The time to failure (in hours) for a laser in a cytometry machine is modeled by an exponential distribution withthe answers to 3 decimal places.(a) What is the probability that the laser will last at least 20675 hours?(b) What is the probability that the laser will last at most 30974 hours? i(c) What is the probability that the laser will last between 20675 and 30974 hours? *= 0.00004. Round

Answered: The time to failure (in hours) for a…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Scores on the Wechsler Adult Intelligence Scale (a standard IQ test) for the 20-to-34 age group are approximately normally distributed with u = 110 and o = 25. (a) What percent of people aged 20 to 34 have IQs between 125 and 150? Round to 4 decimal places and then convert to a percentage. (b) MENSA is an elite organization that admits as members people who score in the top 2% on IQ tests. What score on the Wechsler Adult Intelligence Scale would an individual aged 20 to 34 have to earn to qualify for MENSA membership? Round your answer to 2 decimal places. %
a grade never repeated repeated sh n, = 1 349 x, =.30 n2 = 86 X2 = -.04 S1 =.97 S2 1.17 (a) The researcher is wondering that the average height of children who never re- peated a grade is higher than the average of children who repeated. Set up the appropriate H. and H.. (b) Propose a formula to calculate the test statistic and report the result. (Assumetwo populations have equal variance and both populations follow normal distributions). (c) Find the P-value and make your conclusion on a =.05.
how to solve?
I need help with finding all parts of this question 12
Consider an electronic component with a lifetime denoted by a random variable T which is modelled by an exponential distribution with a parameter of average lifetime B = 5. Part A: Exponential Distribution Write the probability that a component is still working after 5 years, as an expression: P(T > 5) = | dt Use t for T e() for exponential function ()! for factorial ( )*( ) for exponents • Help entering equations Part B: Probability Write the probability that a component is still working after 5 years, numerically: P(T > 5) = • Help entering equations Part C: Binomial Distribution Let X be the random variable representing the number of components that are still working after 5 years. Write the binomial distribution for at least 3 components that are still working, as an expression: P(X 2 3) = Use p for parameter p x for the value of the random variable X e() for exponential function C(n,x) for combination of "x out of n" (O! for factorial (O*) for exponents • Help entering equations…
A certain disease has an incidence rate of 0.9%. If the false negative rate is 8% and the false positive rate is 2%, compute the probability that a person who tests positive actually has the disease. 0.998 x 0.29466192170819 Give your answer accurate to at least 3 decimal places
3 Historical evidence indicates that times between fatal accidents on scheduled American domestic passenger flights have an approximately exponential distribution. Assume that the mean time between accidents is 44 days. (a) If one of the accidents occurred at 12:00 am on August 1 of a randomly selected year in the study period, what is the probability that another accident occurred that same month? (Round your answer to four decimal places.) (b) What is the variance of the times between accidents?
QUESTION 2 Given the probability density function f(x)=(0.02^9 x^8*e^(-0.02x))/8! for x>0 and f(x)=0 otherwise. Determine the mean and variance of the distribution. Round the answers to the nearest integer. a) the mean b) The variance
Solve for (A) to (D)
Hello can someone explain how to do these questions?
What is the probability of b and c

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