A probability distribution has a mean of 12 and a standard deviation of 1/3. Use Chebyshev’s inequality to approximate the probability that an outcome of the experiment lies between 10 and 14.
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A
and a standard deviation of 1/3. Use
Chebyshev’s inequality to approximate the
probability that an outcome of the
experiment lies between 10 and 14.
A) 6
B) 0.9722
C) 0.8333
D) 0.5556
E) 0.4444
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- An unknown distribution has a mean of 90 and a standard deviation of 15.Samples of size n = 36 are drawn randomly from the population. Use the CentralLimit Theorem to answer the following.a. Find the standard deviation of the sample mean.b. Find the probability that the sample mean is between 85 and 92c. Find the value that is two standard deviations of the sample mean abovethe expected value, 90, of the sample mean.Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a standard deviation σ=20. Find the probability that a randomly selected adult has an IQ between 88 and 112. The probability that a randomly selected adult has an IQ between 88 and 112 is ________.The patient recovery time from a surgical procedure is normally distributed with a mean of 6.3 days and a standard deviation of 5.1 days A) Give thw distribution of X.X~_____(_____,_____) B.) What does the stndard deviation tell us about the spread of the data? C) Draw and label a distribution curve D) What is the probability of spending more then two days in recovery? E) What is thw 80th precentile for recovery items? Interpret in a sentence.
- Need answer asap.Q3: PVC pipe is manufactured with a mean diameter of 1.01 inch and a standard deviation of 0.003 inch. Find the probability that a random sample of n = 9 sections of pipe will have a sample mean diameter greater than 1.009 inch and less than 1.012 inch. (2000Assume that hybridization experiments are conducted with peas having the property that for offspring, there is a 0.75 probability that a pea has green pods. Assume that the offspring peas are randomly selected in groups of 24. Complete parts (a) through (c) below. a. Find the mean and the standard deviation for the numbers of peas with green pods in the groups of 24. The value of the mean is muμequals= peas. (Type an integer or a decimal. Do not round.) The value of the standard deviation is sigmaσequals= peas. (Round to one decimal place as needed.) b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high. Values ofpeas or fewer are significantly low. (Round to one decimal place as needed.) Values of nothing peas or greater are significantly high. (Round to one decimal place as needed.) c. Is a result of 11 peas with green pods a result that is significantly low? Why or why not? The result ▼ is…
- Assume that adults have IQ scores that are normally distributed with a mean of m = 105 and a standard deviation s =15. Find the probability that a randomly selected adult has an IQ between 91 and 119. The probability that a randomly selected adult has an IQ between 91 and 119 is ____.Let X represent the full height of a certain species of tree. Assume that X has a normal probability distribution with a mean of 160.5 ft and a standard deviation of 9.7 ft. A tree of this type grows in my backyard, and it stands 162.4 feet tall. Find the probability that the height of a randomly selected tree is as tall as mine or shorter. P(X 169.2) = Enter your answers as decimals accurate to 4 decimal places.Assume that a procedure yields a binomial distribution with n 1143 trials and the probability of success for one trial is p = 0.48. Find the mean for this binomial distribution. (Round answer to one decimal place.) Find the standard deviation for this distribution. (Round answer to two decimal places.) Use the range rule of thumb to find the minimum usual value u-20 and the maximum usual value p+2o. Enter answer as an interval using square-brackets only with whole numbers. usual values =
- Assume that females have pulse rates that are normally distributed with a mean of u=75,0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c) below. ne a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 78 beats per minute. ent The probability is (Round to four decimal places as needed.) b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 78 beats per minute. The probability is (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? O A. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. O B. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size. OC. Since the distribution is of sample means, not individuals,…The average yearly consumption of water per person in Lebanon is 120 liters with a standard deviation o. Suppose that the yearly consumption of water follow a normal distribution. Find o if the probability that the Lebanese people need more than 200 liters per year is equal to 0.2296. 64.9 O None of these O 108.1 O 87.72A probability distribution has a mean of 35 and a standard deviation of 4. Use Chebychev's inequality to find a bound on the probability that an outcome of the experiment lies between the following. (a) 30 and 40at least __%(b) 25 and 45at least ___%
