A Christmas tree light has an expected life of 210 hr and a standard deviation of 2 hr.(a) Find a bound on the probability that one of these Christmas tree lights will require replacement between 200 hr and 220 hr. (Enter your answer to two decimal places.)at least(b) Suppose a large city uses 160,000 of these Christmas tree lights as part of its Christmas decorations. Estimate the number of lights that are likely to require replacement between 190 hr and 230 hr ofuse.lights

Given information- Expected life of light, μ = 210 hr Standard deviation, σ = 2 hr a) Probability of…

Answered: A Christmas tree light has an expected…

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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Consider a cohort of patients receiving an experimental two-year treatment for a serious disease. Suppose that only 20% of the patients survive to the end of the second year. Assume CFM (constant force of mortality) within each year of treatment. Find the probability that a patient who survives the first four months dies by the end of the 20th month. Round to 4 decimal places.
Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading between -0.915°C and -0.503°C.P(−0.915 < Z < -0.503)=
If the power received at the MU is lognormal with standard deviation of 9dB, the outage probability can be expressed as erfc(x)/2. determine the value of x given the average power received is -97dBm and the threshold power is -101dBm.
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The lifespans of light bulbs are known to follow an exponential distribution. The exponential distribution, often denoted exp(β), is characterized by a single mean parameter β. The exponential distribution has a unique property that its standard deviation is equal to its mean. Suppose you order 100 light bulbs known to each have lifespans (in years) distributed according to exp(4). What is the probability that the average lifespan of your 100 light bulbs exceeds 5 years? (Using R it possible)

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