the distribution of birth weights (in grams) of children born one month early. Calculate probability of a child born one month early with a birth weight between 2100 grams and 2900 grams. Find the weight which corresponds to the top 25% of birth weights for babies born one month early.
- From a sample with n = 12, the mean number of televisions per household is 2 with a standard deviation of 1 television. Using Chebychev's Theorem, determine at least how many of the households have between 0 and 4 televisions. At least of the households have between 0 and 4 televisions. (Simplify your answer.)Assume that adults have IQ scores that are normally distributed with a mean of 95.4 and a standard deviation of 21. Find the probability that a randomly selected adult has an IQ greater than 134.1. (Hint: Draw a graph.) The probability that a randomly selected adult from this group has an IQ greater than 134.1 is (Round to four decimal places as needed.)