The time (in minutes) needed to repair a machine may be modelled by a random variable having the exponential distribution with a mean of 60 (minutes). Last year, there were 100 independent machine breakdowns. LetT denote the mean (average) repair time of the 100 machine breakdowns.(a) What is the variance of T?Answer:[Select](b) What is the probability that T is not longer than 30 minutes? That is, compute P(T≤ 30).Answer: [Select]

Answered: The time (in minutes) needed to repair…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The normal random variable X has mean 4 and variance 1.22. Find the probability that: * * X < 2.5 X lies between 2.5 and 7
Which value for x will result in the greatest relative frequency given discrete random variable X, when X∼B(4,1/10)? A x=5 B x=3 C x=1 D x=0
May I know the answer of Q11 subpart, d and e ?
Let x be a random variable that represents hemoglobin count (HC) in grams per 100 milliliters of whole blood. Then x has a distribution that is approximately normal, with population mean of about 14 for healthy adult women. Suppose that a female patient has taken 10 laboratory blood tests during the past year. The HC data sent to the patient's doctor are as follows. 14 19 17 20 15 12 13 18 17 10 (a) Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.) x= s= (b) Does this information indicate that the population average HC for this patient is higher than 14? Use ? = 0.01. (i) State the null hypotheses H0 and the alternate hypothesis H1 . H0 : μ ---Select--- < = ≤ > ≠ ≥ H1 : μ ---Select--- > = ≥ ≤ < ≠ (ii) What is the value of the sample test statistic? (Round your answer to three decimal places.) (iii) Compute the P-value. (Round your answer to four decimal places.)…
Let x be a random variable that represents hemoglobin count (HC) in grams per 100 milliliters of whole blood. Then x has a distribution that is approximately normal, with population mean of about 14 for healthy adult women. Suppose that a female patient has taken 10 laboratory blood tests during the past year. The HC data sent to the patient's doctor are as follows. 14 17 16 18 15 12 14 17 17 11 (i) Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.) x = s = (ii) Does this information indicate that the population average HC for this patient is higher than 14? Use α = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. a: μ = 14; H1: μ < 14 b: μ = 14; H1: μ ≠ 14 c: μ > 14; H1: μ = 14 d: μ < 14; H1: μ = 14 e: μ = 14; H1: μ > 14 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The standard normal, since we assume…
Let x be a random variable that represents hemoglobin count (HC) in grams per 100 milliliters of whole blood. Then x has a distribution that is approximately normal, with population mean of about 14 for healthy adult women. Suppose that a female patient has taken 10 laboratory blood tests during the past year. The HC data sent to the patient's doctor are as follows. 14 18 15 19 13 11 15 18 15 12 (i) Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.) X = S = (ii) Does this information indicate that the population average HC for this patient is higher than 14? Use a = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. О Но: и 3D 14;B Hі: и 14; Hі: и %3D 14 Но: и 14 О Но: и 3D 14;B Hi: и # 14 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal, since we assume that x has a normal distribution and o is…
4. The battery life of a fully charge iPhone 13 Pro on a standby follows a normally distributed with mean 7 hour and variance o² fl = 1 hours. = (a) Write out the integral form of the probability that a fully-charged iPhone 13 Pro last between 7 and 9 hours on standby. then use the pnorm function in R to find this probability. (b) What is the probability that a fully-charged iPhone 13 Pro last less than 5 hours? (c) What is the probability that a fully-charged iPhone 13 Pro last more than 9 hours? (d) What is the minimum time a fully-charged iPhone 13 Pro need to last in order to be in the top 10% best quality?
9. This is a simplified inventory problem. Suppose that it costs c dollars to stock anitem and that the item sells for s dollars. Suppose that the number of items thatwill be asked for by customers is a random variable with the frequency functionp(k). Find a rule for the number of items that should be stocked in order tomaximize the expected income. (Hint: Consider the difference of successiveterms.)
Suppose the horses in a large stable have a mean weight of 818 lbs, and a variance of 3481. What is the probability that the mean weight of the sample of horses would differ from the population mean by less than 18 lbs if 34 horses are sampled at random from the stable? 0.920 0.925 0.912 O 0.945 None of these t
3. Let X be the mean of a random sample of n = 25 from the distribution with a mean of 30 and a variance of 9. Find an approximated probability that the sample mean is between 29.8 and 30.6.
Let x be a random variable that represents hemoglobin count (HC) in grams per 100 milliliters of whole blood. Then x has a distribution that is approximately normal, with a population mean of about 14 for healthy adult women. Suppose that a female patient has taken 10 laboratory blood tests during the past year. The HC data sent to the patient's doctor are as follows. 15 18 15 20 15 13 14 18 16 10 (i) Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.) x = s = (ii) Does this information indicate that the population average HC for this patient is higher than 14? Use α = 0.01. (a) What is the level of significance?' (b) What is the value of the sample test statistic? (Round your answer to three decimal places.)
Let x be a random variable that represents hemoglobin count (HC) in grams per 100 milliliters of whole blood. Then x has a distribution that is approximately normal, with population mean of about 14 for healthy adult women. Suppose that a female patient has taken 10 laboratory blood tests during the past year. The HC data sent to the patient's doctor are as follows. 16 17 15 20 14 13 14 16 16 11 (a) Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.) x=s= (b) Does this information indicate that the population average HC for this patient is higher than 14? Use ? = 0.01. (i) What is the level of significance? State the null and alternate hypotheses. H0: ? = 14; H1: ? < 14H0: ? > 14; H1: ? = 14 H0: ? < 14; H1: ? = 14H0: ? = 14; H1: ? > 14H0: ? = 14; H1: ? ≠ 14 (ii) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The…

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