The solution of Question 11: Average number of failure per year = 3
So, the rate parameter
The pdf of Poisson's distribution is given by
where x is the number of failures.
a) The probability that the test tool will never fail in a year is
b) For a three month period, the rate parameter would be
The probability that the test tool will never fail in a 3-month period
c) For a six months period, the rate parameter would be
The probability that the test tool will fail twice in a 6-month period
d) For a 9 months period, the rate parameter would be
The probability that the test tool will fail 2 or more times in a 9-month period = 1 - The probability that the test tool will fail never or just once in a 9-months period
Thank You!! Please Upvote!!
14. The measured free compressive strength averages of the cylindrical ground samples are reported to be...
The compressive strength of samples of cement can be modeled by a normal distribution with a mean of 6000 kilograms per square centimeter and a standar deviation of 100 kilograms per square centimeter c) what strength is exceeded by 95% of the samples? The life of a semiconductor laser at a constant power is normally distributed with a mean of 7000 hours and a standar deviation of 600 hours a) what is the probability that a laser fails before 5000...
A mixture of pulverized fuel ash and Portland cement to be used for grouting should have a compressive strength of more than 1300 KN/m2. The mixture will not be used unless experimental evidence indicates conclusively that the strength specification has been met. Suppose compressive strength for specimens of this mixture is normally distributed with σ-60. Let μ denote the true average compressive strength (a) What are the appropriate null and alternative hypotheses? Ho: μ < 1300 Hai μ-1300 Hu: μ-1300...
Can Anyone help me with these 7 questions? Questions: Q1. A random sample has been taken from a normal distribution and the following confidence intervals constructed using the same data: (38.02, 61.98) and (39.95, 60.05) (a) What is the value of the sample mean? (b) One of these intervals is a 95% CI and the other is a 90% CI. Which one is the 95% CI? Why? Q2. A civil engineer is analyzing the compressive strength of concrete. Compressive strength...
111184 [Read-Old . Weed 1: distributions The probability that a part inspected is defective is 0.09, what is the probability of having 2 defects out of the next 5 parts inspected? Name the distibution. Generate Probability Distr. Function Question 2 expecied valaes Calculate the following using the frequency table below: Use the following probability distribution function ( is from the population data). Using Moment generating Functions, Calculate 1. the mean ) 2 the variance (Vx) 3. Standard Deviation (Sx) Answer!...
As concrete cures, it gains strength. The following data represent the 7-day and 28-day strength in pounds per square inch (psi) ofa certain type of concrete. Complete parts (a) through (f) below. 7-Dy Strength (psi)x 33802620 3390 2300 3330 4070 4850 28-Day Strength (psi,y 4190 (a) Treating the 7-day strength as the explanatory variable, use technology to determine the estimates of Po and pl P 1753.9 (Round to one decimal place as needed.) P sb9707 (Round to four decimal places...
Tutorial Exercise In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities Do you take the free samples offered in supermarkets? About 63% of all customers will take free samples. Furthermore, of those who take the free samples, about 32% will buy what they have sampled. Suppose you set up a counter in a supermarket offering free samples of a new product. The...
1) Continuous random variables are obtained from data that can be measured rather than counted. A) True B) False 2) Discrete variables have values that can be measured. A) True B) False 3) Determine whether the random variable described is discrete or continuous. The number of minutes you must wait in line at the grocery store A) continuous B) discrete 4) Determine whether the random variable described is discrete or continuous. The total value of a set of coins A)...
As concrete cures, it gains strength. The following data represent the 7-day and 28-day strength in pounds per square inch (psi) of a certain type of concrete. Complete parts (a) through (f) below. 7-Day Strength (psi), x 3340 3380 3330 2300 2480 28-Day Strength (psi), y 4630 5020 4850 4070 4120 (a) Treating the 7-day strength as the explanatory variable, x, use technology to determine the estimates of beta 0 and beta 1. beta 0almost equalsb 0equals nothing (Round to...
As concrete cures, it gains strength. The following data represent the 7-day and 28-day strength in pounds per square inch (psi) of a certain type of concrete. Complete parts (a) through (f) below. 7-Day Strength (psi), x 3340 3380 3330 2300 2480 28-Day Strength (psi), y 4630 5020 4850 4070 4120 (a) Treating the 7-day strength as the explanatory variable, x, use technology to determine the estimates of beta 0 and beta 1. beta 0almost equalsb 0equals nothing (Round to...
1. Many companies use a incoming shipments of parts, raw materials, and so on. In the electronics industry, component parts are commonly shipped from suppliers in large lots. Inspection of a sample of n components can be viewed as the n trials of a binomial experimem. The outcome for each component tested (trialD will be that the component is classified as good or defective defective components in the lot do not exceed 1 %. Suppose a random sample of fiver...